Date: Feb 19, 2013 8:10 AM
Author: William Hughes
Subject: Re: Matheology § 222 Back to the roots

On Feb 19, 12:41 pm, WM <mueck...@rz.fh-augsburg.de> wrote:
> On 18 Feb., 23:08, William Hughes <wpihug...@gmail.com> wrote:
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> > On Feb 18, 10:40 pm, WM <mueck...@rz.fh-augsburg.de> wrote:
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> > > On 18 Feb., 19:19, William Hughes <wpihug...@gmail.com> wrote:
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> > > > > > Is there a potentially infinite sequence,
> > > > > > x, such that the nth FIS of x consists of
> > > > > > n 1's

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> > > 1
> > > 11
> > > 111
> > > ...

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> > > > > Yes, of course
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> > > > Let y be a potentially infinite sequence
> > > > where the nth FIS of y consists of a 1 followed
> > > > by n-1 0's

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> > > 1
> > > 10
> > > 100
> > > 1000
> > > ...

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> > > > Are x and y coFIS?
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> > > No.
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> > Is y the first line of the potentially
> > infinite list of potentially infinite
> > sequences

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> > L=
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> > 1000...
> > 11000...
> > 111000...
> > ...

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> > ?-
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> The n-th term of y and of the first line of L are coFIS up to every n.


If two potentially infinite sequences have the same FIS's
up to every n then they are coFIS.

The concept "coFIS up to n" has not been and need not be defined.

Are y and the first line of L coFIS?