Distributions of Leading Digits

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Many sequences have the property that the distribution of their leading digits converges to a definite distribution. Check out a few sequences, and note that not all of them converge to the same distribution.

Contributed by: Stephen Wolfram (March 2011)
Open content licensed under CC BY-NC-SA


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In many cases, digit s seems to appear with a frequency that approaches —though in no case is it rigorously proved that this will happen.



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