Re: David Ullrich answer the questions please...........

From: David C. Ullrich (ullrich_at_math.okstate.edu)
Date: 11/25/04 

Date: Thu, 25 Nov 2004 06:05:52 -0600

On 24 Nov 2004 17:59:57 -0800, "HERC777" <herc777@hotmail.com> wrote:

>OK, I'm going to see if you can answer this new question, because I
>fully know you are mistaken that you can find a new (different)
>sequence when that sequence is fully within_the_range of an effectively
>identical person in a set of infinite people all trying to copy you.

Beezarre. You keep changing the question - now the others are
trying to copy me? _Previously_ they went first. You really need
to make up your mind what the question is...

>Try to get the gist of it and work out my intended meaning if there is
>ambiguity.
>
>
>Given
>1/ an infinite sequence D
>2/ a set S of s infinite lists of infinite sequences

Is S countable?

>Given s is sufficiently large, what portion of S contain a finite
>maximum to the initial length of D that is matched?

This question makes no sense unless I assume that "s" was a typo for
"S".

Assuming that, the question makes no sense. What initial length
are you talking about? What the heck is "a finite maximum to
an initial length"?

Oh. Maybe you mean to ask what portion of S contains an
initial segment of maximal length matching D.

It's obviously impossible to answer this question without
more information about S. From what you've told us it could
be that none of the sequences in S match D at _all_. Or it
could be that all the sequences in S are exactly the same
as D.

>Say D = <HHHHHH..>
>
>Say S1 = {
><HTHTHTHT..>
><TTTTHTHTH..>
><HHHTHTHT..>
>...
>}
>
>Assume S1 due to rare random fluctuations does not contain infinite H..
>Then it has some finite limit,

Huh? I have no idea what it means to say S1 has some finite limit.

(Hint: this is because it makes no sense to say that.)

>it could be 3 by the example above.
>
>Basically, what is the confidence interval that an infinite list does
>not contain some given sequence?
>Will it tend to always match it to infinite digits?
>Will it tend to contain some finite limit?
>
>99% of the time, any given sequence [WILL] / [WILL NOT] be matched to
>infinite precision on a random infinite list.
>
>Herc

************************

David C. Ullrich

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