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Distributions of Leading Digits
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.



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.


"Distributions of Leading Digits" from The Wolfram Demonstrations Project
 http://demonstrations.wolfram.com/DistributionsOfLeadingDigits/
Contributed by: Stephen Wolfram
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