e digits random?

William H. Geiger III whgiii at amaranth.com
Sun Jan 19 13:02:02 PST 1997


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In <199701191820.MAA24006 at nic.stolaf.edu>, on 01/19/97 at 02:20 PM,
   Sir Robin of Locksley <tozser at stolaf.edu> said:


> >Also, is it true that the sequence of digits in e is random because the ONLY way to get
>to the
> >p'th digit is to calculate the p-1'st digits?
> >
>Exactly! This is called recursive definition. To get the p-th set in the
>sequence you need to find p-1 first...

This still would not make the digits random since knowing p-1 one can
calculate p.

In a random series of digits knowing p-1 should not have any effect on the
probability of the value of p.

With e if you know the value of p-1 is 7 then you can calculate the value of p and know if
p is 3 or not. In a random series knowing that p-1 is 7 there should be an equal
probability of p being 3 or any other number.

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