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Really the germane point isn't that it isn't specifically a uniform distribution, but that there is clearly structure to the distribution of those points. The l
by gpm 1y ago
Really the germane point isn't that it isn't specifically a uniform distribution, but that there is clearly structure to the distribution of those points. The locations are visibly not a set of IID random variables, because IID random variables don't space out that... uniformly.
That said, while I agree "uniform" not followed by an inflection of "distribution" has many other meanings, I do not agree that it the context of math, in a context where there is a standard uniform distribution, and without other relevant context, "uniformly distributed" can properly be understood to mean anything other than distributed via the standard uniform distribution.
- pepinator 1y agoThe notion of being uniformly distributed has a very specific meaning in mathematics [1]. If you don't believe me, maybe you believe Tao [2]. [1] https://en.m.wikipedia.org/wiki/Equidistribution_theorem https://en.m.wikipedia.org/wiki/Equidistribution_theorem [2] https://terrytao.wordpress.com/2020/01/25/equidistribution-of-syracuse-random-variables-and-density-of-collatz-preimages/ https://terrytao.wordpress.com/2020/01/25/equidistribution-o...
- deleted 1y ago[deleted]