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Physical Sciences and Mathematics Commons

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Full-Text Articles in Physical Sciences and Mathematics

Conditional Tests On Basins Of Attraction With Finite Fields, Ian H. Dinwoodie Mar 2014

Conditional Tests On Basins Of Attraction With Finite Fields, Ian H. Dinwoodie

Mathematics and Statistics Faculty Publications and Presentations

An iterative method is given for computing the polynomials that vanish on the basin of attraction of a steady state in discrete polynomial dynamics with finite field coefficients. The algorithm is applied to dynamics of a T cell survival network where it is used to compare transition maps conditional on a basin of attraction.


Coverage And Detection In Wireless Sensor Networks., Mrinal Nandi Dr. Feb 2014

Coverage And Detection In Wireless Sensor Networks., Mrinal Nandi Dr.

Doctoral Theses

A Wireless Sensor Networks (WSNs), which are two or three dimensional systems, usually consist of a large number of small sensors equipped with some processing circuit, and a wireless transceiver. The sensors have small size, low battery capacity, non-renewable power supply, small processing power, limited buffer capacity and low-power radio. They may measure distance, direction, speed, humidity, wind speed, soil makeup, temperature, chemicals, light, and various other parameters. The sensors are autonomous devices with integrated sensing, processing, and communication capabilities.In this thesis, we consider ‘coverage problem’ and ‘detection problem’ in Wireless Sensor Networks (WSNs) in grid as well as in …


Graph-Ene, James E. Torres Jan 2014

Graph-Ene, James E. Torres

Honors Projects

GRAPH-ENE is a rich internet application for building and manipulating undirected, simple graphs. It is intended for use as a classroom teaching aid, plus as a tool for students to interactively manipulate graphs for assignments. Being web based, it is portable—it can run anywhere a browser is available. Since it is interactive, it provides problem-solving capabilities that are not available using pencil and paper.