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> you get a Gaussian distribution as the dimension goes to infinity. Wow, that's really cool. I wonder, I'm sure you could prove this in more direct ways, but
by repsilat 10y ago
> you get a Gaussian distribution as the dimension goes to infinity.
Wow, that's really cool. I wonder, I'm sure you could prove this in more direct ways, but is it also a consequence of the central limit theorem?
- effie 10y agoThat's doubtful, as no random variables are apparently involved in the questions of geometry. The situation with the Gauss function is perhaps similar to that of pi, which appeared originally in geometry of circles and only later was discovered in formulae for probability distributions or sums of infinite series. Neither Gauss function nor pi seem to be naturally connected to questions of probability; but applications of the probability theory to special situations lead to expressions that use these most basic mathematical concepts.