## Contents

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% What is distance like in higher dimensions?
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## Compute distances between random vectors in R^n as n increases

Dr. Josh Thompson, Northern Michigan University

for i = 1:2000; u = rand(1,i); % A random vector in R^i v = rand(1,i); % A random vector in R^i d(i) = norm(u-v); % The distance between u and v end % Create a figure, and hold all subsequent plotting effects on same plot figure; hold on; title('High Dimensional Distances Between Random Points'); xlabel('Dimension'); ylabel('Distance'); plot(d)