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Topic: Another AC anomaly?
Replies: 280   Last Post: Dec 27, 2009 3:53 PM

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ross.finlayson@gmail.com

Posts: 2,715
Registered: 2/15/09
Re: Another AC anomaly?
Posted: Nov 30, 2009 12:29 AM
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On Nov 29, 6:54 pm, Marshall <marshall.spi...@gmail.com> wrote:
> On Nov 29, 5:32 pm, "Ross A. Finlayson" <ross.finlay...@gmail.com>
> wrote:
>
>
>

> > On Nov 28, 8:38 pm, Virgil <Vir...@home.esc> wrote:
> > >  "Ross A. Finlayson" <ross.finlay...@gmail.com> wrote:
> > > > On Nov 28, 12:43 pm, Virgil <Vir...@home.esc> wrote:
>
> > > > > Given a specific list of endless binary sequences, the so called Cantor
> > > > > diagonal is the result of a specific and unambiguous algorithm applied
> > > > > to that list, so it is, for any given list, unique, and not a member of
> > > > > the list from which it is constructed.

>
> > > > > Which WM would have known if he had any sense.
>
> > > > Binary sequences aren't unique representations of real numbers.
>
> > > The original Cantor diagonal argument did not deal with real numbers
> > > either, so what is your point?

>
> > The point was that your hasty overgeneralization was false and that it
> > represents in your non-acknowledgment hypocritical criticism.

>
> You haven't identified any mistake of Virgil's. You've merely made
> the well-worn point that some real numbers have multiple digit
> strings.
>

> > > > (Binary and ternary (trinary) anti-diagonal cases require refinement.)
>
> > > But as neither I nor Cantor were not dealing with numbers in any base,
> > > your objections are, as usual, irrelevant.

>
> > No, it was just noted a specific constructive counterexample to that
> > lists of (expansions representing) real numbers don't contain their
> > antidiagonals.

>
> It wasn't even that.
>
> Marshall


In binary or ternary an everywhere-non-diagonal isn't not on the list.

Using AC, in ZFC, given a well-ordering of the reals, I described a
symmetry based construction of a distribution of the natural integers
at uniform random.

EF is its CDF.

Yeah and I am familiar with the other fundamental results of
transfinite cardinals and show how they don't hold in nonstandard
frameworks suitable to represent the number system for application.

Ross F.


Date Subject Author
11/23/09
Read Re: Another AC anomaly?
Jesse F. Hughes
11/23/09
Read Re: Another AC anomaly?
Herman Jurjus
11/23/09
Read Re: Another AC anomaly?
master1729
11/25/09
Read Re: Another AC anomaly?
T.H. Ray
11/24/09
Read Re: Another AC anomaly?
george
12/1/09
Read Re: Another AC anomaly?
george
11/25/09
Read Re: Another AC anomaly?
Bill Taylor
11/26/09
Read Re: Another AC anomaly?
Daryl McCullough
11/30/09
Read What's wrong with supertasks? (was Re: Another AC anomaly?)
Herman Jurjus
12/1/09
Read Jesse Hughes of Bentley College uses signature block to defame
others; Ann Reeves Re: What's wrong with supertasks?
plutonium.archimedes@gmail.com
12/1/09
Read Re: Jesse Hughes of Bentley College uses signature block to defame
others; Ann Reeves Re: What's wrong with supertasks?
Marshall
12/1/09
Read using signature-blocks to defame innocent people Re: Jesse Hughes of
Bentley College
plutonium.archimedes@gmail.com
12/1/09
Read Re: Jesse Hughes of Bentley College uses signature block to defame
others; Ann Reeves Re: What's wrong with supertasks?
Seth Breidbart
12/1/09
Read Re: using signature-blocks to defame innocent people Re: Jesse Hughes
of Bentley College
Marshall
12/2/09
Read Re: using signature-blocks to defame innocent people Re: Jesse Hughes
of Bentley College
Marshall
11/27/09
Read Re: Another AC anomaly?
William Hughes
11/27/09
Read Re: Another AC anomaly?
William Hughes
11/26/09
Read Re: Another AC anomaly?
mueckenh@rz.fh-augsburg.de
11/28/09
Read Re: Another AC anomaly?
mueckenh@rz.fh-augsburg.de
11/28/09
Read Re: Another AC anomaly?
Virgil
11/26/09
Read Re: Another AC anomaly?
William Hughes
11/28/09
Read Re: Another AC anomaly?
William Hughes
11/26/09
Read Re: Another AC anomaly?
mueckenh@rz.fh-augsburg.de
11/28/09
Read Re: Another AC anomaly?
ross.finlayson@gmail.com
11/28/09
Read Re: Another AC anomaly?
Virgil
11/29/09
Read Re: Another AC anomaly?
mueckenh@rz.fh-augsburg.de
11/29/09
Read Re: Another AC anomaly?
Virgil
11/29/09
Read Re: Another AC anomaly?
ross.finlayson@gmail.com
11/29/09
Read Re: Another AC anomaly?
Marshall
11/30/09
Read Re: Another AC anomaly?
Virgil
11/30/09
Read Re: Another AC anomaly?
ross.finlayson@gmail.com
11/30/09
Read Re: Another AC anomaly?
ross.finlayson@gmail.com
11/30/09
Read Re: Another AC anomaly?
Virgil
11/30/09
Read Re: Another AC anomaly?
ross.finlayson@gmail.com
11/30/09
Read Re: Another AC anomaly?
Virgil
11/30/09
Read Re: Another AC anomaly?
ross.finlayson@gmail.com
11/30/09
Read Re: Another AC anomaly?
Virgil
11/29/09
Read Re: Another AC anomaly?
mueckenh@rz.fh-augsburg.de
11/26/09
Read Re: Another AC anomaly?
LauLuna
11/26/09
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William Hughes
11/26/09
Read Re: Another AC anomaly?
anonymous.rubbertube@yahoo.com
11/29/09
Read Re: Another AC anomaly?
William Hughes
11/27/09
Read Re: Another AC anomaly?
mueckenh@rz.fh-augsburg.de
11/27/09
Read Re: Another AC anomaly?
mueckenh@rz.fh-augsburg.de
11/27/09
Read Re: Another AC anomaly?
Virgil
11/27/09
Read Re: Another AC anomaly?
Alan Smaill
11/29/09
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William Hughes
11/30/09
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mueckenh@rz.fh-augsburg.de
11/30/09
Read Re: Another AC anomaly?
Virgil
11/27/09
Read Re: Another AC anomaly?
mueckenh@rz.fh-augsburg.de
11/27/09
Read Re: Another AC anomaly?
Virgil
11/27/09
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mueckenh@rz.fh-augsburg.de
11/27/09
Read Re: Another AC anomaly?
Virgil
11/27/09
Read Re: Another AC anomaly?
William Hughes
11/27/09
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mueckenh@rz.fh-augsburg.de
11/27/09
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11/27/09
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Virgil
11/27/09
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mueckenh@rz.fh-augsburg.de
11/27/09
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Dik T. Winter
11/27/09
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mueckenh@rz.fh-augsburg.de
11/30/09
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Dik T. Winter
11/30/09
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mueckenh@rz.fh-augsburg.de
11/30/09
Read Re: Another AC anomaly?
Virgil
12/1/09
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Dik T. Winter
12/1/09
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mueckenh@rz.fh-augsburg.de
12/1/09
Read Re: Another AC anomaly?
Dik T. Winter
12/1/09
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mueckenh@rz.fh-augsburg.de
12/1/09
Read Re: Another AC anomaly?
William Hughes
12/1/09
Read Re: Another AC anomaly?
Virgil
12/1/09
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mueckenh@rz.fh-augsburg.de
12/1/09
Read Re: Another AC anomaly?
Virgil
12/1/09
Read Re: Another AC anomaly?
ross.finlayson@gmail.com
12/1/09
Read Re: Another AC anomaly?
Virgil
12/1/09
Read Re: Another AC anomaly?
ross.finlayson@gmail.com
12/1/09
Read Re: Another AC anomaly?
Virgil
12/2/09
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Dik T. Winter
12/2/09
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mueckenh@rz.fh-augsburg.de
12/2/09
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12/2/09
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mueckenh@rz.fh-augsburg.de
12/2/09
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12/3/09
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12/3/09
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mueckenh@rz.fh-augsburg.de
12/3/09
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12/3/09
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12/8/09
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12/9/09
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12/10/09
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12/10/09
Read Re: Another AC anomaly?
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12/11/09
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12/15/09
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12/15/09
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12/15/09
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12/16/09
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12/17/09
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12/18/09
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12/19/09
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12/19/09
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12/22/09
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12/22/09
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12/21/09
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12/21/09
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12/21/09
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12/21/09
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12/22/09
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12/27/09
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12/16/09
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12/11/09
Read Re: Another AC anomaly?
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12/11/09
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12/11/09
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12/11/09
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12/12/09
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12/12/09
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12/12/09
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12/11/09
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12/10/09
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12/10/09
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12/10/09
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12/10/09
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12/10/09
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12/7/09
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12/8/09
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12/8/09
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12/8/09
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12/3/09
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12/3/09
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12/3/09
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12/7/09
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12/8/09
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12/8/09
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12/8/09
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12/10/09
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12/10/09
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12/10/09
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12/10/09
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12/11/09
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12/11/09
Read Re: Another AC anomaly?
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12/11/09
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12/15/09
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12/16/09
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12/16/09
Read Re: Another AC anomaly?
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12/16/09
Read Re: Another AC anomaly?
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12/17/09
Read Re: Another AC anomaly?
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12/17/09
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12/4/09
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12/4/09
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12/4/09
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12/7/09
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12/7/09
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mueckenh@rz.fh-augsburg.de
12/7/09
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12/8/09
Read Re: Another AC anomaly?
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12/8/09
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12/8/09
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12/10/09
Read Re: Another AC anomaly?
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12/10/09
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12/10/09
Read Re: Another AC anomaly?
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12/11/09
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12/11/09
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12/11/09
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12/11/09
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12/11/09
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12/11/09
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12/12/09
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12/12/09
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12/12/09
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12/13/09
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12/19/09
Read Re: Another AC anomaly?
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12/19/09
Read Re: Another AC anomaly?
Virgil
12/19/09
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ross.finlayson@gmail.com
12/19/09
Read Re: Another AC anomaly?
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12/22/09
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12/27/09
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12/21/09
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12/22/09
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12/27/09
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12/27/09
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12/27/09
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12/27/09
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12/27/09
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12/27/09
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12/13/09
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12/4/09
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12/4/09
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12/4/09
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12/4/09
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mueckenh@rz.fh-augsburg.de
12/4/09
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12/5/09
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12/5/09
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12/5/09
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12/5/09
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12/2/09
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12/1/09
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12/1/09
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11/27/09
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Virgil
11/27/09
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anonymous.rubbertube@yahoo.com
11/30/09
Read Re: Another AC anomaly?
William Hughes
11/27/09
Read Re: Another AC anomaly?
William Hughes
11/27/09
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mueckenh@rz.fh-augsburg.de
11/27/09
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mueckenh@rz.fh-augsburg.de
11/27/09
Read Re: Another AC anomaly?
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11/27/09
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anonymous.rubbertube@yahoo.com
11/27/09
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mueckenh@rz.fh-augsburg.de
11/27/09
Read Re: Another AC anomaly?
Virgil
11/27/09
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mueckenh@rz.fh-augsburg.de
11/27/09
Read Re: Another AC anomaly?
Virgil
11/27/09
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mueckenh@rz.fh-augsburg.de
11/27/09
Read Re: Another AC anomaly?
William Hughes
11/27/09
Read Re: Another AC anomaly?
mueckenh@rz.fh-augsburg.de
11/27/09
Read Re: Another AC anomaly?
Virgil

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