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Analysis Of An Integral Metric On Hyperspaces, Darren Schmidt
Analysis Of An Integral Metric On Hyperspaces, Darren Schmidt
Undergraduate Research Conference at Missouri S&T
In this paper, we will be investigating how to compute the integral distance defined by Dr. Insall and Dr. Charatonik, and we will analyze the results from this computation. We develop a way to compute the integral distance by using Monte-Carlo Integration, and we analyze the time complexity and the error that results from this method of computation. We also investigate when this distance function is a metric, and how this metric compares to some other common metrics.