It is shown that there is no Whitney map on the hyperspace 2x for nonmetrizable Hausdorff compact spaces X. Examples are presented of non-metrizable continua X which admit and ones which do not admit a Whitney map for C(X). Given a Hausdorff compact space X, we consider the space 2x of all non-empty compact subsets of X equipped with the Vietoris topology. Any subspace H (X) of the space 2x is ...

In musical performances with expressive tempo modulation, the tempo variation can be modelled as a sequence of tempo arcs. Previous authors have used this idea to estimate series of piecewise arc segments from data. In this paper we describe a probabilistic model for a time-series process of this nature, and use this to perform inference of singleand multi-level arc processes from data. We desc...

In musical performances with expressive tempo modulation, the tempo variation can be modelled as a sequence of tempo arcs. Previous authors have used this idea to estimate series of piecewise arc segments from data. In this paper we describe a probabilistic model for a time-series process of this nature, and use this to perform inference of singleand multi-level arc processes from data. We desc...

Integrating FEMAs Enhanced DFIRMDB Model With ESRI's Arc Hydro Data Model Track: Water Resources Author(s): Mark Aurit, Chas Crandel, Howard Davis Advancements in technology, such as the release of ArcGIS 8, the geodatabase model, and the introduction of the Arc Hydro data model will allow for the integration of GIS technology and floodplain management. The Arc Hydro data model was designed to ...

ents near these stations become increasingly steep. The generalized skew map selected for this study was based on a grid spacing of 20,000 meters and 12 stations. The part of the map for western Oregon is shown in figure 8. This map was selected because it had the smallest mean square error while having skew isolines that are smooth and with no peaks or valleys. This map offers considerable imp...

An integrated experimental approach is presented for processing the optical information produced from axis-symmetric electric arc plasma. The method is based on digital image processing and chromatic modulation techniques. Chromaticity changes in a number of chromatic parameters are related to changes in physical electric arc characteristics and properties (e.g. regions, temperature). The resul...

This paper concerns pinched surfaces, also known as pseudosurfaces. A map is a graph G embedded on an oriented pinched surface. An arc of a map is an edge of G with a fixed direction. A regular map is one with a group of orientation-preserving automorphisms that acts regularly on the arcs of a map, i.e., that acts both freely and transitively. We study regular maps on pinched surfaces. We give ...

PURPOSE The authors propose a novel optimization model for volumetric modulated arc therapy (VMAT) planning that directly optimizes deliverable leaf trajectories in the treatment plan optimization problem, and eliminates the need for a separate arc-sequencing step. METHODS In this model, a 360° arc is divided into a given number of arc segments in which the leaves move unidirectionally. This ...