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Topic: Matheology § 203
Replies: 202   Last Post: Feb 10, 2013 3:34 AM

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mueckenh@rz.fh-augsburg.de

Posts: 15,039
Registered: 1/29/05
Re: Matheology § 203
Posted: Feb 2, 2013 4:45 AM
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On 1 Feb., 22:54, William Hughes <wpihug...@gmail.com> wrote:
> Previous was too complicated

Then I will skip it.
>
> Can a potentially infinite list
> of potentially infinite 0/1
> sequences have the property that
>
>    if s it a potentially infinite 0/1
>    sequence, then s is a line of L


You have to distinguish between every and all (in the usual sense)
because a potentiall infinite list is not complete.
Compare the potentially infinite set (or better say sequence) of
natural numbers as the common example.

There is not a sequence of all natural numbers (because that would
represent an actually infinite set).
There is nothing but finite initial segments (1, ..., n). However
there is no upper threshold m limiting n to n < m.

This potentially infinite sequence has the properties:
1) For every finite initial segment (1, ..., n) of the sequence we can
find another n+1 (or 2n or 2^n or n^n) that is not in the initial
segment.
2) For every n there is a finite initial segment containing n as well
as (or 2n or 2^n or n^n).
3) There is no meaningful expression starting or ending or containg
"for all finite initial segments of the sequence" or "for the whole
sequence" but only "for every finite initial segment of the sequence"
or "for every term of the sequence".

Regards, WM


Date Subject Author
1/29/13
Read Matheology § 203
mueckenh@rz.fh-augsburg.de
1/29/13
Read Re: Matheology § 203
William Hughes
1/29/13
Read Re: Matheology § 203
mueckenh@rz.fh-augsburg.de
1/29/13
Read Re: Matheology § 203
William Hughes
1/29/13
Read Re: Matheology § 203
mueckenh@rz.fh-augsburg.de
1/29/13
Read Re: Matheology § 203
William Hughes
1/29/13
Read Re: Matheology § 203
mueckenh@rz.fh-augsburg.de
1/29/13
Read Re: Matheology § 203
William Hughes
1/29/13
Read Re: Matheology § 203
mueckenh@rz.fh-augsburg.de
1/29/13
Read Re: Matheology § 203
William Hughes
1/29/13
Read Re: Matheology § 203
mueckenh@rz.fh-augsburg.de
1/29/13
Read Re: Matheology § 203
William Hughes
1/29/13
Read Re: Matheology § 203
mueckenh@rz.fh-augsburg.de
1/29/13
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William Hughes
1/29/13
Read Re: Matheology § 203
mueckenh@rz.fh-augsburg.de
1/29/13
Read Re: Matheology § 203
William Hughes
1/30/13
Read Re: Matheology § 203
mueckenh@rz.fh-augsburg.de
1/30/13
Read Re: Matheology § 203
William Hughes
1/30/13
Read Re: Matheology § 203
mueckenh@rz.fh-augsburg.de
1/30/13
Read Re: Matheology § 203
William Hughes
1/30/13
Read Re: Matheology § 203
mueckenh@rz.fh-augsburg.de
1/30/13
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William Hughes
1/30/13
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mueckenh@rz.fh-augsburg.de
1/30/13
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William Hughes
1/30/13
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mueckenh@rz.fh-augsburg.de
1/30/13
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William Hughes
1/30/13
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mueckenh@rz.fh-augsburg.de
1/30/13
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William Hughes
1/30/13
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mueckenh@rz.fh-augsburg.de
1/30/13
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William Hughes
1/30/13
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mueckenh@rz.fh-augsburg.de
1/30/13
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William Hughes
1/31/13
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mueckenh@rz.fh-augsburg.de
1/31/13
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William Hughes
1/31/13
Read Re: Matheology § 203
mueckenh@rz.fh-augsburg.de
1/31/13
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William Hughes
1/31/13
Read Re: Matheology § 203
mueckenh@rz.fh-augsburg.de
1/31/13
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William Hughes
1/31/13
Read Re: Matheology § 203
mueckenh@rz.fh-augsburg.de
1/31/13
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William Hughes
1/31/13
Read Re: Matheology § 203
mueckenh@rz.fh-augsburg.de
1/31/13
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William Hughes
2/1/13
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mueckenh@rz.fh-augsburg.de
2/1/13
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William Hughes
2/1/13
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mueckenh@rz.fh-augsburg.de
2/1/13
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William Hughes
2/1/13
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mueckenh@rz.fh-augsburg.de
2/1/13
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William Hughes
2/1/13
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mueckenh@rz.fh-augsburg.de
2/1/13
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William Hughes
2/1/13
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mueckenh@rz.fh-augsburg.de
2/1/13
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William Hughes
2/1/13
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mueckenh@rz.fh-augsburg.de
2/1/13
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William Hughes
2/1/13
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William Hughes
2/1/13
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Virgil
2/2/13
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mueckenh@rz.fh-augsburg.de
2/2/13
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William Hughes
2/2/13
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mueckenh@rz.fh-augsburg.de
2/2/13
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William Hughes
2/2/13
Read Re: WMytheology � 203
Virgil
2/2/13
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fom
2/2/13
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mueckenh@rz.fh-augsburg.de
2/2/13
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William Hughes
2/2/13
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mueckenh@rz.fh-augsburg.de
2/2/13
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William Hughes
2/2/13
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William Hughes
2/3/13
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mueckenh@rz.fh-augsburg.de
2/3/13
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William Hughes
2/3/13
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mueckenh@rz.fh-augsburg.de
2/3/13
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Virgil
2/3/13
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William Hughes
2/3/13
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mueckenh@rz.fh-augsburg.de
2/3/13
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fom
2/4/13
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mueckenh@rz.fh-augsburg.de
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fom
2/5/13
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mueckenh@rz.fh-augsburg.de
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fom
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mueckenh@rz.fh-augsburg.de
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Virgil
2/5/13
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Virgil
2/4/13
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Virgil
2/4/13
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fom
2/4/13
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Virgil
2/5/13
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fom
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mueckenh@rz.fh-augsburg.de
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fom
2/5/13
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mueckenh@rz.fh-augsburg.de
2/10/13
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fom
2/3/13
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William Hughes
2/4/13
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mueckenh@rz.fh-augsburg.de
2/4/13
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William Hughes
2/4/13
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mueckenh@rz.fh-augsburg.de
2/4/13
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William Hughes
2/4/13
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mueckenh@rz.fh-augsburg.de
2/4/13
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William Hughes
2/4/13
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mueckenh@rz.fh-augsburg.de
2/4/13
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William Hughes
2/4/13
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mueckenh@rz.fh-augsburg.de
2/4/13
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William Hughes
2/5/13
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mueckenh@rz.fh-augsburg.de
2/5/13
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William Hughes
2/5/13
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mueckenh@rz.fh-augsburg.de
2/5/13
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Virgil
2/5/13
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gus gassmann
2/5/13
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William Hughes
2/5/13
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mueckenh@rz.fh-augsburg.de
2/5/13
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Virgil
2/5/13
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fom
2/5/13
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William Hughes
2/5/13
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Virgil
2/4/13
Read Re: WMytheology � 203
Virgil
2/4/13
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Virgil
2/4/13
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fom
2/4/13
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Virgil
2/4/13
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fom
2/5/13
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fom
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Virgil
2/5/13
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fom
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Virgil
2/4/13
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Virgil
2/4/13
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Virgil
2/5/13
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mueckenh@rz.fh-augsburg.de
2/5/13
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Virgil
2/3/13
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Virgil
2/3/13
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fom
2/4/13
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William Hughes
2/4/13
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mueckenh@rz.fh-augsburg.de
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Virgil
2/4/13
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Virgil
2/3/13
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Ralf Bader
2/4/13
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fom
2/4/13
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Virgil
2/5/13
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2/6/13
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2/6/13
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Virgil
2/6/13
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2/6/13
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2/6/13
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fom
2/6/13
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fom
2/4/13
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mueckenh@rz.fh-augsburg.de
2/4/13
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Virgil
2/3/13
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Virgil
2/2/13
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Virgil
2/2/13
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mueckenh@rz.fh-augsburg.de
2/1/13
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Virgil
2/1/13
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Virgil
2/1/13
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William Hughes
2/1/13
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mueckenh@rz.fh-augsburg.de
2/1/13
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Virgil
2/2/13
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fom
2/2/13
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mueckenh@rz.fh-augsburg.de
2/2/13
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fom
2/2/13
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mueckenh@rz.fh-augsburg.de
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Virgil
2/2/13
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fom
2/2/13
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Virgil
2/2/13
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mueckenh@rz.fh-augsburg.de
2/1/13
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Virgil
2/1/13
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Virgil
2/1/13
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Virgil
2/1/13
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1/31/13
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Virgil
1/31/13
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1/31/13
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Virgil
1/31/13
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1/31/13
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1/30/13
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Virgil
1/30/13
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Virgil
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Virgil
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Virgil
1/30/13
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Virgil
1/30/13
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Virgil
1/30/13
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Virgil
1/30/13
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mueckenh@rz.fh-augsburg.de
1/30/13
Read Re: Matheology � 203
Virgil
1/30/13
Read Re: WMytheology � 203
Virgil
1/29/13
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Virgil
1/29/13
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Virgil
1/29/13
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Virgil
1/29/13
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Virgil
1/29/13
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Virgil
1/29/13
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Virgil
1/29/13
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Virgil
2/4/13
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JT
1/29/13
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Scott Berg
1/29/13
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mueckenh@rz.fh-augsburg.de
1/29/13
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fom
1/29/13
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mueckenh@rz.fh-augsburg.de
1/29/13
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Virgil
1/30/13
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fom
1/30/13
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mueckenh@rz.fh-augsburg.de
1/30/13
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fom
1/30/13
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mueckenh@rz.fh-augsburg.de
1/30/13
Read Re: Matheology � 203
Virgil
1/31/13
Read Re: Matheology § 203
fom
1/30/13
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fom
1/30/13
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Virgil
1/31/13
Read Re: Matheology § 203
fom
1/29/13
Read Re: Matheology § 203
fom
1/29/13
Read Re: Matheology � 203
Virgil

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