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A System For Measuring Radiation Induced Chemical Products In Atmospheric Gases Using Optical Detection Methods, Tyler Webster Reese
A System For Measuring Radiation Induced Chemical Products In Atmospheric Gases Using Optical Detection Methods, Tyler Webster Reese
Master's Theses
This research is a part of an effort to characterize the chemical products generated by radiation interacting with atmosphere. One method of detecting ionizing radiation is to monitor the radiation induced products in the atmosphere around the source. This project explored the potential for using Cavity Ringdown Spectroscopy to evaluate the presence of chemical products generated by the air-radiation interaction near an alpha radiation source. In particular, measurements of ozone concentration within a controlled atmosphere chamber as affected by radiation exposure were obtained.
The first portion of this thesis provides brief reviews of ionizing radiation and ozone formation as well …
An F4-Style Involutive Basis Algorithm, Miao Yu
An F4-Style Involutive Basis Algorithm, Miao Yu
Master's Theses
How to solve a linear equation system? The echelon form of this system will be obtained by Gaussian elimination then give us the solution. Similarly, Gröbner Basis is the “nice form” of nonlinear equation systems that can span all the polynomials in the given ideal [4]. So we can use Gröbner Basis to analyze the solution of a nonlinear equation system.
But how to compute a Gröbner Basis? There exist several ways to do it. Buchberger’s algorithm is the original method [2]. Gebauer-Möller algorithm [6] is a refined Buchberger’s algorithm. The F4 algorithm [5] uses matrix reduction to compute efficiently. …