At 12:38 AM 7/13/99 -0400, Lucas Wiman wrote:
>Here are the percentages for the first 3000 powers of 2. The first collumn
>is the percentage, the second is the difference from the predicted Benford
>percentage. Weird, I would have thought that it wouldn't affect powers of
>two...
That's the type of thing that follows the law precisely in the long run.
(the repeated multiplications). A way to look at this is to think of a
slide rule (if you remember them). Anything that has a uniform
distribution on the slide rule follows Benford's law. The distance from
1.0 to 2.0 on the slide rule is 0.301... of the length of the scale, etc.
A repeated multiplication by a number other than 0 or 1 gives a uniform
distribution along the scale of the slide rule.
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| Jud "program first and think later" McCranie |
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