Mapping cylinder neighborhoods

Lectures on Controlled Topology: Mapping Cylinder Neighborhoods

The existence theorem for mapping cylinder neighborhoods is discussed as a prototypical example of controlled topology and its applications. The first of a projected series developed from lectures at the Summer School on High-Dimensional Topology, Trieste Italy 2001

Health, Poverty, and Place in Accra, Ghana: Mapping Neighborhoods.

The overall objective of our research project is to understand the spatial inequality in health in Accra, the capital city of Ghana. We also utilize GIS technology to measure the association of adverse health and mortality outcomes with neighborhood ecology. We approached this in variety of ways, including multivariate analysis of imagery classification and census data. A key element in the res...

Detecting Thalamic Abnormalities in Autism Using Cylinder Conformal Mapping

A number of studies have documented that autism has a neurobiological basis, but the anatomical extent of these neurobiological abnormalities is largely unknown. In this paper, we applied advanced computational techniques to extract 3D surface models of the thalamus and subsequently analyze highly localized shape variations in a homogeneous group of autism children. In particular, a new conform...

Blanket Cylinder Impression Cylinder Printing Plate Cylinder Moistening Roller

Cylinder Rolling on Another Rolling Cylinder

This problem was suggested by Bradley Klee. For the related case of one cylinder rolling inside another, see [1]. When one cylinder is directly above the other, we define the line of contact of the lower cylinder, 1, with the horizontal plane to be the z-axis, at x = y = 0. Then, the condition of rolling without slipping for the lower cylinder is that when it has rolled (positive) distance x1, ...