the coordinate transformation allows the exact calculation of some electrode configurations. in this paper the prolate spherical coordination transformation is used to calculate the field of a hyperboloiderod against plan electrode. the exact field is caculated using two new parameters: 1) electrodes spacing and 2) the radius of curvature of the tip of the rod electrode. the partial discharge i...

Curvilinear edges and surfaces are developed to span a given logically-cuboid distribution of nodes. The underlying construction uses four successive nodes to de ne a curve spanning the middle pair as follows: One interpolates each of the two successive triples of nodes with the segment of a circle or straight line. Then one blends the two segments continuously between the middle pair of nodes....

The determination of distillation boundaries for four-component mixtures that exhibit azeotropy is studied. It is shown that these distillation boundaries correspond to local maxima in surface areas under conditions of Levi-Civita parallelism. An extension of the optimization methodology given in Lucia and Taylor is used to determine local maxima in surface areas by repeatedly computing maximum...

The ability to assess frontal lobe function in a rapid, objective, and standardized way, without the need for expertise in cognitive test administration might be particularly helpful in mild traumatic brain injury (TBI), where objective measures are needed. Functional near infrared spectroscopy (fNIRS) is a reliable technique to noninvasively measure local hemodynamic changes in brain areas nea...

A type of transformation media called α media is proposed by performing a direct transformation to the metric tensor of another kind of media, called seed media. Light rays in an α medium correlate to those in its seed medium through a simple displacement or rotation relation. Three types of commonly encountered anisotropic media are covered by the concept of α media: (1) media of slab shape, h...

Previously, we presented a method for automatic registration of real time multi-view range image obtained under the condition free from any artificial restriction. This paper describes a method for real time and automatic reconstruction of thus registered multi-view range images by means of geodesic dome type data structure. It ensures isotropy of sampling region and so may faithfully represent...

The need for regional and global models for spatially distributed phenomena and processes has driven the development of large raster databases of terrain elevation, population, land cover, vegetation, soils, temperature, and rainfall. The use of commercial geographic information system software to process these databases requires projection from spherical coordinates to plane coordinate systems...

Ramasubramanian, V. and K.K. Paliwal, An efficient approximation-elimination algorithm for fast nearest-neighbour search based on a spherical distance coordinate formulation, Pattern Recognition Letters 13 (1992) 471-480. An efficient approximation-elimination search algorithm for fast nearest-neighbour search is proposed based on a spherical distance coordinate formuTation, where a vector in K...