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Re: In the Binary Tree there ...

From Alan Smaill <smaill@SPAMinf.ed.ac.uk>
Newsgroups sci.math
Subject Re: In the Binary Tree there ...
Date 2018-07-20 16:04 +0100
Message-ID <fwefu0elzik.fsf@foxtrot.inf.ed.ac.uk> (permalink)
References (15 earlier) <43b818a6-b64d-4b84-af3f-1d62d7fa2929@googlegroups.com> <fwe601ccyyn.fsf@foxtrot.inf.ed.ac.uk> <0457319c-397c-4fd2-8a94-c9e5d407e323@googlegroups.com> <fwelga6nozt.fsf@foxtrot.inf.ed.ac.uk> <b032e454-1d69-47c8-aa22-fa2978a9dc5d@googlegroups.com>

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WM <wolfgang.mueckenheim@hs-augsburg.de> writes:

> Am Freitag, 20. Juli 2018 13:10:07 UTC+2 schrieb Alan Smaill:
>> WM <wolfgang.mueckenheim@hs-augsburg.de> writes:
>
>
>> >> > Further, yes I accept that the algorithm can supply every digit. But
>> >> > every digit belongs to a rational approximation. The complete digit
>> >> > sequence is not possible to give. Therefore I said that the algorithm
>> >> > or formule is the number.
>> >> 
>> >> You think I am saying something different??
>> >
>> > No, I have seen that you agree. But Cantor's list needs numbers
>> > defined by digits, for instance the diagonal. And of course every
>> > irrational you wish to use there an an entry.
>> 
>> On the basis of a finite definition only.
>
> Is the following example possible?: Row n contains 1/sqrt(n).

If you spell that out algorithically, yes.

>> >
>> > You mean that every entry is defined by a formula like in the list
>> >
>> > 0.1
>> > 0.11
>> > 0.111
>> > ...
>> > ?
>> > Then the list and also its diagonal belong to the countable set of
>> > finite definitions.
>> 
>> No, I do not know what else is in that diagram.
>
> "..." say: and so on.

Still ambiguous.

>> Can you give a formula D(x,y) where D(x,y) is either 0 or 1,
>> and indicates which digit appears as the yth digit of the xth line?
>
> After the decimal point: D(x, y) = 1 for y =< x, otherwise 0.

Right.

>> >> then you can use that to give a single algorithmic description
>> >> of the diagonal.
>> >
>> > and prove it is a member of the countable set of all finite definitions.
>> 
>> Come now, no proof needed to say that the set of definitions is countable.
> The set of finite strings is countable. Definitions are a subset.

I just said, "no proof needed".
Can you read??

>> Try proving that the antidiagonal differs from each entry in the
>> original diagram, in the same way that sqrt(2) =/= n/m, regardless of
>> what naturals n,m are.
>
> For my simple example the case is obvious. The antidagonal of
>
> 0.000...
> 0.1000...
> 0.11000...
> 0.111000...
> ...
>
> can be taken as 0.111...

OK.

> It is only then infinite,

It is potentially infinite, in exactly the same sense
that the original diagram is potentially infinite.

You have a finite definition, which you can work out from D above
in the general case.  Here AD(n) = 1,  and that corresponds to a potentially
infinite list with each digit 1.

> when the list has infinitely many lines and
> infinitely many columns. But then the number 0.111... must be in the
> list already, since otherwise infinitely many columns must contain
> entries ending with infinitely many zeros and the diagonal will not
> cover all columns.

First, the diagonal does not cover all columns, only each column
(in your terms).

Your subsequent comments make no sense. 
Your "otherwise" includes the initial situation, and the
diagonal does intersect each column.  0.111... is the antidiagonal.
and it likewise intersect each column (not all).

And that is enough to show that 0.111... is not in the list already --
it threatens to continue in infinity but not really requires it.

>
> Regards, WM

-- 
Alan Smaill

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In the Binary Tree there ... WM <wolfgang.mueckenheim@hs-augsburg.de> - 2018-06-22 07:36 -0700
  Re: In the Binary Tree there ... Dan Christensen <Dan_Christensen@sympatico.ca> - 2018-06-22 07:46 -0700
  Re: In the Binary Tree there ... bursejan@gmail.com - 2018-06-22 08:00 -0700
    Re: In the Binary Tree there ... bursejan@gmail.com - 2018-06-22 08:07 -0700
      Re: In the Binary Tree there ... bursejan@gmail.com - 2018-06-22 08:12 -0700
        Re: In the Binary Tree there ... bursejan@gmail.com - 2018-06-22 08:21 -0700
          Re: In the Binary Tree there ... "Ross A. Finlayson" <ross.finlayson@gmail.com> - 2018-06-22 08:33 -0700
  Re: In the Binary Tree there ... Dan Christensen <Dan_Christensen@sympatico.ca> - 2018-06-22 08:05 -0700
    Re: In the Binary Tree there ... WM <wolfgang.mueckenheim@hs-augsburg.de> - 2018-06-22 08:50 -0700
      Re: In the Binary Tree there ... Dan Christensen <Dan_Christensen@sympatico.ca> - 2018-06-22 09:26 -0700
        Re: In the Binary Tree there ... WM <wolfgang.mueckenheim@hs-augsburg.de> - 2018-06-22 09:36 -0700
          Re: In the Binary Tree there ... Dan Christensen <Dan_Christensen@sympatico.ca> - 2018-06-22 09:41 -0700
            Re: In the Binary Tree there ... WM <wolfgang.mueckenheim@hs-augsburg.de> - 2018-06-22 09:49 -0700
              Re: In the Binary Tree there ... "Ross A. Finlayson" <ross.finlayson@gmail.com> - 2018-06-22 10:16 -0700
              Re: In the Binary Tree there ... Dan Christensen <Dan_Christensen@sympatico.ca> - 2018-06-22 10:23 -0700
                Re: In the Binary Tree there ... WM <wolfgang.mueckenheim@hs-augsburg.de> - 2018-06-22 11:43 -0700
                Re: In the Binary Tree there ... Dan Christensen <Dan_Christensen@sympatico.ca> - 2018-06-22 12:07 -0700
                Re: In the Binary Tree there ... WM <wolfgang.mueckenheim@hs-augsburg.de> - 2018-06-23 03:11 -0700
                Re: In the Binary Tree there ... Dan Christensen <Dan_Christensen@sympatico.ca> - 2018-06-23 06:10 -0700
                Re: In the Binary Tree there ... bursejan@gmail.com - 2018-06-22 13:11 -0700
                Re: In the Binary Tree there ... "Ross A. Finlayson" <ross.finlayson@gmail.com> - 2018-06-22 13:19 -0700
                Re: In the Binary Tree there ... WM <wolfgang.mueckenheim@hs-augsburg.de> - 2018-06-23 03:11 -0700
                Re: In the Binary Tree there ... bursejan@gmail.com - 2018-06-23 04:55 -0700
                Re: In the Binary Tree there ... bursejan@gmail.com - 2018-06-23 05:01 -0700
                Re: In the Binary Tree there ... WM <wolfgang.mueckenheim@hs-augsburg.de> - 2018-06-23 06:40 -0700
                Re: In the Binary Tree there ... bursejan@gmail.com - 2018-06-23 07:10 -0700
                Re: In the Binary Tree there ... bursejan@gmail.com - 2018-06-23 07:13 -0700
          Re: In the Binary Tree there ... "Shobe, Martin" <martin.shobe@yahoo.com> - 2018-06-22 18:47 -0500
            Re: In the Binary Tree there ... WM <wolfgang.mueckenheim@hs-augsburg.de> - 2018-06-23 03:11 -0700
              Re: In the Binary Tree there ... "Shobe, Martin" <martin.shobe@yahoo.com> - 2018-06-23 07:32 -0500
                Re: In the Binary Tree there ... WM <wolfgang.mueckenheim@hs-augsburg.de> - 2018-06-23 06:19 -0700
                Re: In the Binary Tree there ... "Shobe, Martin" <martin.shobe@yahoo.com> - 2018-06-24 09:26 -0500
                Re: In the Binary Tree there ... WM <wolfgang.mueckenheim@hs-augsburg.de> - 2018-06-24 07:44 -0700
                Re: In the Binary Tree there ... bursejan@gmail.com - 2018-06-24 08:00 -0700
                Re: In the Binary Tree there ... bursejan@gmail.com - 2018-06-24 08:05 -0700
                Re: In the Binary Tree there ... WM <wolfgang.mueckenheim@hs-augsburg.de> - 2018-06-24 08:14 -0700
                Re: In the Binary Tree there ... bursejan@gmail.com - 2018-06-24 08:27 -0700
                Re: In the Binary Tree there ... bursejan@gmail.com - 2018-06-24 08:36 -0700
                Re: In the Binary Tree there ... bursejan@gmail.com - 2018-06-24 09:00 -0700
                Re: In the Binary Tree there ... "Shobe, Martin" <martin.shobe@yahoo.com> - 2018-06-25 20:46 -0500
                Re: In the Binary Tree there ... WM <wolfgang.mueckenheim@hs-augsburg.de> - 2018-06-26 04:10 -0700
                Re: In the Binary Tree there ... "Chris M. Thomasson" <invalid_chris_thomasson@invalid.invalid> - 2018-06-26 13:34 -0700
                Re: In the Binary Tree there ... bursejan@gmail.com - 2018-06-26 13:38 -0700
                Re: In the Binary Tree there ... "Chris M. Thomasson" <invalid_chris_thomasson@invalid.invalid> - 2018-06-26 14:01 -0700
                Re: In the Binary Tree there ... "Ross A. Finlayson" <ross.finlayson@gmail.com> - 2018-06-26 14:14 -0700
                Re: In the Binary Tree there ... bursejan@gmail.com - 2018-06-26 14:23 -0700
                Re: In the Binary Tree there ... "Ross A. Finlayson" <ross.finlayson@gmail.com> - 2018-06-26 14:26 -0700
                Re: In the Binary Tree there ... "Chris M. Thomasson" <invalid_chris_thomasson@invalid.invalid> - 2018-06-26 14:38 -0700
                Re: In the Binary Tree there ... "Ross A. Finlayson" <ross.finlayson@gmail.com> - 2018-06-26 15:24 -0700
                Re: In the Binary Tree there ... "Ross A. Finlayson" <ross.finlayson@gmail.com> - 2018-06-26 15:28 -0700
                Re: In the Binary Tree there ... bursejan@gmail.com - 2018-06-26 15:33 -0700
                Re: In the Binary Tree there ... bursejan@gmail.com - 2018-06-26 15:51 -0700
                Re: In the Binary Tree there ... bursejan@gmail.com - 2018-06-26 15:59 -0700
                Re: In the Binary Tree there ... "Ross A. Finlayson" <ross.finlayson@gmail.com> - 2018-06-26 16:09 -0700
                Re: In the Binary Tree there ... bursejan@gmail.com - 2018-06-26 16:23 -0700
                Re: In the Binary Tree there ... bursejan@gmail.com - 2018-06-26 16:29 -0700
                Re: In the Binary Tree there ... "Ross A. Finlayson" <ross.finlayson@gmail.com> - 2018-06-26 16:35 -0700
                Re: In the Binary Tree there ... bursejan@gmail.com - 2018-06-26 16:47 -0700
                Re: In the Binary Tree there ... bursejan@gmail.com - 2018-06-26 16:51 -0700
                Re: In the Binary Tree there ... bursejan@gmail.com - 2018-06-26 16:53 -0700
                Re: In the Binary Tree there ... "Ross A. Finlayson" <ross.finlayson@gmail.com> - 2018-06-26 17:01 -0700
                Re: In the Binary Tree there ... bursejan@gmail.com - 2018-06-26 17:14 -0700
                Re: In the Binary Tree there ... bursejan@gmail.com - 2018-06-26 17:20 -0700
                Re: In the Binary Tree there ... "Ross A. Finlayson" <ross.finlayson@gmail.com> - 2018-06-26 17:27 -0700
                Re: In the Binary Tree there ... bursejan@gmail.com - 2018-06-26 17:29 -0700
                Re: In the Binary Tree there ... bursejan@gmail.com - 2018-06-26 17:35 -0700
                Re: In the Binary Tree there ... bursejan@gmail.com - 2018-06-26 17:39 -0700
                Re: In the Binary Tree there ... bursejan@gmail.com - 2018-06-26 17:52 -0700
                Re: In the Binary Tree there ... "Ross A. Finlayson" <ross.finlayson@gmail.com> - 2018-06-26 19:02 -0700
                Re: In the Binary Tree there ... "Ross A. Finlayson" <ross.finlayson@gmail.com> - 2018-06-26 19:33 -0700
                Re: In the Binary Tree there ... bursejan@gmail.com - 2018-06-27 00:58 -0700
                Re: In the Binary Tree there ... bursejan@gmail.com - 2018-06-27 01:03 -0700
                Re: In the Binary Tree there ... "Ross A. Finlayson" <ross.finlayson@gmail.com> - 2018-06-27 06:54 -0700
                Re: In the Binary Tree there ... "Ross A. Finlayson" <ross.finlayson@gmail.com> - 2018-06-26 17:19 -0700
                Re: In the Binary Tree there ... "Chris M. Thomasson" <invalid_chris_thomasson@invalid.invalid> - 2018-06-26 20:48 -0700
                Re: In the Binary Tree there ... "Ross A. Finlayson" <ross.finlayson@gmail.com> - 2018-06-26 21:13 -0700
                Re: In the Binary Tree there ... "Chris M. Thomasson" <invalid_chris_thomasson@invalid.invalid> - 2018-06-26 14:33 -0700
                Re: In the Binary Tree there ... bursejan@gmail.com - 2018-06-26 14:34 -0700
                Re: In the Binary Tree there ... bursejan@gmail.com - 2018-06-26 14:49 -0700
                Re: In the Binary Tree there ... j4n bur53 <janburse@fastmail.fm> - 2018-06-26 23:54 +0200
                Re: In the Binary Tree there ... "Ross A. Finlayson" <ross.finlayson@gmail.com> - 2018-06-26 14:00 -0700
                Re: In the Binary Tree there ... "Shobe, Martin" <martin.shobe@yahoo.com> - 2018-06-26 18:28 -0500
                Re: In the Binary Tree there ... transfinity01@gmail.com - 2018-06-27 06:49 -0700
                Re: In the Binary Tree there ... "Ross A. Finlayson" <ross.finlayson@gmail.com> - 2018-06-27 07:05 -0700
                Re: In the Binary Tree there ... "Ross A. Finlayson" <ross.finlayson@gmail.com> - 2018-06-27 07:44 -0700
                Re: In the Binary Tree there ... bursejan@gmail.com - 2018-06-27 07:53 -0700
                Re: In the Binary Tree there ... "Ross A. Finlayson" <ross.finlayson@gmail.com> - 2018-06-27 08:07 -0700
                Re: In the Binary Tree there ... "Ross A. Finlayson" <ross.finlayson@gmail.com> - 2018-06-27 08:39 -0700
                Re: In the Binary Tree there ... "Shobe, Martin" <martin.shobe@yahoo.com> - 2018-06-27 18:24 -0500
                Re: In the Binary Tree there ... transfinity01@gmail.com - 2018-06-28 06:56 -0700
                Re: In the Binary Tree there ... bursejan@gmail.com - 2018-06-28 07:00 -0700
                Re: In the Binary Tree there ... "Shobe, Martin" <martin.shobe@yahoo.com> - 2018-06-28 15:58 -0500
                Re: In the Binary Tree there ... WM <wolfgang.mueckenheim@hs-augsburg.de> - 2018-06-29 06:23 -0700
                Re: In the Binary Tree there ... "Shobe, Martin" <martin.shobe@yahoo.com> - 2018-06-29 18:40 -0500
                Re: In the Binary Tree there ... transfinity01@gmail.com - 2018-06-30 06:57 -0700
                Re: In the Binary Tree there ... "Shobe, Martin" <martin.shobe@yahoo.com> - 2018-06-30 09:37 -0500
                Re: In the Binary Tree there ... Julio Di Egidio <julio@diegidio.name> - 2018-06-26 05:41 -0700
                Re: In the Binary Tree there ... Dan Christensen <Dan_Christensen@sympatico.ca> - 2018-06-26 06:33 -0700
                Re: In the Binary Tree there ... Julio Di Egidio <julio@diegidio.name> - 2018-06-26 06:39 -0700
                Re: In the Binary Tree there ... Dan Christensen <Dan_Christensen@sympatico.ca> - 2018-06-26 07:05 -0700
                Re: In the Binary Tree there ... Alan Smaill <smaill@SPAMinf.ed.ac.uk> - 2018-06-26 16:38 +0100
                Re: In the Binary Tree there ... Julio Di Egidio <julio@diegidio.name> - 2018-06-26 09:13 -0700
                Re: In the Binary Tree there ... "Shobe, Martin" <martin.shobe@yahoo.com> - 2018-06-26 18:32 -0500
                Re: In the Binary Tree there ... Alan Smaill <smaill@SPAMinf.ed.ac.uk> - 2018-06-27 15:00 +0100
                Re: In the Binary Tree there ... "Shobe, Martin" <martin.shobe@yahoo.com> - 2018-06-26 18:31 -0500
                Re: In the Binary Tree there ... Julio Di Egidio <julio@diegidio.name> - 2018-06-26 20:56 -0700
                Re: In the Binary Tree there ... "Shobe, Martin" <martin.shobe@yahoo.com> - 2018-06-27 18:25 -0500
                Re: In the Binary Tree there ... "Chris M. Thomasson" <invalid_chris_thomasson@invalid.invalid> - 2018-06-24 20:16 -0700
                Re: In the Binary Tree there ... "Chris M. Thomasson" <invalid_chris_thomasson@invalid.invalid> - 2018-06-24 20:21 -0700
  Re: In the Binary Tree there ... j4n bur53 <janburse@fastmail.fm> - 2018-06-22 17:33 +0200
    Re: In the Binary Tree there ... bursejan@gmail.com - 2018-06-22 08:42 -0700
      Re: In the Binary Tree there ... bursejan@gmail.com - 2018-06-22 08:48 -0700
        Re: In the Binary Tree there ... WM <wolfgang.mueckenheim@hs-augsburg.de> - 2018-06-22 09:03 -0700
          Re: In the Binary Tree there ... bursejan@gmail.com - 2018-06-22 09:12 -0700
            Re: In the Binary Tree there ... WM <wolfgang.mueckenheim@hs-augsburg.de> - 2018-06-22 09:41 -0700
              Re: In the Binary Tree there ... bursejan@gmail.com - 2018-06-22 09:50 -0700
                Re: In the Binary Tree there ... WM <wolfgang.mueckenheim@hs-augsburg.de> - 2018-06-22 09:56 -0700
                Re: In the Binary Tree there ... j4n bur53 <janburse@fastmail.fm> - 2018-06-22 19:16 +0200
                Re: In the Binary Tree there ... j4n bur53 <janburse@fastmail.fm> - 2018-06-22 19:23 +0200
    Re: In the Binary Tree there ... WM <wolfgang.mueckenheim@hs-augsburg.de> - 2018-06-22 08:58 -0700
      Re: In the Binary Tree there ... bursejan@gmail.com - 2018-06-22 09:00 -0700
  Re: In the Binary Tree there ... j4n bur53 <janburse@fastmail.fm> - 2018-06-22 22:28 +0200
    Re: In the Binary Tree there ... "Ross A. Finlayson" <ross.finlayson@gmail.com> - 2018-06-22 18:57 -0700
      Re: In the Binary Tree there ... "Ross A. Finlayson" <ross.finlayson@gmail.com> - 2018-06-22 19:27 -0700
        Re: In the Binary Tree there ... Julio Di Egidio <julio@diegidio.name> - 2018-06-22 20:28 -0700
          Re: In the Binary Tree there ... "Ross A. Finlayson" <ross.finlayson@gmail.com> - 2018-06-23 10:04 -0700
            Re: In the Binary Tree there ... bursejan@gmail.com - 2018-06-23 10:51 -0700
              Re: In the Binary Tree there ... "Ross A. Finlayson" <ross.finlayson@gmail.com> - 2018-06-23 11:02 -0700
                Re: In the Binary Tree there ... bursejan@gmail.com - 2018-06-23 11:04 -0700
                Re: In the Binary Tree there ... "Ross A. Finlayson" <ross.finlayson@gmail.com> - 2018-06-23 11:10 -0700
                Re: In the Binary Tree there ... bursejan@gmail.com - 2018-06-23 11:52 -0700
                Re: In the Binary Tree there ... "Ross A. Finlayson" <ross.finlayson@gmail.com> - 2018-06-23 21:37 -0700
                Re: In the Binary Tree there ... bursejan@gmail.com - 2018-06-24 03:42 -0700
                Re: In the Binary Tree there ... "Ross A. Finlayson" <ross.finlayson@gmail.com> - 2018-06-24 11:39 -0700
                Re: In the Binary Tree there ... bursejan@gmail.com - 2018-06-24 11:55 -0700
                Re: In the Binary Tree there ... "Ross A. Finlayson" <ross.finlayson@gmail.com> - 2018-06-24 12:02 -0700
            Re: In the Binary Tree there ... Julio Di Egidio <julio@diegidio.name> - 2018-06-24 11:46 -0700
              Re: In the Binary Tree there ... "Ross A. Finlayson" <ross.finlayson@gmail.com> - 2018-06-24 12:00 -0700
                Re: In the Binary Tree there ... Julio Di Egidio <julio@diegidio.name> - 2018-06-24 12:39 -0700
                Re: In the Binary Tree there ... "Ross A. Finlayson" <ross.finlayson@gmail.com> - 2018-06-24 12:58 -0700
                Re: In the Binary Tree there ... Julio Di Egidio <julio@diegidio.name> - 2018-06-24 13:09 -0700
                Re: In the Binary Tree there ... Julio Di Egidio <julio@diegidio.name> - 2018-06-24 13:11 -0700
                Re: In the Binary Tree there ... "Ross A. Finlayson" <ross.finlayson@gmail.com> - 2018-06-24 14:13 -0700
                Re: In the Binary Tree there ... Julio Di Egidio <julio@diegidio.name> - 2018-06-24 14:34 -0700
                Re: In the Binary Tree there ... "Ross A. Finlayson" <ross.finlayson@gmail.com> - 2018-06-24 14:58 -0700
                Re: In the Binary Tree there ... Julio Di Egidio <julio@diegidio.name> - 2018-06-24 15:02 -0700
                Re: In the Binary Tree there ... "Ross A. Finlayson" <ross.finlayson@gmail.com> - 2018-06-24 15:12 -0700
                Re: In the Binary Tree there ... Julio Di Egidio <julio@diegidio.name> - 2018-06-24 15:14 -0700
                Re: In the Binary Tree there ... "Ross A. Finlayson" <ross.finlayson@gmail.com> - 2018-06-24 15:30 -0700
                Re: In the Binary Tree there ... bursejan@gmail.com - 2018-06-24 16:01 -0700
                Re: In the Binary Tree there ... "Ross A. Finlayson" <ross.finlayson@gmail.com> - 2018-06-24 22:00 -0700
        Re: In the Binary Tree there ... bursejan@gmail.com - 2018-06-22 20:28 -0700
          Re: In the Binary Tree there ... Julio Di Egidio <julio@diegidio.name> - 2018-06-22 20:29 -0700
            Re: In the Binary Tree there ... bursejan@gmail.com - 2018-06-22 20:31 -0700
              Re: In the Binary Tree there ... Julio Di Egidio <julio@diegidio.name> - 2018-06-22 20:33 -0700
                Re: In the Binary Tree there ... bursejan@gmail.com - 2018-06-22 20:34 -0700
                Re: In the Binary Tree there ... Julio Di Egidio <julio@diegidio.name> - 2018-06-22 20:35 -0700
                Re: In the Binary Tree there ... bursejan@gmail.com - 2018-06-22 20:36 -0700
                Re: In the Binary Tree there ... Julio Di Egidio <julio@diegidio.name> - 2018-06-22 20:39 -0700
                Re: In the Binary Tree there ... bursejan@gmail.com - 2018-06-22 20:41 -0700
                Re: In the Binary Tree there ... Julio Di Egidio <julio@diegidio.name> - 2018-06-22 20:45 -0700
          Re: In the Binary Tree there ... "Ross A. Finlayson" <ross.finlayson@gmail.com> - 2018-06-22 22:16 -0700
  Re: In the Binary Tree there ... Julio Di Egidio <julio@diegidio.name> - 2018-06-22 20:21 -0700
  Re: In the Binary Tree there ... j4n bur53 <janburse@fastmail.fm> - 2018-06-23 05:47 +0200
    Re: In the Binary Tree there ... Julio Di Egidio <julio@diegidio.name> - 2018-06-22 20:50 -0700
      Re: In the Binary Tree there ... j4n bur53 <janburse@fastmail.fm> - 2018-06-23 05:54 +0200
        Re: In the Binary Tree there ... Julio Di Egidio <julio@diegidio.name> - 2018-06-22 20:59 -0700
          Re: In the Binary Tree there ... j4n bur53 <janburse@fastmail.fm> - 2018-06-23 06:02 +0200
  Re: In the Binary Tree there ... Zelos Malum <zelos.malum@gmail.com> - 2018-06-24 22:58 -0700
    Re: In the Binary Tree there ... WM <wolfgang.mueckenheim@hs-augsburg.de> - 2018-06-25 02:42 -0700
      Re: In the Binary Tree there ... Zelos Malum <zelos.malum@gmail.com> - 2018-06-25 22:50 -0700
        Re: In the Binary Tree there ... WM <wolfgang.mueckenheim@hs-augsburg.de> - 2018-06-26 04:12 -0700
          Re: In the Binary Tree there ... Zelos Malum <zelos.malum@gmail.com> - 2018-06-26 23:05 -0700
            Re: In the Binary Tree there ... transfinity01@gmail.com - 2018-06-27 06:42 -0700
              Re: In the Binary Tree there ... "Shobe, Martin" <martin.shobe@yahoo.com> - 2018-06-27 18:26 -0500
                Re: In the Binary Tree there ... transfinity01@gmail.com - 2018-06-28 06:53 -0700
                Re: In the Binary Tree there ... "Shobe, Martin" <martin.shobe@yahoo.com> - 2018-06-28 16:00 -0500
                Re: In the Binary Tree there ... "Chris M. Thomasson" <invalid_chris_thomasson@invalid.invalid> - 2018-06-28 14:17 -0700
                Re: In the Binary Tree there ... WM <wolfgang.mueckenheim@hs-augsburg.de> - 2018-06-28 14:55 -0700
                Re: In the Binary Tree there ... Python <python@python.invalid> - 2018-06-29 02:04 +0200
                Re: In the Binary Tree there ... "Shobe, Martin" <martin.shobe@yahoo.com> - 2018-06-28 19:36 -0500
                Re: In the Binary Tree there ... WM <wolfgang.mueckenheim@hs-augsburg.de> - 2018-06-29 06:30 -0700
                Re: In the Binary Tree there ... "Shobe, Martin" <martin.shobe@yahoo.com> - 2018-06-29 18:45 -0500
                Re: In the Binary Tree there ... transfinity01@gmail.com - 2018-06-30 06:57 -0700
                Re: In the Binary Tree there ... transfinity01@gmail.com - 2018-06-30 07:03 -0700
                Re: In the Binary Tree there ... "Shobe, Martin" <martin.shobe@yahoo.com> - 2018-06-30 09:42 -0500
                Re: In the Binary Tree there ... WM <wolfgang.mueckenheim@hs-augsburg.de> - 2018-06-30 14:41 -0700
                Re: In the Binary Tree there ... "Shobe, Martin" <martin.shobe@yahoo.com> - 2018-06-30 22:45 -0500
                Re: In the Binary Tree there ... "Chris M. Thomasson" <invalid_chris_thomasson@invalid.invalid> - 2018-06-30 21:56 -0700
                Re: In the Binary Tree there ... WM <wolfgang.mueckenheim@hs-augsburg.de> - 2018-07-01 04:14 -0700
                Re: In the Binary Tree there ... "Ross A. Finlayson" <ross.finlayson@gmail.com> - 2018-07-01 12:57 -0700
                Re: In the Binary Tree there ... "Ross A. Finlayson" <ross.finlayson@gmail.com> - 2018-07-01 13:05 -0700
                Re: In the Binary Tree there ... WM <wolfgang.mueckenheim@hs-augsburg.de> - 2018-07-02 05:04 -0700
                Re: In the Binary Tree there ... "Ross A. Finlayson" <ross.finlayson@gmail.com> - 2018-07-02 08:04 -0700
                Re: In the Binary Tree there ... WM <wolfgang.mueckenheim@hs-augsburg.de> - 2018-07-02 05:04 -0700
                Re: In the Binary Tree there ... bursejan@gmail.com - 2018-07-02 06:13 -0700
                Re: In the Binary Tree there ... WM <wolfgang.mueckenheim@hs-augsburg.de> - 2018-07-02 06:39 -0700
                Re: In the Binary Tree there ... bursejan@gmail.com - 2018-07-02 06:54 -0700
                Re: In the Binary Tree there ... bursejan@gmail.com - 2018-07-02 06:59 -0700
                Re: In the Binary Tree there ... WM <wolfgang.mueckenheim@hs-augsburg.de> - 2018-07-02 07:34 -0700
                Re: In the Binary Tree there ... "Ross A. Finlayson" <ross.finlayson@gmail.com> - 2018-07-02 08:25 -0700
                Re: In the Binary Tree there ... bursejan@gmail.com - 2018-07-02 10:22 -0700
                Re: In the Binary Tree there ... bursejan@gmail.com - 2018-07-02 10:35 -0700
                Re: In the Binary Tree there ... WM <wolfgang.mueckenheim@hs-augsburg.de> - 2018-07-02 11:38 -0700
                Re: In the Binary Tree there ... "Ross A. Finlayson" <ross.finlayson@gmail.com> - 2018-07-02 11:44 -0700
                Re: In the Binary Tree there ... bursejan@gmail.com - 2018-07-02 18:13 -0700
                Re: In the Binary Tree there ... WM <wolfgang.mueckenheim@hs-augsburg.de> - 2018-07-02 11:38 -0700
                Re: In the Binary Tree there ... "Shobe, Martin" <martin.shobe@yahoo.com> - 2018-07-01 20:37 -0500
                Re: In the Binary Tree there ... WM <wolfgang.mueckenheim@hs-augsburg.de> - 2018-07-02 11:39 -0700
                Re: In the Binary Tree there ... "Shobe, Martin" <martin.shobe@yahoo.com> - 2018-07-02 18:50 -0500
                Re: In the Binary Tree there ... WM <wolfgang.mueckenheim@hs-augsburg.de> - 2018-07-03 05:49 -0700
                Re: In the Binary Tree there ... "Shobe, Martin" <martin.shobe@yahoo.com> - 2018-07-03 19:26 -0500
                Re: In the Binary Tree there ... WM <wolfgang.mueckenheim@hs-augsburg.de> - 2018-07-04 04:26 -0700
                Re: In the Binary Tree there ... "Shobe, Martin" <martin.shobe@yahoo.com> - 2018-07-04 20:31 -0500
                Re: In the Binary Tree there ... WM <wolfgang.mueckenheim@hs-augsburg.de> - 2018-07-05 03:50 -0700
                Re: In the Binary Tree there ... "Shobe, Martin" <martin.shobe@yahoo.com> - 2018-07-05 06:22 -0500
                Re: In the Binary Tree there ... WM <wolfgang.mueckenheim@hs-augsburg.de> - 2018-07-05 14:17 -0700
                Re: In the Binary Tree there ... "Shobe, Martin" <martin.shobe@yahoo.com> - 2018-07-05 17:24 -0500
                Re: In the Binary Tree there ... WM <wolfgang.mueckenheim@hs-augsburg.de> - 2018-07-06 03:38 -0700
                Re: In the Binary Tree there ... "Shobe, Martin" <martin.shobe@yahoo.com> - 2018-07-06 18:23 -0500
                Re: In the Binary Tree there ... WM <wolfgang.mueckenheim@hs-augsburg.de> - 2018-07-07 03:25 -0700
                Re: In the Binary Tree there ... "Shobe, Martin" <martin.shobe@yahoo.com> - 2018-07-07 16:41 -0500
                Re: In the Binary Tree there ... WM <wolfgang.mueckenheim@hs-augsburg.de> - 2018-07-08 05:20 -0700
                Re: In the Binary Tree there ... "Shobe, Martin" <martin.shobe@yahoo.com> - 2018-07-08 21:42 -0500
                Re: In the Binary Tree there ... WM <wolfgang.mueckenheim@hs-augsburg.de> - 2018-07-09 05:09 -0700
                Re: In the Binary Tree there ... "Shobe, Martin" <martin.shobe@yahoo.com> - 2018-07-09 18:40 -0500
                Re: In the Binary Tree there ... WM <wolfgang.mueckenheim@hs-augsburg.de> - 2018-07-10 01:47 -0700
                Re: In the Binary Tree there ... "Shobe, Martin" <martin.shobe@yahoo.com> - 2018-07-10 18:26 -0500
                Re: In the Binary Tree there ... WM <wolfgang.mueckenheim@hs-augsburg.de> - 2018-07-11 05:48 -0700
                Re: In the Binary Tree there ... "Shobe, Martin" <martin.shobe@yahoo.com> - 2018-07-11 11:21 -0500
                Re: In the Binary Tree there ... WM <wolfgang.mueckenheim@hs-augsburg.de> - 2018-07-11 09:53 -0700
                Re: In the Binary Tree there ... "Shobe, Martin" <martin.shobe@yahoo.com> - 2018-07-11 17:06 -0500
                Re: In the Binary Tree there ... "Chris M. Thomasson" <invalid_chris_thomasson@invalid.invalid> - 2018-07-11 21:50 -0700
                Re: In the Binary Tree there ... "Shobe, Martin" <martin.shobe@yahoo.com> - 2018-07-12 14:51 -0500
                Re: In the Binary Tree there ... "Chris M. Thomasson" <invalid_chris_thomasson@invalid.invalid> - 2018-07-12 13:22 -0700
                Re: In the Binary Tree there ... Julio Di Egidio <julio@diegidio.name> - 2018-07-12 20:43 -0700
                Re: In the Binary Tree there ... Alan Smaill <smaill@SPAMinf.ed.ac.uk> - 2018-07-13 10:54 +0100
                Re: In the Binary Tree there ... Julio Di Egidio <julio@diegidio.name> - 2018-07-13 04:17 -0700
                Re: In the Binary Tree there ... Alan Smaill <smaill@SPAMinf.ed.ac.uk> - 2018-07-13 12:34 +0100
                Re: In the Binary Tree there ... Julio Di Egidio <julio@diegidio.name> - 2018-07-13 04:49 -0700
                Re: In the Binary Tree there ... Julio Di Egidio <julio@diegidio.name> - 2018-07-13 04:51 -0700
                Re: In the Binary Tree there ... Julio Di Egidio <julio@diegidio.name> - 2018-07-13 05:06 -0700
                Re: In the Binary Tree there ... Python <python@python.invalid> - 2018-07-13 15:17 +0200
                Re: In the Binary Tree there ... WM <wolfgang.mueckenheim@hs-augsburg.de> - 2018-07-13 04:46 -0700
                Re: In the Binary Tree there ... "Chris M. Thomasson" <invalid_chris_thomasson@invalid.invalid> - 2018-07-13 14:38 -0700
                Re: In the Binary Tree there ... "Chris M. Thomasson" <invalid_chris_thomasson@invalid.invalid> - 2018-07-13 14:46 -0700
                Re: In the Binary Tree there ... "Ross A. Finlayson" <ross.finlayson@gmail.com> - 2018-07-13 14:56 -0700
                Re: In the Binary Tree there ... Julio Di Egidio <julio@diegidio.name> - 2018-07-13 15:23 -0700
                Re: In the Binary Tree there ... Julio Di Egidio <julio@diegidio.name> - 2018-07-13 15:15 -0700
                Re: In the Binary Tree there ... "Chris M. Thomasson" <invalid_chris_thomasson@invalid.invalid> - 2018-07-13 15:39 -0700
                Re: In the Binary Tree there ... WM <wolfgang.mueckenheim@hs-augsburg.de> - 2018-07-14 05:14 -0700
                Re: In the Binary Tree there ... bursejan@gmail.com - 2018-07-14 06:52 -0700
                Re: In the Binary Tree there ... bursejan@gmail.com - 2018-07-14 06:54 -0700
                Re: In the Binary Tree there ... bursejan@gmail.com - 2018-07-14 06:58 -0700
                Re: In the Binary Tree there ... WM <wolfgang.mueckenheim@hs-augsburg.de> - 2018-07-14 09:52 -0700
                Re: In the Binary Tree there ... Alan Smaill <smaill@SPAMinf.ed.ac.uk> - 2018-07-16 15:47 +0100
                Re: In the Binary Tree there ... "Chris M. Thomasson" <invalid_chris_thomasson@invalid.invalid> - 2018-07-24 22:48 -0700
                Re: In the Binary Tree there ... "Ross A. Finlayson" <ross.finlayson@gmail.com> - 2018-07-13 12:03 -0700
                Re: In the Binary Tree there ... "Chris M. Thomasson" <invalid_chris_thomasson@invalid.invalid> - 2018-07-13 22:19 -0700
                Re: In the Binary Tree there ... WM <wolfgang.mueckenheim@hs-augsburg.de> - 2018-07-13 04:41 -0700
                Re: In the Binary Tree there ... WM <wolfgang.mueckenheim@hs-augsburg.de> - 2018-07-12 05:49 -0700
                Re: In the Binary Tree there ... "Shobe, Martin" <martin.shobe@yahoo.com> - 2018-07-12 14:53 -0500
                Re: In the Binary Tree there ... WM <wolfgang.mueckenheim@hs-augsburg.de> - 2018-07-13 04:41 -0700
                Re: In the Binary Tree there ... "Shobe, Martin" <martin.shobe@yahoo.com> - 2018-07-14 15:57 -0500
                Re: In the Binary Tree there ... WM <wolfgang.mueckenheim@hs-augsburg.de> - 2018-07-15 04:38 -0700
                Re: In the Binary Tree there ... jrennenkampff@googlemail.com - 2018-07-15 05:39 -0700
                Re: In the Binary Tree there ... WM <wolfgang.mueckenheim@hs-augsburg.de> - 2018-07-15 06:30 -0700
                Re: In the Binary Tree there ... "Chris M. Thomasson" <invalid_chris_thomasson@invalid.invalid> - 2018-07-15 15:32 -0700
                Re: In the Binary Tree there ... "Shobe, Martin" <martin.shobe@yahoo.com> - 2018-07-15 22:06 -0500
                Re: In the Binary Tree there ... WM <wolfgang.mueckenheim@hs-augsburg.de> - 2018-07-16 05:00 -0700
                Re: In the Binary Tree there ... "Shobe, Martin" <martin.shobe@yahoo.com> - 2018-07-16 07:51 -0500
                Re: In the Binary Tree there ... WM <wolfgang.mueckenheim@hs-augsburg.de> - 2018-07-16 06:12 -0700
                Re: In the Binary Tree there ... "Shobe, Martin" <martin.shobe@yahoo.com> - 2018-07-16 15:58 -0500
                Re: In the Binary Tree there ... WM <wolfgang.mueckenheim@hs-augsburg.de> - 2018-07-17 05:27 -0700
                Re: In the Binary Tree there ... "Shobe, Martin" <martin.shobe@yahoo.com> - 2018-07-18 21:03 -0500
                Re: In the Binary Tree there ... WM <wolfgang.mueckenheim@hs-augsburg.de> - 2018-07-19 06:10 -0700
                Re: In the Binary Tree there ... "Shobe, Martin" <martin.shobe@yahoo.com> - 2018-07-19 22:03 -0500
                Re: In the Binary Tree there ... Julio Di Egidio <julio@diegidio.name> - 2018-07-20 03:15 -0700
                Re: In the Binary Tree there ... WM <wolfgang.mueckenheim@hs-augsburg.de> - 2018-07-20 05:12 -0700
                Re: In the Binary Tree there ... "Shobe, Martin" <martin.shobe@yahoo.com> - 2018-07-20 07:30 -0500
                Re: In the Binary Tree there ... "Chris M. Thomasson" <invalid_chris_thomasson@invalid.invalid> - 2018-07-20 13:52 -0700
                Re: In the Binary Tree there ... bursejan@gmail.com - 2018-07-20 14:20 -0700
                Re: In the Binary Tree there ... "Chris M. Thomasson" <invalid_chris_thomasson@invalid.invalid> - 2018-07-11 21:38 -0700
                Re: In the Binary Tree there ... "Chris M. Thomasson" <invalid_chris_thomasson@invalid.invalid> - 2018-07-11 21:44 -0700
                Re: In the Binary Tree there ... Zelos Malum <zelos.malum@gmail.com> - 2018-07-11 06:45 -0700
                Re: In the Binary Tree there ... WM <wolfgang.mueckenheim@hs-augsburg.de> - 2018-07-11 08:13 -0700
                Re: In the Binary Tree there ... Zelos Malum <zelos.malum@gmail.com> - 2018-07-15 01:44 -0700
                Re: In the Binary Tree there ... WM <wolfgang.mueckenheim@hs-augsburg.de> - 2018-07-15 04:38 -0700
                Re: In the Binary Tree there ... Zelos Malum <zelos.malum@gmail.com> - 2018-07-15 21:10 -0700
                Re: In the Binary Tree there ... "Chris M. Thomasson" <invalid_chris_thomasson@invalid.invalid> - 2018-07-15 21:21 -0700
                Re: In the Binary Tree there ... FromTheRafters <erratic@nomail.afraid.org> - 2018-07-16 09:21 -0400
                Re: In the Binary Tree there ... WM <wolfgang.mueckenheim@hs-augsburg.de> - 2018-07-16 06:48 -0700
                Re: In the Binary Tree there ... "Chris M. Thomasson" <invalid_chris_thomasson@invalid.invalid> - 2018-07-16 13:35 -0700
                Re: In the Binary Tree there ... WM <wolfgang.mueckenheim@hs-augsburg.de> - 2018-07-17 05:20 -0700
                Re: In the Binary Tree there ... Julio Di Egidio <julio@diegidio.name> - 2018-07-17 05:29 -0700
                Re: In the Binary Tree there ... WM <wolfgang.mueckenheim@hs-augsburg.de> - 2018-07-17 10:53 -0700
                Re: In the Binary Tree there ... Julio Di Egidio <julio@diegidio.name> - 2018-07-17 11:31 -0700
                Re: In the Binary Tree there ... Zelos Malum <zelos.malum@gmail.com> - 2018-07-17 22:39 -0700
                Re: In the Binary Tree there ... "Ross A. Finlayson" <ross.finlayson@gmail.com> - 2018-07-17 22:47 -0700
                Re: In the Binary Tree there ... FromTheRafters <erratic@nomail.afraid.org> - 2018-07-18 06:17 -0400
                Re: In the Binary Tree there ... "Ross A. Finlayson" <ross.finlayson@gmail.com> - 2018-07-18 09:16 -0700
                Re: In the Binary Tree there ... WM <wolfgang.mueckenheim@hs-augsburg.de> - 2018-07-18 06:12 -0700
                Re: In the Binary Tree there ... Alan Smaill <smaill@SPAMinf.ed.ac.uk> - 2018-07-18 17:11 +0100
                Re: In the Binary Tree there ... WM <wolfgang.mueckenheim@hs-augsburg.de> - 2018-07-19 05:37 -0700
                Re: In the Binary Tree there ... Alan Smaill <smaill@SPAMinf.ed.ac.uk> - 2018-07-20 12:20 +0100
                Re: In the Binary Tree there ... WM <wolfgang.mueckenheim@hs-augsburg.de> - 2018-07-20 05:03 -0700
                Re: In the Binary Tree there ... Alan Smaill <smaill@SPAMinf.ed.ac.uk> - 2018-07-20 14:33 +0100
                Re: In the Binary Tree there ... WM <wolfgang.mueckenheim@hs-augsburg.de> - 2018-07-20 11:41 -0700
                Re: In the Binary Tree there ... Alan Smaill <smaill@SPAMinf.ed.ac.uk> - 2018-07-21 20:58 +0100
                Re: In the Binary Tree there ... WM <wolfgang.mueckenheim@hs-augsburg.de> - 2018-07-22 06:16 -0700
                Re: In the Binary Tree there ... Alan Smaill <smaill@SPAMinf.ed.ac.uk> - 2018-07-22 15:49 +0100
                Re: In the Binary Tree there ... WM <wolfgang.mueckenheim@hs-augsburg.de> - 2018-07-23 06:21 -0700
                Re: In the Binary Tree there ... Alan Smaill <smaill@SPAMinf.ed.ac.uk> - 2018-07-23 14:52 +0100
                Re: In the Binary Tree there ... WM <wolfgang.mueckenheim@hs-augsburg.de> - 2018-07-23 10:12 -0700
                Re: In the Binary Tree there ... Alan Smaill <smaill@SPAMinf.ed.ac.uk> - 2018-07-23 18:38 +0100
                Re: In the Binary Tree there ... WM <wolfgang.mueckenheim@hs-augsburg.de> - 2018-07-24 06:58 -0700
                Re: In the Binary Tree there ... bursejan@gmail.com - 2018-07-24 13:47 -0700
                Re: In the Binary Tree there ... WM <wolfgang.mueckenheim@hs-augsburg.de> - 2018-07-25 04:26 -0700
                Re: In the Binary Tree there ... Alan Smaill <smaill@SPAMinf.ed.ac.uk> - 2018-07-25 14:02 +0100
                Re: In the Binary Tree there ... transfinity01@gmail.com - 2018-07-25 06:20 -0700
                Re: In the Binary Tree there ... Alan Smaill <smaill@SPAMinf.ed.ac.uk> - 2018-07-25 16:41 +0100
                Re: In the Binary Tree there ... WM <wolfgang.mueckenheim@hs-augsburg.de> - 2018-07-25 09:45 -0700
                Re: In the Binary Tree there ... Alan Smaill <smaill@SPAMinf.ed.ac.uk> - 2018-07-25 19:42 +0100
                Re: In the Binary Tree there ... WM <wolfgang.mueckenheim@hs-augsburg.de> - 2018-07-26 03:52 -0700
                Re: In the Binary Tree there ... Alan Smaill <smaill@SPAMinf.ed.ac.uk> - 2018-07-26 14:36 +0100
                Re: In the Binary Tree there ... transfinity01@gmail.com - 2018-07-26 07:26 -0700
                Re: In the Binary Tree there ... Alan Smaill <smaill@SPAMinf.ed.ac.uk> - 2018-07-26 15:36 +0100
                Re: In the Binary Tree there ... transfinity01@gmail.com - 2018-07-26 09:38 -0700
                Re: In the Binary Tree there ... FredJeffries <fredjeffries@gmail.com> - 2018-07-26 11:37 -0700
                Re: In the Binary Tree there ... "Ross A. Finlayson" <ross.finlayson@gmail.com> - 2018-07-26 12:21 -0700
                Re: In the Binary Tree there ... bursejan@gmail.com - 2018-07-26 14:35 -0700
                Re: In the Binary Tree there ... bursejan@gmail.com - 2018-07-26 14:41 -0700
                Re: In the Binary Tree there ... "Ross A. Finlayson" <ross.finlayson@gmail.com> - 2018-07-26 15:13 -0700
                Re: In the Binary Tree there ... Python <python@python.invalid> - 2018-07-26 16:42 +0200
                Re: In the Binary Tree there ... bursejan@gmail.com - 2018-07-25 12:35 -0700
                Re: In the Binary Tree there ... WM <wolfgang.mueckenheim@hs-augsburg.de> - 2018-07-26 03:50 -0700
                Re: In the Binary Tree there ... "K_h" <KHolmes@SX729.com> - 2018-07-24 19:03 -0700
                Re: In the Binary Tree there ... "Ross A. Finlayson" <ross.finlayson@gmail.com> - 2018-07-24 20:23 -0700
                Re: In the Binary Tree there ... WM <wolfgang.mueckenheim@hs-augsburg.de> - 2018-07-25 04:35 -0700
                Re: In the Binary Tree there ... Python <python@python.invalid> - 2018-07-25 13:45 +0200
                Re: In the Binary Tree there ... transfinity01@gmail.com - 2018-07-25 06:24 -0700
                Re: In the Binary Tree there ... Python <python@python.invalid> - 2018-07-25 15:29 +0200
                Re: In the Binary Tree there ... Jürgen R. <jurgenr@web.de> - 2018-07-25 21:51 +0200
                Re: In the Binary Tree there ... bursejan@gmail.com - 2018-07-25 12:57 -0700
                Re: In the Binary Tree there ... WM <wolfgang.mueckenheim@hs-augsburg.de> - 2018-07-26 03:47 -0700
                Re: In the Binary Tree there ... Python <python@python.invalid> - 2018-07-26 12:58 +0200
                Re: In the Binary Tree there ... WM <wolfgang.mueckenheim@hs-augsburg.de> - 2018-07-26 05:32 -0700
                Re: In the Binary Tree there ... Python <python@python.invalid> - 2018-07-26 14:36 +0200
                Re: In the Binary Tree there ... Python <python@python.invalid> - 2018-07-26 14:40 +0200
                Re: In the Binary Tree there ... bursejan@gmail.com - 2018-07-26 06:56 -0700
                Re: In the Binary Tree there ... transfinity01@gmail.com - 2018-07-26 07:28 -0700
                Re: In the Binary Tree there ... bursejan@gmail.com - 2018-07-26 07:32 -0700
                Re: In the Binary Tree there ... Alan Smaill <smaill@SPAMinf.ed.ac.uk> - 2018-07-26 14:24 +0100
                Re: In the Binary Tree there ... transfinity01@gmail.com - 2018-07-26 07:26 -0700
                Re: In the Binary Tree there ... Alan Smaill <smaill@SPAMinf.ed.ac.uk> - 2018-07-26 15:43 +0100
                Re: In the Binary Tree there ... transfinity01@gmail.com - 2018-07-26 09:38 -0700
                Re: In the Binary Tree there ... Python <python@python.invalid> - 2018-07-26 18:46 +0200
                Re: In the Binary Tree there ... Python <python@python.invalid> - 2018-07-26 18:50 +0200
                Re: In the Binary Tree there ... WM <wolfgang.mueckenheim@hs-augsburg.de> - 2018-07-26 05:36 -0700
                Re: In the Binary Tree there ... Python <python@python.invalid> - 2018-07-26 14:42 +0200
                Re: In the Binary Tree there ... transfinity01@gmail.com - 2018-07-26 07:30 -0700
                Re: In the Binary Tree there ... Python <python@python.invalid> - 2018-07-26 16:41 +0200
                Re: In the Binary Tree there ... jrennenkampff@googlemail.com - 2018-07-27 05:34 -0700
                Re: In the Binary Tree there ... transfinity01@gmail.com - 2018-07-27 06:43 -0700
                Re: In the Binary Tree there ... jrennenkampff@googlemail.com - 2018-07-29 04:14 -0700
                Re: In the Binary Tree there ... "Chris M. Thomasson" <invalid_chris_thomasson@invalid.invalid> - 2018-07-25 14:02 -0700
                Re: In the Binary Tree there ... "Ross A. Finlayson" <ross.finlayson@gmail.com> - 2018-07-25 14:13 -0700
                Re: In the Binary Tree there ... "K_h" <KHolmes@SX729.com> - 2018-07-26 11:33 -0700
                Re: In the Binary Tree there ... transfinity01@gmail.com - 2018-07-27 04:17 -0700
                Re: In the Binary Tree there ... "K_h" <KHolmes@SX729.com> - 2018-07-27 12:03 -0700
                Re: In the Binary Tree there ... "Ross A. Finlayson" <ross.finlayson@gmail.com> - 2018-07-27 13:03 -0700
                Re: In the Binary Tree there ... transfinity01@gmail.com - 2018-07-28 05:58 -0700
                Re: In the Binary Tree there ... Zeit Geist <Tucsondrew@me.com> - 2018-07-28 14:15 -0700
                Re: In the Binary Tree there ... WM <wolfgang.mueckenheim@hs-augsburg.de> - 2018-07-29 04:06 -0700
                Re: In the Binary Tree there ... Zeit Geist <Tucsondrew@me.com> - 2018-07-29 12:27 -0700
                Re: In the Binary Tree there ... bursejan@gmail.com - 2018-07-30 01:35 -0700
                Re: In the Binary Tree there ... WM <wolfgang.mueckenheim@hs-augsburg.de> - 2018-07-30 04:39 -0700
                Re: In the Binary Tree there ... bursejan@gmail.com - 2018-07-30 07:32 -0700
                Re: In the Binary Tree there ... bursejan@gmail.com - 2018-07-30 07:39 -0700
                Re: In the Binary Tree there ... bursejan@gmail.com - 2018-07-30 07:46 -0700
                Re: In the Binary Tree there ... WM <wolfgang.mueckenheim@hs-augsburg.de> - 2018-07-30 09:09 -0700
                Re: In the Binary Tree there ... Python <python@python.invalid> - 2018-07-30 18:15 +0200
                Re: In the Binary Tree there ... WM <wolfgang.mueckenheim@hs-augsburg.de> - 2018-07-30 11:36 -0700
                Re: In the Binary Tree there ... bursejan@gmail.com - 2018-07-30 11:45 -0700
                Re: In the Binary Tree there ... bursejan@gmail.com - 2018-07-30 11:48 -0700
                Re: In the Binary Tree there ... bursejan@gmail.com - 2018-07-30 12:03 -0700
                Re: In the Binary Tree there ... bursejan@gmail.com - 2018-07-30 12:11 -0700
                Re: In the Binary Tree there ... WM <wolfgang.mueckenheim@hs-augsburg.de> - 2018-07-31 04:05 -0700
                Re: In the Binary Tree there ... bursejan@gmail.com - 2018-07-31 04:48 -0700
                Re: In the Binary Tree there ... WM <wolfgang.mueckenheim@hs-augsburg.de> - 2018-07-31 05:25 -0700
                Re: In the Binary Tree there ... bursejan@gmail.com - 2018-07-31 10:02 -0700
                Re: In the Binary Tree there ... "Ross A. Finlayson" <ross.finlayson@gmail.com> - 2018-07-31 12:47 -0700
                Re: In the Binary Tree there ... bursejan@gmail.com - 2018-07-31 12:59 -0700
                Re: In the Binary Tree there ... "Ross A. Finlayson" <ross.finlayson@gmail.com> - 2018-07-31 14:01 -0700
                Re: In the Binary Tree there ... bursejan@gmail.com - 2018-07-31 14:27 -0700
                Re: In the Binary Tree there ... bursejan@gmail.com - 2018-07-31 15:10 -0700
                Re: In the Binary Tree there ... "Ross A. Finlayson" <ross.finlayson@gmail.com> - 2018-07-31 15:51 -0700
                Re: In the Binary Tree there ... bursejan@gmail.com - 2018-07-31 17:14 -0700
                Re: In the Binary Tree there ... "Ross A. Finlayson" <ross.finlayson@gmail.com> - 2018-07-31 20:44 -0700
                Re: In the Binary Tree there ... Python <python@python.invalid> - 2018-07-31 14:45 +0200
                Re: In the Binary Tree there ... "K_h" <KHolmes@SX729.com> - 2018-07-28 16:12 -0700
                Re: In the Binary Tree there ... WM <wolfgang.mueckenheim@hs-augsburg.de> - 2018-07-29 04:40 -0700
                Re: In the Binary Tree there ... FredJeffries <fredjeffries@gmail.com> - 2018-07-29 11:55 -0700
                Re: In the Binary Tree there ... "K_h" <KHolmes@SX729.com> - 2018-07-29 22:19 -0700
                Re: In the Binary Tree there ... WM <wolfgang.mueckenheim@hs-augsburg.de> - 2018-07-30 04:38 -0700
                Re: In the Binary Tree there ... "K_h" <KHolmes@SX729.com> - 2018-07-30 13:48 -0700
                Re: In the Binary Tree there ... WM <wolfgang.mueckenheim@hs-augsburg.de> - 2018-07-31 04:15 -0700
                Re: In the Binary Tree there ... Python <python@python.invalid> - 2018-07-31 14:42 +0200
                Re: In the Binary Tree there ... "K_h" <KHolmes@SX729.com> - 2018-07-31 20:52 -0700
                Re: In the Binary Tree there ... transfinity01@gmail.com - 2018-08-01 03:50 -0700
                Re: In the Binary Tree there ... "Chris M. Thomasson" <invalid_chris_thomasson@invalid.invalid> - 2018-08-01 22:14 -0700
                Re: In the Binary Tree there ... FredJeffries <fredjeffries@gmail.com> - 2018-08-02 16:29 -0700
                Re: In the Binary Tree there ... "Chris M. Thomasson" <invalid_chris_thomasson@invalid.invalid> - 2018-08-02 16:35 -0700
                Re: In the Binary Tree there ... "Chris M. Thomasson" <invalid_chris_thomasson@invalid.invalid> - 2018-08-02 22:55 -0700
                Re: In the Binary Tree there ... Python <python@python.invalid> - 2018-08-03 11:59 +0200
                Re: In the Binary Tree there ... "Ross A. Finlayson" <ross.finlayson@gmail.com> - 2018-08-03 09:46 -0700
                Re: In the Binary Tree there ... "Ross A. Finlayson" <ross.finlayson@gmail.com> - 2018-08-03 11:04 -0700
                Re: In the Binary Tree there ... "Chris M. Thomasson" <invalid_chris_thomasson@invalid.invalid> - 2018-08-01 22:10 -0700
                Re: In the Binary Tree there ... Zeit Geist <Tucsondrew@me.com> - 2018-07-27 14:38 -0700
                Re: In the Binary Tree there ... transfinity01@gmail.com - 2018-07-28 05:44 -0700
                Re: In the Binary Tree there ... Zeit Geist <Tucsondrew@me.com> - 2018-07-28 14:12 -0700
                Re: In the Binary Tree there ... WM <wolfgang.mueckenheim@hs-augsburg.de> - 2018-07-29 04:06 -0700
                Re: In the Binary Tree there ... Zeit Geist <Tucsondrew@me.com> - 2018-07-29 12:29 -0700
                Re: In the Binary Tree there ... WM <wolfgang.mueckenheim@hs-augsburg.de> - 2018-07-16 05:05 -0700
                Re: In the Binary Tree there ... bursejan@gmail.com - 2018-07-16 05:12 -0700
                Re: In the Binary Tree there ... jrennenkampff@googlemail.com - 2018-07-16 05:27 -0700
                Re: In the Binary Tree there ... WM <wolfgang.mueckenheim@hs-augsburg.de> - 2018-07-16 06:07 -0700
                Re: In the Binary Tree there ... Zelos Malum <zelos.malum@gmail.com> - 2018-07-16 23:08 -0700
                Re: In the Binary Tree there ... WM <wolfgang.mueckenheim@hs-augsburg.de> - 2018-07-17 06:24 -0700
                Re: In the Binary Tree there ... Mike Hart <gmoralesor@gmail.com> - 2018-07-17 08:42 -0700
                Re: In the Binary Tree there ... WM <wolfgang.mueckenheim@hs-augsburg.de> - 2018-07-17 10:52 -0700
                Re: In the Binary Tree there ... "Chris M. Thomasson" <invalid_chris_thomasson@invalid.invalid> - 2018-07-17 16:25 -0700
                Re: In the Binary Tree there ... "Ross A. Finlayson" <ross.finlayson@gmail.com> - 2018-07-17 23:28 -0700
                Re: In the Binary Tree there ... bursejan@gmail.com - 2018-07-18 05:16 -0700
                Re: In the Binary Tree there ... bursejan@gmail.com - 2018-07-18 05:29 -0700
                Re: In the Binary Tree there ... "Ross A. Finlayson" <ross.finlayson@gmail.com> - 2018-07-18 09:45 -0700
                Re: In the Binary Tree there ... bursejan@gmail.com - 2018-07-18 12:12 -0700
                Re: In the Binary Tree there ... bursejan@gmail.com - 2018-07-18 12:17 -0700
                Re: In the Binary Tree there ... bursejan@gmail.com - 2018-07-18 12:30 -0700
                Re: In the Binary Tree there ... bursejan@gmail.com - 2018-07-18 12:46 -0700
                Re: In the Binary Tree there ... "Ross A. Finlayson" <ross.finlayson@gmail.com> - 2018-07-18 12:47 -0700
                Re: In the Binary Tree there ... "Ross A. Finlayson" <ross.finlayson@gmail.com> - 2018-07-18 12:59 -0700
                Re: In the Binary Tree there ... bursejan@gmail.com - 2018-07-18 13:27 -0700
                Re: In the Binary Tree there ... bursejan@gmail.com - 2018-07-18 13:30 -0700
                Re: In the Binary Tree there ... "Ross A. Finlayson" <ross.finlayson@gmail.com> - 2018-07-18 13:43 -0700
                Re: In the Binary Tree there ... bursejan@gmail.com - 2018-07-18 14:27 -0700
                Re: In the Binary Tree there ... bursejan@gmail.com - 2018-07-18 14:31 -0700
                Re: In the Binary Tree there ... "Ross A. Finlayson" <ross.finlayson@gmail.com> - 2018-07-18 15:10 -0700
                Re: In the Binary Tree there ... "Ross A. Finlayson" <ross.finlayson@gmail.com> - 2018-07-18 12:42 -0700
                Re: In the Binary Tree there ... "Chris M. Thomasson" <invalid_chris_thomasson@invalid.invalid> - 2018-07-05 20:51 -0700
                Re: In the Binary Tree there ... WM <wolfgang.mueckenheim@hs-augsburg.de> - 2018-07-06 03:46 -0700
                Re: In the Binary Tree there ... "Chris M. Thomasson" <invalid_chris_thomasson@invalid.invalid> - 2018-07-06 13:02 -0700
                Re: In the Binary Tree there ... "Shobe, Martin" <martin.shobe@yahoo.com> - 2018-07-06 18:25 -0500
                Re: In the Binary Tree there ... "Chris M. Thomasson" <invalid_chris_thomasson@invalid.invalid> - 2018-07-06 16:29 -0700
              Re: In the Binary Tree there ... Zelos Malum <zelos.malum@gmail.com> - 2018-06-27 22:27 -0700
                Re: In the Binary Tree there ... transfinity01@gmail.com - 2018-06-28 06:52 -0700
                Re: In the Binary Tree there ... "Chris M. Thomasson" <invalid_chris_thomasson@invalid.invalid> - 2018-06-28 14:25 -0700
                Re: In the Binary Tree there ... "Ross A. Finlayson" <ross.finlayson@gmail.com> - 2018-06-28 16:21 -0700
                Re: In the Binary Tree there ... WM <wolfgang.mueckenheim@hs-augsburg.de> - 2018-06-29 06:30 -0700
                Re: In the Binary Tree there ... "Chris M. Thomasson" <invalid_chris_thomasson@invalid.invalid> - 2018-06-30 21:54 -0700
                Re: In the Binary Tree there ... FredJeffries <fredjeffries@gmail.com> - 2018-07-01 11:37 -0700
                Re: In the Binary Tree there ... "Chris M. Thomasson" <invalid_chris_thomasson@invalid.invalid> - 2018-07-02 13:10 -0700
                Re: In the Binary Tree there ... FredJeffries <fredjeffries@gmail.com> - 2018-07-02 14:38 -0700
                Re: In the Binary Tree there ... "Chris M. Thomasson" <invalid_chris_thomasson@invalid.invalid> - 2018-07-02 14:47 -0700
                Re: In the Binary Tree there ... FredJeffries <fredjeffries@gmail.com> - 2018-07-02 18:06 -0700
                Re: In the Binary Tree there ... "Chris M. Thomasson" <invalid_chris_thomasson@invalid.invalid> - 2018-07-21 15:22 -0700
                Re: In the Binary Tree there ... Zelos Malum <zelos.malum@gmail.com> - 2018-06-28 22:37 -0700
                Re: In the Binary Tree there ... WM <wolfgang.mueckenheim@hs-augsburg.de> - 2018-06-29 06:36 -0700
                Re: In the Binary Tree there ... bursejan@gmail.com - 2018-06-29 07:45 -0700
                Re: In the Binary Tree there ... bursejan@gmail.com - 2018-06-29 07:52 -0700
                Re: In the Binary Tree there ... transfinity01@gmail.com - 2018-06-29 12:57 -0700
                Re: In the Binary Tree there ... bursejan@gmail.com - 2018-06-29 16:56 -0700
                Re: In the Binary Tree there ... bursejan@gmail.com - 2018-06-29 17:01 -0700
                Re: In the Binary Tree there ... "Ross A. Finlayson" <ross.finlayson@gmail.com> - 2018-06-29 18:23 -0700
                Re: In the Binary Tree there ... Python <python@python.invalid> - 2018-06-30 14:47 +0200
                Re: In the Binary Tree there ... "Ross A. Finlayson" <ross.finlayson@gmail.com> - 2018-06-30 09:46 -0700
                Re: In the Binary Tree there ... transfinity01@gmail.com - 2018-06-30 07:13 -0700
                Re: In the Binary Tree there ... Zelos Malum <zelos.malum@gmail.com> - 2018-07-03 02:09 -0700
                Re: In the Binary Tree there ... WM <wolfgang.mueckenheim@hs-augsburg.de> - 2018-07-03 06:03 -0700
                Re: In the Binary Tree there ... Python <python@python.invalid> - 2018-07-03 15:11 +0200
                Re: In the Binary Tree there ... Zelos Malum <zelos.malum@gmail.com> - 2018-07-04 01:50 -0700
                Re: In the Binary Tree there ... WM <wolfgang.mueckenheim@hs-augsburg.de> - 2018-07-04 04:30 -0700
                Re: In the Binary Tree there ... jrennenkampff@googlemail.com - 2018-07-04 05:06 -0700
                Re: In the Binary Tree there ... WM <wolfgang.mueckenheim@hs-augsburg.de> - 2018-07-05 03:45 -0700
                Re: In the Binary Tree there ... "Chris M. Thomasson" <invalid_chris_thomasson@invalid.invalid> - 2018-07-05 20:53 -0700
                Re: In the Binary Tree there ... "Chris M. Thomasson" <invalid_chris_thomasson@invalid.invalid> - 2018-07-05 20:58 -0700
                Re: In the Binary Tree there ... WM <wolfgang.mueckenheim@hs-augsburg.de> - 2018-07-06 03:46 -0700
                Re: In the Binary Tree there ... "Chris M. Thomasson" <invalid_chris_thomasson@invalid.invalid> - 2018-07-06 13:06 -0700
                Re: In the Binary Tree there ... Zelos Malum <zelos.malum@gmail.com> - 2018-07-05 01:51 -0700
                Re: In the Binary Tree there ... WM <wolfgang.mueckenheim@hs-augsburg.de> - 2018-07-05 03:54 -0700
                Re: In the Binary Tree there ... Zelos Malum <zelos.malum@gmail.com> - 2018-07-05 04:55 -0700
                Re: In the Binary Tree there ... WM <wolfgang.mueckenheim@hs-augsburg.de> - 2018-07-05 14:20 -0700
                Re: In the Binary Tree there ... Python <python@python.invalid> - 2018-07-06 02:31 +0200
                Re: In the Binary Tree there ... Zelos Malum <zelos.malum@gmail.com> - 2018-07-06 02:18 -0700
                Re: In the Binary Tree there ... WM <wolfgang.mueckenheim@hs-augsburg.de> - 2018-07-06 03:54 -0700
  Re: In the Binary Tree there ... wpihughes@gmail.com - 2018-07-04 20:37 -0700
    Re: In the Binary Tree there ... WM <wolfgang.mueckenheim@hs-augsburg.de> - 2018-07-05 04:04 -0700
      Re: In the Binary Tree there ... wpihughes@gmail.com - 2018-07-05 04:26 -0700
        Re: In the Binary Tree there ... WM <wolfgang.mueckenheim@hs-augsburg.de> - 2018-07-05 14:10 -0700
          Re: In the Binary Tree there ... wpihughes@gmail.com - 2018-07-05 16:26 -0700

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