Date: Feb 19, 2013 6:41 AM
Author: mueckenh@rz.fh-augsburg.de
Subject: Re: Matheology § 222 Back to the roots
On 18 Feb., 23:08, William Hughes <wpihug...@gmail.com> wrote:

> On Feb 18, 10:40 pm, WM <mueck...@rz.fh-augsburg.de> wrote:

>

>

>

>

>

> > On 18 Feb., 19:19, William Hughes <wpihug...@gmail.com> wrote:

>

> > > > > Is there a potentially infinite sequence,

> > > > > x, such that the nth FIS of x consists of

> > > > > n 1's

>

> > 1

> > 11

> > 111

> > ...

>

> > > > Yes, of course

>

> > > Let y be a potentially infinite sequence

> > > where the nth FIS of y consists of a 1 followed

> > > by n-1 0's

>

> > 1

> > 10

> > 100

> > 1000

> > ...

>

> > > Are x and y coFIS?

>

> > No.

>

> Is y the first line of the potentially

> infinite list of potentially infinite

> sequences

>

> L=

>

> 1000...

> 11000...

> 111000...

> ...

>

> ?-

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

Usually we say then that both are identical.

Regards, WM