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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: 2,713
Registered: 2/15/09
Re: Another AC anomaly?
Posted: Nov 30, 2009 12:29 AM
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On Nov 29, 9:21 pm, Virgil <Vir...@home.esc> wrote:
> In article
> <92659bb1-504c-4c08-8b4e-8aac4fe40...@a39g2000pre.googlegroups.com>,
>  "Ross A. Finlayson" <ross.finlay...@gmail.com> wrote:
>
>
>

> > On Nov 28, 8:38 pm, Virgil <Vir...@home.esc> wrote:
> > > In article
> > > <e70292e5-e110-48dc-afda-8ff08c448...@g1g2000pra.googlegroups.com>,
> > >  "Ross A. Finlayson" <ross.finlay...@gmail.com> wrote:

>
> > > > On Nov 28, 12:43 pm, Virgil <Vir...@home.esc> wrote:
> > > > > In article
> > > > > <f4e15df0-a3c0-48e4-959f-e341a9adf...@j4g2000yqe.googlegroups.com>,

>
> > > > >  WM <mueck...@rz.fh-augsburg.de> wrote:
> > > > > > On 27 Nov., 22:42, William Hughes <wpihug...@hotmail.com> wrote:
> > > > > > > On Nov 27, 5:24 pm, WM <mueck...@rz.fh-augsburg.de> wrote:
>
> > > > > > > > On 27 Nov., 21:17, William Hughes <wpihug...@hotmail.com> wrote:
>
> > > > > > > > > On Nov 27, 3:33 pm, WM <mueck...@rz.fh-augsburg.de> wrote:
>
> > > > > > > > > > With only potential, i.e., not finished infinity, i.e.,
> > > > > > > > > > reasonable
> > > > > > > > > > infinity,  the diagonal number (exchanging 0 by 1) of the
> > > > > > > > > > following
> > > > > > > > > > list can be found in the list as an entry:

>
> > > > > > > > > > 0.0
> > > > > > > > > > 0.1
> > > > > > > > > > 0.11
> > > > > > > > > > 0.111
> > > > > > > > > > ...

>
> > > > > > > > > Only in Wolkenmuekenheim where the argument goes
>
> > > > > > > > >      Every entry in the list has a fixed last 1
> > > > > > > > >      The diagonal number does not have a fixed last 1

>
> > > > > > > > There is not a fixed last entry
>
> > > > > > > So,  every entry in the list has a fixed last 1.
> > > > > > > (We don't need a fixed last entry to say this)
> > > > > > > We still have

>
> > > > > > >   Every entry in the list has a fixed last 1
> > > > > > >   The diagonal number does not have a fixed last 1

>
> > > > > > > > Every diagonal number is in the list.
>
> > > > > > > Only in Wolkenmuekenheim.  Outside of Wolkenmuekenheim
> > > > > > > there is only one diagonal number

>
> > > > > > How do you know, unless you have seen the last?
>
> > > > > > Regards, WM
>
> > > > > 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.

>
> > > > (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.

>
> > > > For example, the list contains .1 then all zeros, the anti-diagonal
> > > > is .0111... = .100..., anti-diagonal is on the list.

>
> > > But, in the Cantor argument, the lists in question are not of functions
> > > from N to range {0,1} but of functions from N to range {m,w} with no
> > > assumption that such a function corresponds to any sort of number.

>
> > It was simply an example that a list of real numbers contains its anti-
> > diagonal because of dual representation of some standard Eudoxus/
> > Dedekind/Cauchy fixed radix expansion expressions of a real number.

>
> Even when one assumes the Cantor diagonalization is to be applied to
> ists of binary numerals instead lists of of arbitrary binary sequences,
> there are well known ways of avoiding the dual representation problem.
>
> Which Ross has seem often enough s that he should be familiar with them,
> unless his memory is faulty.
>
>
>

> > > So Ross is, as usual, in over his head.
>
> > No.  Why are you trying to bait and switch instead of simply
> > acknowledging that particular lambast was mistaken?

>
> As I am referring to the original Cantor argument rather than any of the
> later modifications of it as Ross is doing, it is Ross who is doing a
> bait and switch.


Quote:

> > > 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.


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
Read Re: Another AC anomaly?
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
Read Re: Another AC anomaly?
William Hughes
11/30/09
Read Re: Another AC anomaly?
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
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?
William Hughes
11/27/09
Read Re: Another AC anomaly?
mueckenh@rz.fh-augsburg.de
11/27/09
Read Re: Another AC anomaly?
Alan Smaill
11/27/09
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?
Dik T. Winter
11/27/09
Read Re: Another AC anomaly?
mueckenh@rz.fh-augsburg.de
11/30/09
Read Re: Another AC anomaly?
Dik T. Winter
11/30/09
Read Re: Another AC anomaly?
mueckenh@rz.fh-augsburg.de
11/30/09
Read Re: Another AC anomaly?
Virgil
12/1/09
Read Re: Another AC anomaly?
Dik T. Winter
12/1/09
Read Re: Another AC anomaly?
mueckenh@rz.fh-augsburg.de
12/1/09
Read Re: Another AC anomaly?
Dik T. Winter
12/1/09
Read Re: Another AC anomaly?
mueckenh@rz.fh-augsburg.de
12/1/09
Read Re: Another AC anomaly?
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12/1/09
Read Re: Another AC anomaly?
Virgil
12/1/09
Read Re: Another AC anomaly?
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
Read Re: Another AC anomaly?
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12/2/09
Read Re: Another AC anomaly?
mueckenh@rz.fh-augsburg.de
12/2/09
Read Re: Another AC anomaly?
Dik T. Winter
12/2/09
Read Re: Another AC anomaly?
mueckenh@rz.fh-augsburg.de
12/2/09
Read Re: Another AC anomaly?
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12/3/09
Read Re: Another AC anomaly?
Dik T. Winter
12/3/09
Read Re: Another AC anomaly?
mueckenh@rz.fh-augsburg.de
12/3/09
Read Re: Another AC anomaly?
Dik T. Winter
12/3/09
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K_h
12/7/09
Read Re: Another AC anomaly?
Dik T. Winter
12/7/09
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12/8/09
Read Re: Another AC anomaly?
K_h
12/8/09
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12/9/09
Read Re: Another AC anomaly?
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12/9/09
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12/9/09
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mueckenh@rz.fh-augsburg.de
12/9/09
Read Re: Another AC anomaly?
Virgil
12/9/09
Read Re: Another AC anomaly?
K_h
12/10/09
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12/9/09
Read Re: Another AC anomaly?
K_h
12/9/09
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Virgil
12/10/09
Read Re: Another AC anomaly?
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12/10/09
Read Re: Another AC anomaly?
mueckenh@rz.fh-augsburg.de
12/10/09
Read Re: Another AC anomaly?
Virgil
12/10/09
Read Re: Another AC anomaly?
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12/11/09
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mueckenh@rz.fh-augsburg.de
12/11/09
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12/15/09
Read Re: Another AC anomaly?
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12/15/09
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mueckenh@rz.fh-augsburg.de
12/15/09
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12/15/09
Read Re: Another AC anomaly?
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12/16/09
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12/16/09
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12/17/09
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12/17/09
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mueckenh@rz.fh-augsburg.de
12/17/09
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12/17/09
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mueckenh@rz.fh-augsburg.de
12/17/09
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12/17/09
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12/17/09
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12/18/09
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12/18/09
Read Re: Another AC anomaly?
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12/18/09
Read Re: Another AC anomaly?
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12/19/09
Read Re: Another AC anomaly?
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12/19/09
Read Re: Another AC anomaly?
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12/22/09
Read Re: Another AC anomaly?
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12/22/09
Read Re: Another AC anomaly?
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12/18/09
Read Re: Another AC anomaly?
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12/19/09
Read Re: Another AC anomaly?
mueckenh@rz.fh-augsburg.de
12/19/09
Read Re: Another AC anomaly?
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12/21/09
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12/21/09
Read Re: Another AC anomaly?
mueckenh@rz.fh-augsburg.de
12/21/09
Read Re: Another AC anomaly?
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12/21/09
Read Re: Another AC anomaly?
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12/22/09
Read Re: Another AC anomaly?
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12/27/09
Read Re: Another AC anomaly?
mueckenh@rz.fh-augsburg.de
12/27/09
Read Re: Another AC anomaly?
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12/16/09
Read Re: Another AC anomaly?
mueckenh@rz.fh-augsburg.de
12/16/09
Read Re: Another AC anomaly?
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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
Read Re: Another AC anomaly?
K_h
12/11/09
Read Re: Another AC anomaly?
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12/12/09
Read Re: Another AC anomaly?
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12/12/09
Read Re: Another AC anomaly?
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12/12/09
Read Re: Another AC anomaly?
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12/11/09
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mueckenh@rz.fh-augsburg.de
12/11/09
Read Re: Another AC anomaly?
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12/10/09
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mueckenh@rz.fh-augsburg.de
12/10/09
Read Re: Another AC anomaly?
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12/10/09
Read Re: Another AC anomaly?
mueckenh@rz.fh-augsburg.de
12/10/09
Read Re: Another AC anomaly?
Virgil
12/10/09
Read Re: Another AC anomaly?
Dik T. Winter
12/10/09
Read Re: Another AC anomaly?
Dik T. Winter
12/11/09
Read Re: Another AC anomaly?
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12/11/09
Read Re: Another AC anomaly?
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12/7/09
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mueckenh@rz.fh-augsburg.de
12/7/09
Read Re: Another AC anomaly?
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12/8/09
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Dik T. Winter
12/8/09
Read Re: Another AC anomaly?
mueckenh@rz.fh-augsburg.de
12/8/09
Read Re: Another AC anomaly?
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12/8/09
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12/8/09
Read Re: Another AC anomaly?
mueckenh@rz.fh-augsburg.de
12/8/09
Read Re: Another AC anomaly?
Virgil
12/10/09
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12/3/09
Read Re: Another AC anomaly?
Virgil
12/3/09
Read Re: Another AC anomaly?
mueckenh@rz.fh-augsburg.de
12/3/09
Read Re: Another AC anomaly?
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12/7/09
Read Re: Another AC anomaly?
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12/7/09
Read Re: Another AC anomaly?
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12/7/09
Read Re: Another AC anomaly?
mueckenh@rz.fh-augsburg.de
12/7/09
Read Re: Another AC anomaly?
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12/8/09
Read Re: Another AC anomaly?
Dik T. Winter
12/8/09
Read Re: Another AC anomaly?
mueckenh@rz.fh-augsburg.de
12/8/09
Read Re: Another AC anomaly?
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12/10/09
Read Re: Another AC anomaly?
Dik T. Winter
12/10/09
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mueckenh@rz.fh-augsburg.de
12/10/09
Read Re: Another AC anomaly?
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12/10/09
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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
Read Re: Another AC anomaly?
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12/15/09
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12/16/09
Read Re: Another AC anomaly?
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12/16/09
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12/16/09
Read Re: Another AC anomaly?
mueckenh@rz.fh-augsburg.de
12/17/09
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12/17/09
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12/4/09
Read Re: Another AC anomaly?
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12/4/09
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12/4/09
Read Re: Another AC anomaly?
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12/7/09
Read Re: Another AC anomaly?
Dik T. Winter
12/7/09
Read Re: Another AC anomaly?
mueckenh@rz.fh-augsburg.de
12/7/09
Read Re: Another AC anomaly?
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12/8/09
Read Re: Another AC anomaly?
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12/8/09
Read Re: Another AC anomaly?
mueckenh@rz.fh-augsburg.de
12/8/09
Read Re: Another AC anomaly?
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12/10/09
Read Re: Another AC anomaly?
Dik T. Winter
12/10/09
Read Re: Another AC anomaly?
mueckenh@rz.fh-augsburg.de
12/10/09
Read Re: Another AC anomaly?
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12/10/09
Read Re: Another AC anomaly?
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12/11/09
Read Re: Another AC anomaly?
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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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12/11/09
Read Re: Another AC anomaly?
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12/12/09
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12/12/09
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Read Re: Another AC anomaly?
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12/19/09
Read Re: Another AC anomaly?
mueckenh@rz.fh-augsburg.de
12/19/09
Read Re: Another AC anomaly?
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12/19/09
Read Re: Another AC anomaly?
mueckenh@rz.fh-augsburg.de
12/19/09
Read Re: Another AC anomaly?
Marshall
12/19/09
Read Re: Another AC anomaly?
Virgil
12/19/09
Read Re: Another AC anomaly?
Virgil
12/19/09
Read Re: Another AC anomaly?
ross.finlayson@gmail.com
12/19/09
Read Re: Another AC anomaly?
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12/22/09
Read Re: Another AC anomaly?
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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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12/13/09
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12/4/09
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12/4/09
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12/4/09
Read Re: Another AC anomaly?
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12/4/09
Read Re: Another AC anomaly?
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12/4/09
Read Re: Another AC anomaly?
Virgil
12/5/09
Read Re: Another AC anomaly?
mueckenh@rz.fh-augsburg.de
12/5/09
Read Re: Another AC anomaly?
Virgil
12/5/09
Read Re: Another AC anomaly?
mueckenh@rz.fh-augsburg.de
12/6/09
Read Re: Another AC anomaly?
Virgil
12/5/09
Read Re: Another AC anomaly?
Carsten Schultz
12/2/09
Read Re: Another AC anomaly?
Virgil
12/1/09
Read Re: Another AC anomaly?
george
12/1/09
Read Re: Another AC anomaly?
Virgil
11/27/09
Read Re: Another AC anomaly?
Virgil
11/27/09
Read Re: Another AC anomaly?
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
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?
William Hughes
11/27/09
Read Re: Another AC anomaly?
anonymous.rubbertube@yahoo.com
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?
mueckenh@rz.fh-augsburg.de
11/27/09
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?
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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