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

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Virgil

Posts: 870
Registered: 7/27/09
Re: Another AC anomaly?
Posted: Nov 30, 2009 12:21 AM
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In article
<92659bb1-504c-4c08-8b4e-8aac4fe40619@a39g2000pre.googlegroups.com>,
"Ross A. Finlayson" <ross.finlayson@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.


Date Subject Author
11/23/09
Read Re: Another AC anomaly?
Jesse F. Hughes
11/23/09
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11/23/09
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11/25/09
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11/24/09
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12/1/09
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11/25/09
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11/26/09
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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?
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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?
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11/27/09
Read Re: Another AC anomaly?
mueckenh@rz.fh-augsburg.de
11/27/09
Read Re: Another AC anomaly?
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11/27/09
Read Re: Another AC anomaly?
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11/27/09
Read Re: Another AC anomaly?
mueckenh@rz.fh-augsburg.de
11/27/09
Read Re: Another AC anomaly?
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11/27/09
Read Re: Another AC anomaly?
mueckenh@rz.fh-augsburg.de
11/30/09
Read Re: Another AC anomaly?
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11/30/09
Read Re: Another AC anomaly?
mueckenh@rz.fh-augsburg.de
11/30/09
Read Re: Another AC anomaly?
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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
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12/1/09
Read Re: Another AC anomaly?
mueckenh@rz.fh-augsburg.de
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Read Re: Another AC anomaly?
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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
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Read Re: Another AC anomaly?
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mueckenh@rz.fh-augsburg.de
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Read Re: Another AC anomaly?
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12/2/09
Read Re: Another AC anomaly?
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12/3/09
Read Re: Another AC anomaly?
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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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12/3/09
Read Re: Another AC anomaly?
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12/7/09
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12/8/09
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12/9/09
Read Re: Another AC anomaly?
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Read Re: Another AC anomaly?
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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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12/15/09
Read Re: Another AC anomaly?
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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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Read Re: Another AC anomaly?
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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?
Virgil
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
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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12/8/09
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?
Virgil
12/10/09
Read Re: Another AC anomaly?
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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
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Dik T. Winter
12/7/09
Read Re: Another AC anomaly?
Virgil
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
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?
Dik T. Winter
12/11/09
Read Re: Another AC anomaly?
mueckenh@rz.fh-augsburg.de
12/11/09
Read Re: Another AC anomaly?
Virgil
12/11/09
Read Re: Another AC anomaly?
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12/15/09
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12/16/09
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mueckenh@rz.fh-augsburg.de
12/16/09
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Dik T. Winter
12/16/09
Read Re: Another AC anomaly?
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12/17/09
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12/17/09
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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?
Marshall
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?
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12/10/09
Read Re: Another AC anomaly?
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12/10/09
Read Re: Another AC anomaly?
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12/10/09
Read Re: Another AC anomaly?
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12/11/09
Read Re: Another AC anomaly?
mueckenh@rz.fh-augsburg.de
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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12/11/09
Read Re: Another AC anomaly?
Virgil
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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12/12/09
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12/13/09
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12/17/09
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Read Re: Another AC anomaly?
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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
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12/19/09
Read Re: Another AC anomaly?
Virgil
12/19/09
Read Re: Another AC anomaly?
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12/19/09
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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
Read Re: Another AC anomaly?
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Read Re: Another AC anomaly?
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12/27/09
Read Re: Another AC anomaly?
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12/27/09
Read Re: Another AC anomaly?
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12/13/09
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?
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12/4/09
Read Re: Another AC anomaly?
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12/4/09
Read Re: Another AC anomaly?
mueckenh@rz.fh-augsburg.de
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?
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12/5/09
Read Re: Another AC anomaly?
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Read Re: Another AC anomaly?
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12/5/09
Read Re: Another AC anomaly?
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12/2/09
Read Re: Another AC anomaly?
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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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