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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> 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?