Re: ******* TRY THESE SCI.MATH **********
From: The Ghost In The Machine (ewill_at_sirius.athghost7038suus.net)
Date: 01/20/05
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Date: Thu, 20 Jan 2005 15:00:19 GMT
In sci.logic, |-|erc
<h@r.c>
wrote
on Thu, 20 Jan 2005 14:11:30 +1000
<358paiF4ki694U1@individual.net>:
> Take any reasonable interpretration of the terms you can to get an answer where possible.
> If there is ambiguity, state all possible interpretations and answer each.
>
>
>
> "A random real number will be on a computables list to an infinite number of digits" True / False / Other
Probability 0.00%.
> ____
>
>
> "All finite subsequences of a random real number will be on a computables list" True / False / Other
Probability 0.00%.
> ____
>
>
> "All digits of a random real number are covered in all finite subsequences of that number" True / False / Other
Reformulate.
> ____
>
>
> "If you have the list of computables, a random real number can
> be on it to an infinite number of digits, and yet not be on
> he list" True / False / Other
True as phrased. (Example: S_3 and 1/3, TX_10 and any q whose
denominator has a prime factor other than 2 or 5)
> ____
>
>
> How many digits of a random sequence have the prefix up to that digit
> occur on a member of any complete computable number list?
>
> Random Sequence =
> <593738..........................................................................................>
> |<--- How many of these digits satisfy the question? --->|
>
> UTM(row, col) mod 10
> 1 <23424............>
> 2 <54434............>
> 3 <59373.............>
> ...
If you're referring to RS(d) == UTM(d,d) mod 10, the probability
is 0.00% again.
If you're referring to RS(d) in {UTM(row, col) mod 10: row, col in N}
the probability is 1.00%.
Please clarify your question.
[.sigsnip]
-- #191, ewill3@earthlink.net It's still legal to go .sigless.
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