A new bipyridine ligand based on a T-shaped 2,4,7-trisubstituted benzimidazole framework was synthesized with a 90° angle between the two nitrogen donors. When combined with convergent [Pt(dppp)](2+) corners, eight right angles (four metal and four ligand) combine to form a M4L4 cluster with an unusual folded-cube structure.

The first continuous silver polyhedra framework containing four kinds of coordination spheres has been successfully prepared by the reaction of silver(I) nitrate and 4(1H)-pyridone-3-sulfonic acid. This polyhedra framework is constructed from four kinds of silver(I) polyhedra by sharing corners, edges and faces.

A novel compact circular-polarization (CP) operation of the square microstrip antenna with four slits and a pair of truncated corners is proposed and investigated. Experimental results show that the proposed compact CP design can have an antenna-size reduction of about 36% as compared to the conventional corner-truncated square microstrip antenna at a given operating frequency. Also, the requir...

W.K. Kellogg Biological Station, Michigan State University, Hickory Corners, MI 49060, USA Great Lakes Bioenergy Research Center, Michigan State University, East Lansing, MI 48824, USA Department of Integrative Biology, Michigan State University, East Lansing, MI 48824, USA Department of Mathematics, Michigan State University, East Lansing, MI 48824, USA Department of Earth and Environmental Sc...

Abstract. In this paper we investigate theoretically an approximation technique for avoiding the crowding phenomenon in numerical conformal mapping. The method applies to conformal maps from rectangles to "long quadrilaterals," i.e., Jordan domains bounded by two parallel straight lines and two Jordan arcs, where the two arcs are far apart. We require that these maps take the four corners of th...

Many important image cues such as 'T'-,'X'and 'L'junctions have a local two-dimensional structure. Conventional edge detectors are designed for one-dimensional 'events'. Even the best edge operators can not reliably detect these two-dimensional features. This contribution proposes a solution to the two-dimensional problem. In this paper, I address the following: • 'L'-junction detection. Previo...