Re: .999 repeating is almost an infinitely large sequence

From	Ben Bacarisse <ben.usenet@bsb.me.uk>
Newsgroups	sci.math
Subject	Re: .999 repeating is almost an infinitely large sequence
Date	2023-06-26 02:13 +0100
Organization	A noiseless patient Spider
Message-ID	<87o7l33u1j.fsf@bsb.me.uk> (permalink)
References	(11 earlier) <87v8fb5e4l.fsf@bsb.me.uk> <u7ai29$ki7k$1@dont-email.me> <u7ai9g$ki7k$2@dont-email.me> <87jzvr5ctl.fsf@bsb.me.uk> <u7akdd$kqdf$1@dont-email.me>

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"Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> writes:

> On 6/25/2023 4:42 PM, Ben Bacarisse wrote:
>> "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> writes:
>> 
>>> On 6/25/2023 4:19 PM, Chris M. Thomasson wrote:
>>>> On 6/25/2023 4:14 PM, Ben Bacarisse wrote:
>>>>> "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> writes:
>>>>>
>>>>>> Check this out:
>>>>>>
>>>>>> i[n] = (floor(1/9 * 10^n) / 10^n) * 9 = .999....
>>>>>>
>>>>>> Right?
>>>>>
>>>>> No.  There is no n (in ℕ) that makes that equation hold.
>>>>>
>>>>>> Lets check:
>>>>>
>>>>> OK...
>>>>>
>>>>>> i[0] = (floor(1/9 * 10^0) / 10^0) * 9 = 0
>>>>>> i[1] = (floor(1/9 * 10^1) / 10^1) * 9 = .9
>>>>>> i[2] = (floor(1/9 * 10^2) / 10^2) * 9 = .99
>>>>>> i[3] = (floor(1/9 * 10^3) / 10^3) * 9 = .999
>>>>>> ...
>>>>>>
>>>>>> See?
>>>>>
>>>>> Do you?  None of i[n] = 0.999...
>>>>>
>>>> When n is taken to infinity, it equals .(9), right?
>>>
>>> n is without limit. Therefore the iterates go on forever and always get
>>> closer and closer to one. .999... = 1
>> Are you trying to say that lim_{n->oo} i[n] = 1?
>
> i[n] just denotes the iterates of:
>
> i[n] = (floor(1/9 * 10^n) / 10^n) * 9
>
> the infinite iterates are .(9)

So you are not simply saying that lim_{n->oo} i[n] = 1?  OK.  I wonder
what all these other words mean if not the simple fact that lim_{n->oo}
i[n] = 1.

>>> I am not exactly sure why:
>>>
>>> i[n] = (floor(1/9 * 10^n) / 10^n) * 9
>>>
>>> would not equal .(9) when n is taken to infinity.
>> lim_{n->oo} i[n] = 1.  Is that what you mean?
>> My objection was to this:
>>    i[n] = (floor(1/9 * 10^n) / 10^n) * 9 = .999....
>> It looks like an equation, but there is no n that satisfies it.
>
> i[n] means use n in the formula,

No.  It denotes a (functional) term in an equation (or other formula).
This, for example is correct:

  i[n] < 1

but this

  i[n] = 1

is not.  (Once defined, you don't have to keep repeating the complex
definition you've come up with for i[n].)

> so lets break it down for the first couple
> of iterates:
>
> i[0] = (floor(1/9 * 10^0) / 10^0) * 9 = 0
> i[1] = (floor(1/9 * 10^1) / 10^1) * 9 = .9
> i[2] = (floor(1/9 * 10^2) / 10^2) * 9 = .99
> i[3] = (floor(1/9 * 10^3) / 10^3) * 9 = .999
> ...

All correct.  i[n] = .(9) = 1 is not.  I am not sure what the problem is
other than you can only think in a sort of process/programming mode.

-- 
Ben.

Thread

.999 repeating is almost an infinitely large sequence "mitchr...@gmail.com" <mitchrae3323@gmail.com> - 2023-06-23 19:37 -0700
  Re: .999 repeating is almost an infinitely large sequence Brennan Otten <nnna@nebnrnea.ea> - 2023-06-24 19:20 +0000
    Re: .999 repeating is almost an infinitely large sequence "mitchr...@gmail.com" <mitchrae3323@gmail.com> - 2023-06-24 14:59 -0700
      Re: .999 repeating is almost an infinitely large sequence Hoang Kouman <gago@hhngnaoa.om> - 2023-06-24 22:22 +0000
        Re: .999 repeating is almost an infinitely large sequence "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2023-06-24 15:28 -0700
          Re: .999 repeating is almost an infinitely large sequence Bennett Sniders <rtne@etnnneis.bn> - 2023-06-24 23:28 +0000
            Re: .999 repeating is almost an infinitely large sequence "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2023-06-24 16:53 -0700
              Re: .999 repeating is almost an infinitely large sequence "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2023-06-24 16:58 -0700
              Re: .999 repeating is almost an infinitely large sequence Fritz Feldhase <franz.fritschee.ff@gmail.com> - 2023-06-26 09:30 -0700
                Re: .999 repeating is almost an infinitely large sequence "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2023-06-26 12:35 -0700
                Re: .999 repeating is almost an infinitely large sequence Fritz Feldhase <franz.fritschee.ff@gmail.com> - 2023-06-26 12:59 -0700
                Re: .999 repeating is almost an infinitely large sequence "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2023-06-26 13:07 -0700
                Re: .999 repeating is almost an infinitely large sequence FromTheRafters <FTR@nomail.afraid.org> - 2023-06-26 16:41 -0400
                Re: .999 repeating is almost an infinitely large sequence Deandre Romijnsen <dsrm@nnrderee.ds> - 2023-06-26 21:36 +0000
                Re: .999 repeating is almost an infinitely large sequence FromTheRafters <FTR@nomail.afraid.org> - 2023-06-26 16:31 -0400
                Re: .999 repeating is almost an infinitely large sequence "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2023-06-26 13:34 -0700
                Re: .999 repeating is almost an infinitely large sequence "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2023-06-26 13:35 -0700
            Re: .999 repeating is almost an infinitely large sequence "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2023-06-24 16:57 -0700
              Re: .999 repeating is almost an infinitely large sequence Bernard Bueren <buur@enbeebdn.ru> - 2023-06-25 08:00 +0000
                Re: .999 repeating is almost an infinitely large sequence Vlademire Ramaker <arde@rekeadem.ae> - 2023-06-25 19:18 +0000
                Re: .999 repeating is almost an infinitely large sequence "mitchr...@gmail.com" <mitchrae3323@gmail.com> - 2023-06-25 12:29 -0700
                Re: .999 repeating is almost an infinitely large sequence FromTheRafters <FTR@nomail.afraid.org> - 2023-06-25 17:54 -0400
                Re: .999 repeating is almost an infinitely large sequence Nikki Cann <nika@kinianka.ka> - 2023-06-25 22:06 +0000
                Re: .999 repeating is almost an infinitely large sequence "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2023-06-25 15:15 -0700
                Re: .999 repeating is almost an infinitely large sequence FromTheRafters <FTR@nomail.afraid.org> - 2023-06-25 18:30 -0400
                Re: .999 repeating is almost an infinitely large sequence Shan Kloeten <ntne@ntnnstke.sn> - 2023-06-26 06:45 +0000
                Re: .999 repeating is almost an infinitely Barton Houtem <otub@ahutnaee.eb> - 2023-06-26 06:58 +0000
                Re: .999 repeating is almost an infinitely large sequence "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2023-06-25 12:47 -0700
                Re: .999 repeating is almost an infinitely large sequence Buddy Oorschot <ocuo@codhudoh.to> - 2023-06-25 20:22 +0000
                Re: .999 repeating is almost an infinitely large sequence "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2023-06-25 14:20 -0700
                Re: .999 repeating is almost an infinitely large sequence Geosvani Peter <ogtv@asvsegtg.vp> - 2023-06-25 21:30 +0000
                Re: .999 repeating is almost an infinitely large sequence "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2023-06-25 14:51 -0700
                Re: .999 repeating is almost an infinitely large sequence Dustan Rademaker <mdrn@eurttrrn.de> - 2023-06-25 22:16 +0000
                Re: .999 repeating is almost an infinitely large sequence "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2023-06-25 15:18 -0700
                Re: .999 repeating is almost an infinitely large sequence Lemuel Marqueringh <argr@hqqgugqi.lr> - 2023-06-25 22:57 +0000
                Re: .999 repeating is almost an infinitely large sequence Volney <volney@invalid.invalid> - 2023-06-26 00:19 -0400
                Re: .999 repeating is almost an infinitely large sequence Markeen Schenck <ecme@kckhhkkc.kn> - 2023-06-26 07:09 +0000
                Re: .999 repeating is almost an infinitely large sequence Germaine Breda <eraa@gmeenmad.dr> - 2023-06-26 22:37 +0000
                Re: .999 repeating is almost an infinitely large sequence Morris Offermans <oeoe@ssoaanmf.sr> - 2023-06-26 07:22 +0000
                A Little Insight (was Re: .999 repeating is almost an infinitely large sequence) whodat <whodaat@void.nowgre.com> - 2023-06-26 14:23 -0500
                Re: A Little Insight (was Re: .999 repeating is almost an infinitely large sequence) Jim Pennino <jimp@gonzo.specsol.net> - 2023-06-26 12:57 -0700
                Re: A Little Insight (was Re: .999 repeating Foster Smeets <fste@sstffsem.ee> - 2023-06-26 21:14 +0000
                Re: A Little Insight (was Re: .999 repeating is almost an infinitely Connor Maas <naoa@nnsamoss.co> - 2023-06-26 21:27 +0000
                Re: A Little Insight (was Re: .999 repeating) Valery Schuyler <evrl@leerrael.hc> - 2023-06-27 11:48 +0000
                Re: A Little Insight (was Re: .999 repeating) Houston Beek <nnoo@bbookeon.ub> - 2023-06-27 22:23 +0000
                Re: .999 repeating is almost an infinitely large sequence "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2023-06-25 15:20 -0700
                Re: .999 repeating is almost an infinitely large sequence Volney <volney@invalid.invalid> - 2023-06-25 18:26 -0400
                Re: .999 repeating is almost an infinitely large sequence "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2023-06-25 15:29 -0700
                Re: .999 repeating is almost an infinitely large sequence Ezra Venn <rene@nvanarvz.vn> - 2023-06-25 22:49 +0000
                Re: .999 repeating is almost an infinitely large sequence Ben Bacarisse <ben.usenet@bsb.me.uk> - 2023-06-26 00:14 +0100
                Re: .999 repeating is almost an infinitely large sequence "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2023-06-25 16:19 -0700
                Re: .999 repeating is almost an infinitely large sequence "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2023-06-25 16:23 -0700
                Re: .999 repeating is almost an infinitely large sequence Ben Bacarisse <ben.usenet@bsb.me.uk> - 2023-06-26 00:42 +0100
                Re: .999 repeating is almost an infinitely large sequence "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2023-06-25 16:59 -0700
                Re: .999 repeating is almost an infinitely large sequence "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2023-06-25 17:03 -0700
                Re: .999 repeating is almost an infinitely large sequence "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2023-06-25 17:03 -0700
                Re: .999 repeating is almost an infinitely large sequence Ben Bacarisse <ben.usenet@bsb.me.uk> - 2023-06-26 02:20 +0100
                Re: .999 repeating is almost an infinitely large sequence "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2023-06-25 19:31 -0700
                Re: .999 repeating is almost an infinitely large sequence Ben Bacarisse <ben.usenet@bsb.me.uk> - 2023-06-26 14:57 +0100
                Re: .999 repeating is almost an infinitely large sequence "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2023-06-26 12:39 -0700
                Re: .999 repeating is almost an infinitely large sequence "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2023-06-27 12:20 -0700
                Re: .999 repeating is almost an infinitely large sequence "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2023-06-27 15:07 -0700
                Re: .999 repeating is almost an infinitely large sequence Ben Bacarisse <ben.usenet@bsb.me.uk> - 2023-06-28 02:38 +0100
                Re: .999 repeating is almost an infinitely large sequence "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2023-06-27 20:21 -0700
                Re: .999 repeating is almost an infinitely large sequence Ben Bacarisse <ben.usenet@bsb.me.uk> - 2023-06-28 14:51 +0100
                Re: .999 repeating is almost an infinitely large sequence "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2023-06-28 12:55 -0700
                Re: .999 repeating is almost an infinitely large sequence "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2023-06-28 12:56 -0700
                Re: .999 repeating is almost an infinitely large sequence "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2023-06-28 15:00 -0700
                Re: .999 repeating is almost an infinitely large sequence "mitchr...@gmail.com" <mitchrae3323@gmail.com> - 2023-06-29 10:39 -0700
                Re: .999 repeating is almost an infinitely large sequence "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2023-06-29 14:41 -0700
                Re: .999 repeating is almost an infinitely large sequence "mitchr...@gmail.com" <mitchrae3323@gmail.com> - 2023-06-29 21:18 -0700
                Re: .999 repeating is almost an infinitely large sequence "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2023-06-30 09:57 -0700
                Re: .999 repeating is almost an infinitely large sequence "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2023-06-27 15:08 -0700
                Re: .999 repeating is almost an infinitely large sequence Ben Bacarisse <ben.usenet@bsb.me.uk> - 2023-06-26 02:13 +0100
                Re: .999 repeating is almost an infinitely large sequence "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2023-06-25 19:33 -0700
                Re: .999 repeating is almost an infinitely large sequence FromTheRafters <FTR@nomail.afraid.org> - 2023-06-26 05:53 -0400
                Re: .999 repeating is almost an infinitely large sequence "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2023-06-26 12:30 -0700
                Re: .999 repeating is almost an infinitely large sequence Ben Bacarisse <ben.usenet@bsb.me.uk> - 2023-06-26 14:55 +0100
                Re: .999 repeating is almost an infinitely large sequence "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2023-06-26 12:27 -0700
                Re: .999 repeating is almost an infinitely large sequence Fritz Feldhase <franz.fritschee.ff@gmail.com> - 2023-06-26 13:09 -0700
                Re: .999 repeating is almost an infinitely large sequence "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2023-06-26 13:13 -0700
                Re: .999 repeating is almost an infinitely large sequence "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2023-06-26 13:15 -0700
                Re: .999 repeating is almost an infinitely large sequence Fritz Feldhase <franz.fritschee.ff@gmail.com> - 2023-06-26 13:21 -0700
                Re: .999 repeating is almost an infinitely large sequence Ben Bacarisse <ben.usenet@bsb.me.uk> - 2023-06-26 23:04 +0100
                Re: .999 repeating is almost an infinitely large sequence "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2023-06-26 15:09 -0700
                Re: .999 repeating is almost an infinitely large sequence "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2023-06-26 15:12 -0700
                Re: .999 repeating is almost an infinitely large sequence Ben Bacarisse <ben.usenet@bsb.me.uk> - 2023-06-26 23:20 +0100
                Re: .999 repeating is almost an infinitely large sequence "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2023-06-26 15:33 -0700
                Re: .999 repeating is almost an infinitely large sequence "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2023-06-26 15:36 -0700
                Re: .999 repeating is almost an infinitely large sequence FromTheRafters <FTR@nomail.afraid.org> - 2023-06-26 19:32 -0400
                Re: .999 repeating is almost an infinitely large sequence Fritz Feldhase <franz.fritschee.ff@gmail.com> - 2023-06-26 16:49 -0700
                Re: .999 repeating is almost an infinitely large sequence Ross Finlayson <ross.a.finlayson@gmail.com> - 2023-06-26 20:31 -0700
                Re: .999 repeating is almost an infinitely large sequence Ben Bacarisse <ben.usenet@bsb.me.uk> - 2023-06-27 16:15 +0100
                Re: .999 repeating is almost an infinitely large sequence Ross Finlayson <ross.a.finlayson@gmail.com> - 2023-06-27 14:32 -0700
                Re: .999 repeating is almost an infinitely large sequence Ben Bacarisse <ben.usenet@bsb.me.uk> - 2023-06-28 02:32 +0100
                Re: .999 repeating is almost an infinitely large sequence "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2023-06-27 12:03 -0700
                Re: .999 repeating is almost an infinitely large sequence Fritz Feldhase <franz.fritschee.ff@gmail.com> - 2023-06-27 13:11 -0700
                Re: .999 repeating is almost an infinitely large sequence "mitchr...@gmail.com" <mitchrae3323@gmail.com> - 2023-06-27 13:27 -0700
                Re: .999 repeating is almost an infinitely large sequence "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2023-06-26 15:37 -0700
                Re: .999 repeating is almost an infinitely large sequence Fritz Feldhase <franz.fritschee.ff@gmail.com> - 2023-06-26 10:11 -0700
                Re: .999 repeating is almost an infinitely large sequence "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2023-06-26 12:28 -0700
                Re: .999 repeating is almost an infinitely large sequence Fritz Feldhase <franz.fritschee.ff@gmail.com> - 2023-06-26 12:57 -0700
                Re: .999 repeating is almost an infinitely large sequence "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2023-06-26 13:05 -0700
                Re: .999 repeating is almost an infinitely large sequence Fritz Feldhase <franz.fritschee.ff@gmail.com> - 2023-06-26 13:17 -0700
                Re: .999 repeating is almost an infinitely large sequence "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2023-06-26 13:29 -0700
                Re: .999 repeating is almost an infinitely large sequence Fritz Feldhase <franz.fritschee.ff@gmail.com> - 2023-06-26 14:32 -0700
                Re: .999 repeating is almost an infinitely large sequence "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2023-06-26 14:47 -0700
                Re: .999 repeating is almost an infinitely large sequence "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2023-06-26 14:56 -0700
                Re: .999 repeating is almost an infinitely large sequence Fritz Feldhase <franz.fritschee.ff@gmail.com> - 2023-06-26 15:01 -0700
                Re: .999 repeating is almost an infinitely large sequence "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2023-06-26 15:06 -0700
                Re: .999 repeating is almost an infinitely large sequence Fritz Feldhase <franz.fritschee.ff@gmail.com> - 2023-06-26 15:15 -0700
                Re: .999 repeating is almost an infinitely large sequence "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2023-06-26 15:19 -0700
                Re: .999 repeating is almost an infinitely large sequence "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2023-06-26 15:20 -0700
                Re: .999 repeating is almost an infinitely large sequence Fritz Feldhase <franz.fritschee.ff@gmail.com> - 2023-06-26 15:24 -0700
                Re: .999 repeating is almost an infinitely large sequence "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2023-06-26 15:32 -0700
                Re: .999 repeating is almost an infinitely large sequence Maron Andel <nado@eredlemn.rl> - 2023-06-26 22:25 +0000
                Re: .999 repeating is almost an infinitely large sequence Fritz Feldhase <franz.fritschee.ff@gmail.com> - 2023-06-26 15:33 -0700
                Re: .999 repeating is almost an infinitely large sequence "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2023-06-26 15:59 -0700
                Re: .999 repeating is almost an infinitely large sequence Volney <volney@invalid.invalid> - 2023-06-26 22:36 -0400
                Re: .999 repeating is almost an infinitely large sequence "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2023-06-27 12:07 -0700
                Re: .999 repeating is almost an infinitely large sequence FromTheRafters <FTR@nomail.afraid.org> - 2023-06-26 17:15 -0400
                Re: .999 repeating is almost an infinitely large sequence "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2023-06-26 14:27 -0700
                Re: .999 repeating is almost an infinitely large sequence FromTheRafters <FTR@nomail.afraid.org> - 2023-06-26 17:30 -0400
                Re: .999 repeating is almost an infinitely large sequence Fritz Feldhase <franz.fritschee.ff@gmail.com> - 2023-06-26 14:39 -0700
                Re: .999 repeating is almost an infinitely large sequence Fritz Feldhase <franz.fritschee.ff@gmail.com> - 2023-06-26 15:13 -0700
                Re: .999 repeating is almost an infinitely large sequence Fritz Feldhase <franz.fritschee.ff@gmail.com> - 2023-06-26 10:02 -0700
                Re: .999 repeating is almost an infinitely large sequence Duncan Antwerp <anec@cnancrwp.ca> - 2023-06-26 22:20 +0000
                Re: .999 repeating is almost an infinitely large sequence Fritz Feldhase <franz.fritschee.ff@gmail.com> - 2023-06-26 15:28 -0700
                Re: .999 repeating is almost an infinitely large sequence FromTheRafters <FTR@nomail.afraid.org> - 2023-06-26 19:43 -0400
                Re: .999 repeating is almost an infinitely large sequence "mitchr...@gmail.com" <mitchrae3323@gmail.com> - 2023-06-26 09:18 -0700
                Re: .999 repeating is almost an infinitely large sequence Devoise Kool <ovve@sdodevlv.el> - 2023-06-28 21:56 +0000
              Re: .999 repeating is almost an infinitely large sequence Fritz Feldhase <franz.fritschee.ff@gmail.com> - 2023-06-26 09:38 -0700
                Re: .999 repeating is almost an infinitely large sequence "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2023-06-26 12:33 -0700
              Re: .999 repeating is almost an infinitely large sequence Fritz Feldhase <franz.fritschee.ff@gmail.com> - 2023-06-26 09:42 -0700
          Re: .999 repeating is almost an infinitely large sequence FromTheRafters <FTR@nomail.afraid.org> - 2023-06-24 20:05 -0400
            Re: .999 repeating is almost an infinitely large sequence "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2023-06-24 17:08 -0700
              Re: .999 repeating is almost an infinitely large sequence "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2023-06-24 17:10 -0700
                Re: .999 repeating is almost an infinitely large sequence "mitchr...@gmail.com" <mitchrae3323@gmail.com> - 2023-06-24 17:20 -0700
                Re: .999 repeating is almost an infinitely large sequence "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2023-06-24 17:25 -0700
                Re: .999 repeating is almost an infinitely large sequence FromTheRafters <FTR@nomail.afraid.org> - 2023-06-24 20:32 -0400
              Re: .999 repeating is almost an infinitely large sequence FromTheRafters <FTR@nomail.afraid.org> - 2023-06-24 20:20 -0400
            Re: .999 repeating is almost an infinitely large sequence Maxie Snider <eida@esxnnrxd.is> - 2023-06-25 08:06 +0000
          Re: .999 repeating is almost an infinitely large sequence Ben Bacarisse <ben.usenet@bsb.me.uk> - 2023-06-25 23:53 +0100
            Re: .999 repeating is almost an infinitely large sequence "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2023-06-25 15:59 -0700
              Re: .999 repeating is almost an infinitely large sequence Ben Bacarisse <ben.usenet@bsb.me.uk> - 2023-06-26 00:32 +0100
  Re: .999 repeating is almost an infinitely large sequence Ross Finlayson <ross.a.finlayson@gmail.com> - 2023-06-25 01:39 -0700
    Re: .999 repeating is almost an infinitely large sequence "mitchr...@gmail.com" <mitchrae3323@gmail.com> - 2023-06-25 10:05 -0700
      Re: .999 repeating is almost an infinitely large sequence Ross Finlayson <ross.a.finlayson@gmail.com> - 2023-06-25 14:05 -0700
        Re: .999 repeating is almost an infinitely large sequence Ross Finlayson <ross.a.finlayson@gmail.com> - 2023-07-02 10:30 -0700
  Re: .999 repeating is almost an infinitely large sequence "zelos...@gmail.com" <zelos.malum@gmail.com> - 2023-06-26 00:25 -0700
  Re: .999 repeating is almost an infinitely large sequence W <wwwwwwwwwwwwwwwwaaaaaa@hotmail.com> - 2023-06-26 10:14 -0700

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