A novel approach is introduced to define a quantitative measure of closeness between vector fields. The usefulness of this measurement can be seen when comparing computational and experimental flowâ€¦ (More)

A method for comparing three-dimensional vector fields constructed from simple critical points is described. This method is a natural extension of the previous work [1] which defined a distanceâ€¦ (More)

As the cost of operations comes under greater scrutiny, the use of automated systems is receiving greater attention. A vital aspect of on-board automation is the manner in which system knowledge andâ€¦ (More)

Combinatorial topology, also known as \rubber sheet geometry", has extensive applications in geometry and analysis, many of which result from connections with the theory of di erential equations. Aâ€¦ (More)

As part of its space operations research program, Stanford University's Space Systems Development Laboratory (SSDL) is implementing an automated state of health assessment and notification system forâ€¦ (More)

field topology has received much attention in both the visualization and the physical science communities. However, to our knowledge, almost no work has been done on quantitative measurements forâ€¦ (More)

We recently discovered that C-shaped sub-wavelength (nano) metallic apertures when irradiated at specific resonance frequencies have extraordinary power transmission five to six orders of magnitudeâ€¦ (More)