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by blackholesRhot
3624 days ago
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This general area is called "concentration of measure" in case you want to Google around and find other examples. A simple but informative calculation is to compute the volume of a unit n-sphere and the volume contained between radius .9-1, and then see how the ratio of these scales with dimension. You'll see that that almost all of the volume is contained close to the boundary (exponential in dimension.) |
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