It is shown that in the model obtained by adding any number of random reals to a model of CH, there is a compact Hausdorff space of weight ω1 which contains no non-trivial converging sequences. It is shown that for certain spaces with no converging sequences, the addition of random reals will not add any converging sequences.

this paper will discuss several emerging and converging technologies and college students perceive some of the ethical issues related to the emerging and converging technologies such as biometrics technology, nanotechnology, nanocomputing, expert systems, pervasive computing, and intelligent user interfaces. Keywords-emerging technology , converging technology, ethical

analysis of non-laminar flows in coarse alluvial beds has a wide range of applications in various civil engineering, oil and gas, and geology problems. darcy equation is not valid to analyze transient and turbulent flows, so non-linear equations should be applied. non-linear equations are classified into power and binomial equations. binomial equation is more accurate in a wide range of velocit...

The behaviour of converging spherical shock waves is considered using Whitham’s theory of geometrical shock dynamics. An analysis of converging shocks whose initial shape takes the form of regular polyhedra is presented. The analysis of this problem is motivated by the earlier work on converging cylindrical shocks discussed in Schwendeman & Whitham (1987). In that paper, exact solutions were re...

This paper introduces a Relative Mapping Algorithm. This algorithm presents a new way of looking at the SLAM problem that does not use Probability, Iterative Closest Point, or Scan Matching techniques. A map of landmarks is generated by using the average relative location difference between landmarks. This means the algorithm does not use any known, estimated or predicted movement or position d...

The Gouy phase, sometimes called the phase anomaly, is the remarkable effect that in the region of focus a converging wave field undergoes a rapid phase change by an amount of π, compared to the phase of a plane wave of the same frequency. This phenomenon plays a crucial role in any application where fields are focused, such as optical coherence tomography, mode selection in laser resonators, a...

The DMD (Digital Micromirror Device) has become an integral part of the instrumentation for many applications. Prior characterization of this device has been focused on its use in DLP (TI Digital Light Processing) projector applications where a collimated wavefront impinges on the DMD. The results of such investigations are not applicable to using DMDs at the focal plane of an optical system wh...

Let P(G, t) and F(G, t) denote the chromatic and flow polynomials of a graph G. G.D. Birkhoff and D.C. Lewis showed that, if G is a plane near triangulation, then the only zeros of P(G, t) in (−∞,2] are 0, 1 and 2. We will extend their theorem by showing that a stonger result to the dual statement holds for both planar and non-planar graphs: if G is a bridgeless graph with at most one vertex of...

Consider a convex polygon P in the plane, and denote by U a homothetical copy of the vector sum of P and −P . Then the polygon U , as unit ball, induces a norm such that, with respect to this norm, P has constant Minkowskian width. We define notions like Minkowskian curvature, evolutes and involutes for polygons of constant U -width, and we prove that many properties of the smooth case, which i...