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| From | Jim Burns <james.g.burns@att.net> |
|---|---|
| Newsgroups | sci.math |
| Subject | Re: because g⤨(g⁻¹(x)) = g(y) [1/2] Re: how |
| Date | 2024-04-22 15:36 -0400 |
| Organization | A noiseless patient Spider |
| Message-ID | <fd080bee-e8af-4984-b463-288a67d8f9fc@att.net> (permalink) |
| References | (8 earlier) <SMXuukb36RM2p0GDxOFCfgENLmE@jntp> <2eae07d8-365b-4dc4-8011-5858dc4a6c4d@att.net> <8tvqbseHeL7Rg95afREMiE05bGM@jntp> <c574a8da-34ec-4f1e-9169-1f85a39b69b8@att.net> <v06beh$13pd1$1@dont-email.me> |
On 4/22/2024 2:48 PM, Moebius wrote:
> Am 22.04.2024 um 19:32 schrieb Jim Burns:
>> ⦅0,ω+ω⦆ fits ⦅0,ω⦆
>
> Def:
> (u, v) := {x e ORD : u < x < v}
> (with x,y e ORD)
>
> Then ⦅0,ω⦆ c ⦅0,ω+ω⦆, but not ⦅0,ω+ω⦆ c ⦅0,ω⦆.
>
> After all, ω < ω+1 < ω+2 < ... < ω+ω.
>
> So with "I fits J",
> you don't mean "I fits in J",
> but rather "J fits in I", I guess.
> Right?
>
> A commen term in this context is "contains".
> Hence ⦅0,ω+ω⦆ contains ⦅0,ω⦆.
I am using "fit" differently.
X fits Y ⟺ X [≤] Y ⟺
exists 1.to.1 f: X ⇉ Y
Yes
ω < ω+1 < ω+2 < ... < ω+ω
However,
ω [≤≥] ω+1 [≤≥] ω+2 [≤≥] ... [≤≥] ω+ω
ω [=] ω+1 [=] ω+2 [=] ... [=] ω+ω
The distinction I make for WM is
κ [≤≱] κ+1 [≤≱] ... ω [≤≥] ω+1 [≤≥] ...
κ [<] κ+1 [<] ... ω [=] ω+1 [=] ...
I'm sorry for the confusion.
I am trying to shorten my posts enough that
WM will read them.
I am an eternal optimist.
The stylistic choice I make is a two.edged sword.
I feel it is a dynamic, very.readable style,
leaning toward the Ernest.Hemingway.ish.
However, deleting context courts confusion,
as you have noticed.
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Re: Contradiction of bijections as a measure for infinite sets Richard Damon <richard@damon-family.org> - 2024-04-04 08:19 -0400
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Re: Contradiction of bijections as a measure for infinite sets FromTheRafters <FTR@nomail.afraid.org> - 2024-04-05 08:57 -0400
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Re: Contradiction of bijections as a measure for infinite sets Richard Damon <richard@damon-family.org> - 2024-04-06 09:58 -0400
Re: Contradiction of bijections as a measure for infinite sets WM <wolfgang.mueckenheim@tha.de> - 2024-04-06 19:40 +0000
Re: Contradiction of bijections as a measure for infinite sets Richard Damon <richard@damon-family.org> - 2024-04-06 16:03 -0400
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Re: Contradiction of bijections as a measure for infinite sets Richard Damon <richard@damon-family.org> - 2024-04-07 07:16 -0400
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Re: how Tom Bola <Tom@bolamail.etc> - 2024-04-12 23:51 +0200
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Re: how Tom Bola <Tom@bolamail.etc> - 2024-04-18 01:10 +0200
Re: how WM <wolfgang.mueckenheim@tha.de> - 2024-04-18 14:59 +0000
Re: how FromTheRafters <FTR@nomail.afraid.org> - 2024-04-18 11:34 -0400
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Re: how "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2024-05-01 12:08 -0700
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Re: how WM <wolfgang.mueckenheim@tha.de> - 2024-05-03 17:03 +0000
Re: how Jim Burns <james.g.burns@att.net> - 2024-05-03 14:28 -0400
Re: how WM <wolfgang.mueckenheim@tha.de> - 2024-05-03 20:23 +0000
Re: how FromTheRafters <FTR@nomail.afraid.org> - 2024-05-03 15:10 -0400
Re: how WM <wolfgang.mueckenheim@tha.de> - 2024-05-03 20:28 +0000
Re: how FromTheRafters <FTR@nomail.afraid.org> - 2024-05-03 18:00 -0400
Re: how "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2024-05-03 15:07 -0700
Re: how WM <wolfgang.mueckenheim@tha.de> - 2024-05-06 18:51 +0000
Re: how Richard Damon <richard@damon-family.org> - 2024-05-03 23:18 -0400
Re: how FromTheRafters <FTR@nomail.afraid.org> - 2024-05-04 06:48 -0400
Re: how WM <wolfgang.mueckenheim@tha.de> - 2024-05-06 20:20 +0000
Re: how Moebius <invalid@example.invalid> - 2024-05-06 22:34 +0200
Re: how Moebius <invalid@example.invalid> - 2024-05-06 22:38 +0200
Re: how WM <wolfgang.mueckenheim@tha.de> - 2024-05-08 19:53 +0000
Re: how Moebius <invalid@example.invalid> - 2024-05-08 22:10 +0200
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Re: how Richard Damon <richard@damon-family.org> - 2024-05-03 07:32 -0400
Re: how "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2024-05-03 15:09 -0700
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Re: how WM <wolfgang.mueckenheim@tha.de> - 2024-05-03 14:01 +0000
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Re: how "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2024-05-03 20:15 -0700
Re: how FromTheRafters <FTR@nomail.afraid.org> - 2024-05-03 09:23 -0400
Re: how WM <wolfgang.mueckenheim@tha.de> - 2024-05-03 14:10 +0000
Re: how Tom Bola <Tom@bolamail.etc> - 2024-05-03 16:13 +0200
Re: how WM <wolfgang.mueckenheim@tha.de> - 2024-05-03 14:16 +0000
Re: how Tom Bola <Tom@bolamail.etc> - 2024-05-03 17:56 +0200
Re: how Moebius <invalid@example.invalid> - 2024-05-03 16:33 +0200
Re: how Moebius <invalid@example.invalid> - 2024-05-03 16:53 +0200
Re: how "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2024-05-03 15:16 -0700
Re: how Moebius <invalid@example.invalid> - 2024-05-04 00:32 +0200
Re: how Tom Bola <Tom@bolamail.etc> - 2024-05-03 18:12 +0200
Re: how Tom Bola <Tom@bolamail.etc> - 2024-05-03 18:37 +0200
Re: how Moebius <invalid@example.invalid> - 2024-05-03 22:46 +0200
Re: how Tom Bola <Tom@bolamail.etc> - 2024-05-03 23:36 +0200
Re: how Moebius <invalid@example.invalid> - 2024-05-03 22:52 +0200
Re: how WM <wolfgang.mueckenheim@tha.de> - 2024-05-03 16:59 +0000
Re: how Moebius <invalid@example.invalid> - 2024-05-03 22:28 +0200
Re: how Moebius <invalid@example.invalid> - 2024-05-03 22:31 +0200
Re: how Moebius <invalid@example.invalid> - 2024-05-03 22:38 +0200
Re: how Moebius <invalid@example.invalid> - 2024-05-03 16:17 +0200
Re: how "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2024-05-03 15:18 -0700
Re: how Moebius <invalid@example.invalid> - 2024-05-04 00:29 +0200
Re: how WM <wolfgang.mueckenheim@tha.de> - 2024-04-26 14:41 +0000
Re: how Richard Damon <richard@damon-family.org> - 2024-04-26 10:49 -0400
Re: how WM <wolfgang.mueckenheim@tha.de> - 2024-04-26 17:02 +0000
Re: how Richard Damon <richard@damon-family.org> - 2024-04-26 09:26 -0400
Re: how Tom Bola <Tom@bolamail.etc> - 2024-04-26 17:33 +0200
Re: how Tom Bola <Tom@bolamail.etc> - 2024-04-26 13:14 +0200
Re: how Richard Damon <richard@damon-family.org> - 2024-04-23 21:50 -0400
Re: how WM <wolfgang.mueckenheim@tha.de> - 2024-04-24 17:06 +0000
Re: how Moebius <moebius@example.invalid> - 2024-04-24 19:34 +0200
Re: how Richard Damon <richard@damon-family.org> - 2024-04-24 19:13 -0400
Re: how WM <wolfgang.mueckenheim@tha.de> - 2024-04-25 20:17 +0000
Re: how Richard Damon <richard@damon-family.org> - 2024-04-25 22:04 -0400
Re: how "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2024-05-03 20:22 -0700
Re: how Richard Damon <richard@damon-family.org> - 2024-04-22 18:55 -0400
Re: how Moebius <moebius@example.invalid> - 2024-04-21 18:07 +0200
Re: how WM <wolfgang.mueckenheim@tha.de> - 2024-04-22 15:10 +0000
Re: how Moebius <moebius@example.invalid> - 2024-04-22 18:04 +0200
Re: how Richard Damon <richard@damon-family.org> - 2024-04-22 18:58 -0400
Re: how WM <wolfgang.mueckenheim@tha.de> - 2024-04-23 18:35 +0000
Re: how Tom Bola <Tom@bolamail.etc> - 2024-04-23 20:47 +0200
Re: how WM <wolfgang.mueckenheim@tha.de> - 2024-04-23 19:06 +0000
Re: how Tom Bola <Tom@bolamail.etc> - 2024-04-23 21:30 +0200
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Re: how "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2024-04-23 14:27 -0700
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Re: how Richard Damon <richard@damon-family.org> - 2024-04-23 21:52 -0400
Re: how WM <wolfgang.mueckenheim@tha.de> - 2024-04-24 17:09 +0000
Re: how Moebius <moebius@example.invalid> - 2024-04-24 20:22 +0200
Re: how Richard Damon <richard@damon-family.org> - 2024-04-24 19:13 -0400
Re: how FromTheRafters <FTR@nomail.afraid.org> - 2024-04-19 17:44 -0400
Re: how Richard Damon <richard@damon-family.org> - 2024-04-19 19:32 -0400
Re: how WM <wolfgang.mueckenheim@tha.de> - 2024-04-20 16:39 +0000
Re: how Richard Damon <richard@damon-family.org> - 2024-04-20 13:05 -0400
Re: how WM <wolfgang.mueckenheim@tha.de> - 2024-04-20 18:31 +0000
Re: how Richard Damon <richard@damon-family.org> - 2024-04-20 14:47 -0400
Re: how WM <wolfgang.mueckenheim@tha.de> - 2024-04-22 14:15 +0000
Re: how Moebius <moebius@example.invalid> - 2024-04-22 16:31 +0200
Re: how Richard Damon <richard@damon-family.org> - 2024-04-22 19:01 -0400
Re: how WM <wolfgang.mueckenheim@tha.de> - 2024-04-23 18:42 +0000
Re: how Tom Bola <Tom@bolamail.etc> - 2024-04-23 20:54 +0200
Re: how Richard Damon <richard@damon-family.org> - 2024-04-23 21:57 -0400
Re: how WM <wolfgang.mueckenheim@tha.de> - 2024-04-23 19:34 +0000
Re: how Tom Bola <Tom@bolamail.etc> - 2024-04-23 21:45 +0200
Re: how WM <wolfgang.mueckenheim@tha.de> - 2024-04-23 19:51 +0000
Re: how Tom Bola <Tom@bolamail.etc> - 2024-04-23 22:03 +0200
Re: how WM <wolfgang.mueckenheim@tha.de> - 2024-04-24 17:01 +0000
Re: how Moebius <moebius@example.invalid> - 2024-04-24 19:40 +0200
Re: how WM <wolfgang.mueckenheim@tha.de> - 2024-04-25 19:40 +0000
Re: how Moebius <moebius@example.invalid> - 2024-04-25 21:47 +0200
Re: how WM <wolfgang.mueckenheim@tha.de> - 2024-04-25 20:27 +0000
Re: how Tom Bola <Tom@bolamail.etc> - 2024-04-25 22:40 +0200
Re: how Richard Damon <richard@damon-family.org> - 2024-04-25 22:07 -0400
Re: how "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2024-04-25 19:37 -0700
Re: how Richard Damon <richard@damon-family.org> - 2024-04-23 22:03 -0400
Re: how FromTheRafters <FTR@nomail.afraid.org> - 2024-04-24 06:49 -0400
Re: how WM <wolfgang.mueckenheim@tha.de> - 2024-04-24 17:10 +0000
Re: how FromTheRafters <FTR@nomail.afraid.org> - 2024-04-24 14:08 -0400
Re: how WM <wolfgang.mueckenheim@tha.de> - 2024-04-25 19:51 +0000
Re: how FromTheRafters <FTR@nomail.afraid.org> - 2024-04-25 19:03 -0400
Re: how WM <wolfgang.mueckenheim@tha.de> - 2024-04-26 14:32 +0000
Re: how FromTheRafters <FTR@nomail.afraid.org> - 2024-04-26 13:53 -0400
Re: how Richard Damon <richard@damon-family.org> - 2024-04-25 22:08 -0400
Re: how WM <wolfgang.mueckenheim@tha.de> - 2024-04-26 17:06 +0000
Re: how Richard Damon <richard@damon-family.org> - 2024-04-26 15:10 -0400
Re: how WM <wolfgang.mueckenheim@tha.de> - 2024-04-27 14:54 +0000
Re: how Richard Damon <richard@damon-family.org> - 2024-04-27 13:38 -0400
Re: how WM <wolfgang.mueckenheim@tha.de> - 2024-04-30 13:00 +0000
Re: how Richard Damon <richard@damon-family.org> - 2024-04-30 18:50 -0400
Re: how WM <wolfgang.mueckenheim@tha.de> - 2024-05-03 13:23 +0000
Re: how WM <wolfgang.mueckenheim@tha.de> - 2024-04-24 17:12 +0000
Re: how Richard Damon <richard@damon-family.org> - 2024-04-23 22:01 -0400
Re: how WM <wolfgang.mueckenheim@tha.de> - 2024-04-24 17:16 +0000
Re: how Moebius <moebius@example.invalid> - 2024-04-24 19:49 +0200
Re: how "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2024-04-24 13:07 -0700
Re: how Moebius <moebius@example.invalid> - 2024-04-24 22:34 +0200
Re: how "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2024-04-24 13:36 -0700
Re: how "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2024-04-24 13:38 -0700
Re: how "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2024-04-24 13:44 -0700
Re: how FromTheRafters <FTR@nomail.afraid.org> - 2024-04-24 19:49 -0400
Re: how "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2024-04-24 17:08 -0700
Re: how Moebius <moebius@example.invalid> - 2024-04-25 02:30 +0200
Re: how Moebius <moebius@example.invalid> - 2024-04-25 02:17 +0200
Re: how Moebius <moebius@example.invalid> - 2024-04-25 02:40 +0200
Re: how "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2024-04-24 17:48 -0700
Re: how "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2024-04-24 17:49 -0700
Re: how Moebius <moebius@example.invalid> - 2024-04-25 03:16 +0200
Re: how Ross Finlayson <ross.a.finlayson@gmail.com> - 2024-04-24 19:55 -0700
Re: how "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2024-04-25 12:10 -0700
Re: how Ross Finlayson <ross.a.finlayson@gmail.com> - 2024-04-25 13:35 -0700
Re: how "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2024-04-26 12:53 -0700
Re: how Moebius <moebius@example.invalid> - 2024-04-25 03:10 +0200
Re: how "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2024-04-25 12:23 -0700
Re: how Moebius <moebius@example.invalid> - 2024-04-26 00:12 +0200
Re: how Moebius <moebius@example.invalid> - 2024-04-26 00:14 +0200
Re: how "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2024-04-25 19:44 -0700
Re: how Moebius <franz.fritsche@yahoo.de> - 2024-04-30 01:12 +0200
Re: how WM <wolfgang.mueckenheim@tha.de> - 2024-04-25 20:06 +0000
Re: how "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2024-04-26 13:01 -0700
Re: how Tom Bola <Tom@bolamail.etc> - 2024-04-26 23:48 +0200
Re: how Richard Damon <richard@damon-family.org> - 2024-04-26 18:01 -0400
Re: how Tom Bola <Tom@bolamail.etc> - 2024-04-27 00:10 +0200
Re: how Richard Damon <richard@damon-family.org> - 2024-04-24 19:13 -0400
Re: how WM <wolfgang.mueckenheim@tha.de> - 2024-04-25 20:20 +0000
Re: how "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2024-04-25 15:01 -0700
Re: how "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2024-04-25 15:07 -0700
Re: how Jim Burns <james.g.burns@att.net> - 2024-04-13 15:16 -0400
Re: how WM <wolfgang.mueckenheim@tha.de> - 2024-04-14 19:12 +0000
Re: how Tom Bola <Tom@bolamail.etc> - 2024-04-14 22:17 +0200
Re: how WM <wolfgang.mueckenheim@tha.de> - 2024-04-15 11:53 +0000
Re: how Tom Bola <Tom@bolamail.etc> - 2024-04-15 15:00 +0200
Re: how "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2024-04-15 12:22 -0700
Re: how Tom Bola <Tom@bolamail.etc> - 2024-04-15 22:13 +0200
Re: how "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2024-04-15 15:45 -0700
Re: how Tom Bola <Tom@bolamail.etc> - 2024-04-16 01:44 +0200
Re: how "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2024-04-15 18:47 -0700
Re: how Mike Terry <news.dead.person.stones@darjeeling.plus.com> - 2024-04-16 01:35 +0100
Re: how WM <wolfgang.mueckenheim@tha.de> - 2024-04-16 15:05 +0000
Re: how Tom Bola <Tom@bolamail.etc> - 2024-04-16 18:14 +0200
Re: how Mike Terry <news.dead.person.stones@darjeeling.plus.com> - 2024-04-16 17:38 +0100
Re: how WM <wolfgang.mueckenheim@tha.de> - 2024-04-16 18:36 +0000
Re: how Tom Bola <Tom@bolamail.etc> - 2024-04-16 21:48 +0200
Re: how WM <wolfgang.mueckenheim@tha.de> - 2024-04-17 18:37 +0000
Re: how Tom Bola <Tom@bolamail.etc> - 2024-04-17 21:38 +0200
Re: how WM <wolfgang.mueckenheim@tha.de> - 2024-04-17 20:30 +0000
Re: how Tom Bola <Tom@bolamail.etc> - 2024-04-17 22:55 +0200
Re: how Tom Bola <Tom@bolamail.etc> - 2024-04-18 01:05 +0200
Re: how Richard Damon <richard@damon-family.org> - 2024-04-17 19:26 -0400
Re: how WM <wolfgang.mueckenheim@tha.de> - 2024-04-18 15:05 +0000
Re: how Tom Bola <Tom@bolamail.etc> - 2024-04-18 17:19 +0200
Re: how Richard Damon <richard@damon-family.org> - 2024-04-18 18:35 -0400
Re: how WM <wolfgang.mueckenheim@tha.de> - 2024-04-19 15:20 +0000
Re: how "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2024-04-19 13:06 -0700
Re: how Tom Bola <Tom@bolamail.etc> - 2024-04-19 22:58 +0200
Re: how "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2024-04-28 16:54 -0700
Re: how Richard Damon <richard@damon-family.org> - 2024-04-19 19:36 -0400
Re: how "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2024-04-19 21:33 -0700
Re: how Richard Damon <richard@damon-family.org> - 2024-04-20 09:10 -0400
Re: how WM <wolfgang.mueckenheim@tha.de> - 2024-04-20 16:40 +0000
Re: how Richard Damon <richard@damon-family.org> - 2024-04-20 13:09 -0400
Re: how WM <wolfgang.mueckenheim@tha.de> - 2024-04-20 18:38 +0000
Re: how Richard Damon <richard@damon-family.org> - 2024-04-20 14:48 -0400
Re: how WM <wolfgang.mueckenheim@tha.de> - 2024-04-22 14:20 +0000
Re: how Moebius <moebius@example.invalid> - 2024-04-22 19:04 +0200
Re: how Richard Damon <richard@damon-family.org> - 2024-04-22 19:04 -0400
Re: how WM <wolfgang.mueckenheim@tha.de> - 2024-04-23 18:45 +0000
Re: how Richard Damon <richard@damon-family.org> - 2024-04-23 22:27 -0400
Re: how Moebius <moebius@example.invalid> - 2024-04-22 19:27 +0200
Re: how WM <wolfgang.mueckenheim@tha.de> - 2024-04-22 17:53 +0000
Re: how Moebius <moebius@example.invalid> - 2024-04-22 20:20 +0200
Re: how Moebius <moebius@example.invalid> - 2024-04-22 20:34 +0200
Re: how WM <wolfgang.mueckenheim@tha.de> - 2024-04-23 18:15 +0000
Re: how WM <wolfgang.mueckenheim@tha.de> - 2024-04-22 18:02 +0000
Re: how "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2024-04-22 18:11 -0700
Re: how WM <wolfgang.mueckenheim@tha.de> - 2024-04-23 18:52 +0000
Re: how FromTheRafters <FTR@nomail.afraid.org> - 2024-04-20 07:34 -0400
Re: how Richard Damon <richard@damon-family.org> - 2024-04-20 09:07 -0400
Re: how Moebius <moebius@example.invalid> - 2024-04-22 19:17 +0200
Re: how Richard Damon <richard@damon-family.org> - 2024-04-16 19:29 -0400
Re: how "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2024-04-16 20:17 -0700
Re: how "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2024-04-16 20:19 -0700
Re: how WM <wolfgang.mueckenheim@tha.de> - 2024-04-17 18:52 +0000
Re: how Richard Damon <richard@damon-family.org> - 2024-04-17 19:30 -0400
Re: how Tom Bola <Tom@bolamail.etc> - 2024-04-18 01:41 +0200
Re: how WM <wolfgang.mueckenheim@tha.de> - 2024-04-18 15:15 +0000
Re: how Tom Bola <Tom@bolamail.etc> - 2024-04-18 17:42 +0200
Re: how WM <wolfgang.mueckenheim@tha.de> - 2024-04-18 15:13 +0000
Re: how Tom Bola <Tom@bolamail.etc> - 2024-04-18 17:29 +0200
Re: how Mike Terry <news.dead.person.stones@darjeeling.plus.com> - 2024-04-18 17:59 +0100
Re: how Tom Bola <Tom@bolamail.etc> - 2024-04-18 19:30 +0200
Re: how WM <wolfgang.mueckenheim@tha.de> - 2024-04-16 14:27 +0000
Re: how Tom Bola <Tom@bolamail.etc> - 2024-04-16 18:09 +0200
Re: how WM <wolfgang.mueckenheim@tha.de> - 2024-04-16 18:40 +0000
Re: how Tom Bola <Tom@bolamail.etc> - 2024-04-16 21:53 +0200
Re: how WM <wolfgang.mueckenheim@tha.de> - 2024-04-17 18:39 +0000
Re: how Jim Burns <james.g.burns@att.net> - 2024-04-14 16:39 -0400
Re: how "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2024-04-14 20:38 -0700
Re: how WM <wolfgang.mueckenheim@tha.de> - 2024-04-15 11:59 +0000
Re: how Jim Burns <james.g.burns@att.net> - 2024-04-15 17:06 -0400
Re: how WM <wolfgang.mueckenheim@tha.de> - 2024-04-16 14:33 +0000
Re: how Tom Bola <Tom@bolamail.etc> - 2024-04-16 18:11 +0200
Re: how Jim Burns <james.g.burns@att.net> - 2024-04-17 18:50 -0400
Re: how WM <wolfgang.mueckenheim@tha.de> - 2024-04-18 14:54 +0000
because g⤨(g⁻¹(x)) = g(y) [1/2] Re: how Jim Burns <james.g.burns@att.net> - 2024-04-18 18:09 -0400
Re: because g⤨(g⁻¹(x)) = g(y) [1/2] Re: how WM <wolfgang.mueckenheim@tha.de> - 2024-04-19 15:05 +0000
Re: because g⤨(g⁻¹(x)) = g(y) [1/2] Re: how Jim Burns <james.g.burns@att.net> - 2024-04-19 15:16 -0400
Re: because g⤨(g⁻¹(x)) = g(y) [1/2] Re: how WM <wolfgang.mueckenheim@tha.de> - 2024-04-20 16:23 +0000
Re: because g⤨(g⁻¹(x)) = g(y) [1/2] Re: how Jim Burns <james.g.burns@att.net> - 2024-04-21 14:08 -0400
Re: because g⤨(g⁻¹(x)) = g(y) [1/2] Re: how WM <wolfgang.mueckenheim@tha.de> - 2024-04-22 15:35 +0000
Re: because g⤨(g⁻¹(x)) = g(y) [1/2] Re: how Moebius <moebius@example.invalid> - 2024-04-22 18:08 +0200
Re: because g⤨(g⁻¹(x)) = g(y) [1/2] Re: how WM <wolfgang.mueckenheim@tha.de> - 2024-04-22 17:45 +0000
Re: because g⤨(g⁻¹(x)) = g(y) [1/2] Re: how Moebius <moebius@example.invalid> - 2024-04-22 20:17 +0200
Re: because g⤨(g⁻¹(x)) = g(y) [1/2] Re: how Richard Damon <richard@damon-family.org> - 2024-04-22 19:07 -0400
Re: because g⤨(g⁻¹(x)) = g(y) [1/2] Re: how Jim Burns <james.g.burns@att.net> - 2024-04-22 13:32 -0400
Re: because g⤨(g⁻¹(x)) = g(y) [1/2] Re: how WM <wolfgang.mueckenheim@tha.de> - 2024-04-22 17:56 +0000
Re: because g⤨(g⁻¹(x)) = g(y) [1/2] Re: how Jim Burns <james.g.burns@att.net> - 2024-04-22 23:51 -0400
Re: because g⤨(g⁻¹(x)) = g(y) [1/2] Re: how WM <wolfgang.mueckenheim@tha.de> - 2024-04-23 18:57 +0000
Re: because g⤨(g⁻¹(x)) = g(y) [1/2] Re: how Jim Burns <james.g.burns@att.net> - 2024-04-23 15:55 -0400
Re: because g⤨(g⁻¹(x)) = g(y) [1/2] Re: how WM <wolfgang.mueckenheim@tha.de> - 2024-04-24 16:57 +0000
Re: because g⤨(g⁻¹(x)) = g(y) [1/2] Re: how Moebius <moebius@example.invalid> - 2024-04-24 20:01 +0200
Re: because g⤨(g⁻¹(x)) = g(y) [1/2] Re: how WM <wolfgang.mueckenheim@tha.de> - 2024-04-25 19:43 +0000
Re: because g⤨(g⁻¹(x)) = g(y) [1/2] Re: how Jim Burns <james.g.burns@att.net> - 2024-04-24 15:42 -0400
Re: because g⤨(g⁻¹(x)) = g(y) [1/2] Re: how WM <wolfgang.mueckenheim@tha.de> - 2024-04-25 20:03 +0000
Re: because g?(g?¹(x)) = g(y) [1/2] Re: how FromTheRafters <FTR@nomail.afraid.org> - 2024-04-25 19:09 -0400
Re: because g⤨(g⁻¹(x)) = g(y) [1/2] Re: how Jim Burns <james.g.burns@att.net> - 2024-04-25 19:11 -0400
Re: because g⤨(g⁻¹(x)) = g(y) [1/2] Re: how Moebius <moebius@example.invalid> - 2024-04-26 01:57 +0200
Re: because g⤨(g⁻¹(x)) = g(y) [1/2] Re: how WM <wolfgang.mueckenheim@tha.de> - 2024-04-26 14:37 +0000
Re: because g⤨(g⁻¹(x)) = g(y) [1/2] Re: how Jim Burns <james.g.burns@att.net> - 2024-04-26 14:53 -0400
Re: because g⤨(g⁻¹(x)) = g(y) [1/2] Re: how Tom Bola <Tom@bolamail.etc> - 2024-04-26 21:27 +0200
Re: because g⤨(g⁻¹(x)) = g(y) [1/2] Re: how Jim Burns <james.g.burns@att.net> - 2024-05-01 18:46 -0400
Re: because g⤨(g⁻¹(x)) = g(y) [1/2] Re: how Tom Bola <Tom@bolamail.etc> - 2024-05-02 01:32 +0200
Re: because g⤨(g⁻¹(x)) = g(y) [1/2] Re: how Jim Burns <james.g.burns@att.net> - 2024-05-02 14:00 -0400
Re: because g⤨(g⁻¹(x)) = g(y) [1/2] Re: how Tom Bola <Tom@bolamail.etc> - 2024-05-02 20:49 +0200
Re: because g⤨(g⁻¹(x)) = g(y) [1/2] Re: how Jim Burns <james.g.burns@att.net> - 2024-05-03 05:07 -0400
Re: because g⤨(g⁻¹(x)) = g(y) [1/2] Re: how Tom Bola <Tom@bolamail.etc> - 2024-05-03 15:07 +0200
Re: because g⤨(g⁻¹(x)) = g(y) [1/2] Re: how WM <wolfgang.mueckenheim@tha.de> - 2024-05-03 13:57 +0000
Re: because g⤨(g⁻¹(x)) = g(y) [1/2] Re: how Tom Bola <Tom@bolamail.etc> - 2024-05-03 16:09 +0200
Re: because g⤨(g⁻¹(x)) = g(y) [1/2] Re: how WM <wolfgang.mueckenheim@tha.de> - 2024-05-03 14:12 +0000
Re: because g⤨(g⁻¹(x)) = g(y) [1/2] Re: how Tom Bola <Tom@bolamail.etc> - 2024-05-03 16:15 +0200
Re: because g⤨(g⁻¹(x)) = g(y) [1/2] Re: how "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2024-05-03 14:49 -0700
Re: because g⤨(g⁻¹(x)) = g(y) [1/2] Re: how Jim Burns <james.g.burns@att.net> - 2024-05-03 15:32 -0400
Re: because g⤨(g⁻¹(x)) = g(y) [1/2] Re: how WM <wolfgang.mueckenheim@tha.de> - 2024-05-03 20:31 +0000
Re: because g⤨(g⁻¹(x)) = g(y) [1/2] Re: how "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2024-05-03 14:50 -0700
Re: because g⤨(g⁻¹(x)) = g(y) [1/2] Re: how Jim Burns <james.g.burns@att.net> - 2024-05-03 19:01 -0400
Re: because g⤨(g⁻¹(x)) = g(y) [1/2] Re: how Jim Burns <james.g.burns@att.net> - 2024-05-05 13:59 -0400
Re: because g⤨(g⁻¹(x)) = g(y) [1/2] Re: how Ross Finlayson <ross.a.finlayson@gmail.com> - 2024-05-05 11:30 -0700
Re: because g⤨(g⁻¹(x)) = g(y) [1/2] Re: how Jim Burns <james.g.burns@att.net> - 2024-05-05 18:02 -0400
Re: because g⤨(g⁻¹(x)) = g(y) [1/2] Re: how Ross Finlayson <ross.a.finlayson@gmail.com> - 2024-05-06 12:36 -0700
Re: because g⤨(g⁻¹(x)) = g(y) [1/2] Re: how Jim Burns <james.g.burns@att.net> - 2024-05-06 16:15 -0400
Re: universal quantification, because g⤨(g⁻¹(x)) = g(y) [1/2] Re: how Ross Finlayson <ross.a.finlayson@gmail.com> - 2024-05-07 13:22 -0700
Re: universal quantification, because g⤨(g⁻¹(x)) = g(y) [1/2] Re: how Jim Burns <james.g.burns@att.net> - 2024-05-08 14:40 -0400
Re: universal quantification, because g⤨(g⁻¹(x)) = g(y) [1/2] Re: how Ross Finlayson <ross.a.finlayson@gmail.com> - 2024-05-08 13:20 -0700
Re: universal quantification, because g⤨(g⁻¹(x)) = g(y) [1/2] Re: how Jim Burns <james.g.burns@att.net> - 2024-05-08 17:14 -0400
Re: universal quantification, because g⤨(g⁻¹(x)) = g(y) [1/2] Re: how Ross Finlayson <ross.a.finlayson@gmail.com> - 2024-05-09 12:56 -0700
Re: universal quantification, because g⤨(g⁻¹(x)) = g(y) [1/2] Re: how Jim Burns <james.g.burns@att.net> - 2024-05-09 18:55 -0400
Re: universal quantification, because g⤨(g⁻¹(x)) = g(y) [1/2] Re: how Ross Finlayson <ross.a.finlayson@gmail.com> - 2024-05-09 18:45 -0700
Re: universal quantification, because g⤨(g⁻¹(x)) = g(y) [1/2] Re: how Jim Burns <james.g.burns@att.net> - 2024-05-10 06:59 -0400
Re: universal quantification, because g⤨(g⁻¹(x)) = g(y) [1/2] Re: how Ross Finlayson <ross.a.finlayson@gmail.com> - 2024-05-10 13:12 -0700
Re: universal quantification, because g⤨(g⁻¹(x)) = g(y) [1/2] Re: how Jim Burns <james.g.burns@att.net> - 2024-05-10 18:26 -0400
Re: universal quantification, because g⤨(g⁻¹(x)) = g(y) [1/2] Re: how Ross Finlayson <ross.a.finlayson@gmail.com> - 2024-05-10 17:17 -0700
Re: universal quantification, because g⤨(g⁻¹(x)) = g(y) [1/2] Re: how Jim Burns <james.g.burns@att.net> - 2024-05-11 04:18 -0400
Re: universal quantification, because g⤨(g⁻¹(x)) = g(y) [1/2] Re: how Ross Finlayson <ross.a.finlayson@gmail.com> - 2024-05-11 06:38 -0700
Re: universal quantification, because g⤨(g⁻¹(x)) = g(y) [1/2] Re: how Jim Burns <james.g.burns@att.net> - 2024-05-11 10:40 -0400
Re: universal quantification, because g⤨(g⁻¹(x)) = g(y) [1/2] Re: how Ross Finlayson <ross.a.finlayson@gmail.com> - 2024-05-11 08:47 -0700
Re: universal quantification, because g⤨(g⁻¹(x)) = g(y) [1/2] Re: how Jim Burns <james.g.burns@att.net> - 2024-05-11 15:24 -0400
Re: universal quantification, because g⤨(g⁻¹(x)) = g(y) [1/2] Re: how Ross Finlayson <ross.a.finlayson@gmail.com> - 2024-05-11 14:05 -0700
Re: universal quantification, because g⤨(g⁻¹(x)) = g(y) [1/2] Re: how Ross Finlayson <ross.a.finlayson@gmail.com> - 2024-05-11 14:44 -0700
Re: universal quantification, because g⤨(g⁻¹(x)) = g(y) [1/2] Re: how Ross Finlayson <ross.a.finlayson@gmail.com> - 2024-05-11 16:11 -0700
Re: universal quantification, because g⤨(g⁻¹(x)) = g(y) [1/2] Re: how Jim Burns <james.g.burns@att.net> - 2024-05-11 19:47 -0400
Re: universal quantification, because g⤨(g⁻¹(x)) = g(y) [1/2] Re: how Ross Finlayson <ross.a.finlayson@gmail.com> - 2024-05-11 18:17 -0700
Re: universal quantification, because g⤨(g⁻¹(x)) = g(y) [1/2] Re: how Ross Finlayson <ross.a.finlayson@gmail.com> - 2024-05-11 18:44 -0700
Re: universal quantification, because g⤨(g⁻¹(x)) = g(y) [1/2] Re: how Jim Burns <james.g.burns@att.net> - 2024-05-11 19:25 -0400
Re: universal quantification, because g?(g?¹(x)) = g(y) [1/2] Re: how FromTheRafters <FTR@nomail.afraid.org> - 2024-05-11 07:02 -0400
Re: universal quantification, because g?(g?¹(x)) = g(y) [1/2] Re: how Ross Finlayson <ross.a.finlayson@gmail.com> - 2024-05-11 06:44 -0700
Re: because g⤨(g⁻¹(x)) = g(y) [1/2] Re: how WM <wolfgang.mueckenheim@tha.de> - 2024-05-06 18:59 +0000
Re: because g⤨(g⁻¹(x)) = g(y) [1/2] Re: how Jim Burns <james.g.burns@att.net> - 2024-05-06 16:16 -0400
Re: because g⤨(g⁻¹(x)) = g(y) [1/2] Re: how WM <wolfgang.mueckenheim@tha.de> - 2024-05-06 20:28 +0000
Re: because g⤨(g⁻¹(x)) = g(y) [1/2] Re: how Jim Burns <james.g.burns@att.net> - 2024-05-06 18:11 -0400
Re: because g⤨(g⁻¹(x)) = g(y) [1/2] Re: how WM <wolfgang.mueckenheim@tha.de> - 2024-05-08 19:55 +0000
Re: because g⤨(g⁻¹(x)) = g(y) [1/2] Re: how Jim Burns <james.g.burns@att.net> - 2024-05-08 17:55 -0400
Re: because g⤨(g⁻¹(x)) = g(y) [1/2] Re: how Moebius <invalid@example.invalid> - 2024-05-09 02:27 +0200
Re: because g⤨(g⁻¹(x)) = g(y) [1/2] Re: how Moebius <invalid@example.invalid> - 2024-05-09 02:54 +0200
Re: because g⤨(g⁻¹(x)) = g(y) [1/2] Re: how Moebius <invalid@example.invalid> - 2024-05-09 03:11 +0200
Re: because g⤨(g⁻¹(x)) = g(y) [1/2] Re: how WM <wolfgang.mueckenheim@tha.de> - 2024-05-10 12:24 +0000
Re: because g⤨(g⁻¹(x)) = g(y) [1/2] Re: how Jim Burns <james.g.burns@att.net> - 2024-05-08 21:14 -0400
Re: because g⤨(g⁻¹(x)) = g(y) [1/2] Re: how Moebius <invalid@example.invalid> - 2024-05-09 02:35 +0200
Re: because g⤨(g⁻¹(x)) = g(y) [1/2] Re: how Moebius <invalid@example.invalid> - 2024-05-09 02:42 +0200
Re: because g⤨(g⁻¹(x)) = g(y) [1/2] Re: how Jim Burns <james.g.burns@att.net> - 2024-05-08 21:14 -0400
Re: because g⤨(g⁻¹(x)) = g(y) [1/2] Re: how WM <wolfgang.mueckenheim@tha.de> - 2024-05-10 12:31 +0000
Re: because g⤨(g⁻¹(x)) = g(y) [1/2] Re: how WM <wolfgang.mueckenheim@tha.de> - 2024-05-10 12:18 +0000
Re: because g?(g?¹(x)) = g(y) [1/2] Re: how FromTheRafters <FTR@nomail.afraid.org> - 2024-05-10 10:59 -0400
Re: because g⤨(g⁻¹(x)) = g(y) [1/2] Re: how Jim Burns <james.g.burns@att.net> - 2024-05-10 14:56 -0400
Re: because g⤨(g⁻¹(x)) = g(y) [1/2] Re: how Moebius <invalid@example.invalid> - 2024-05-10 21:34 +0200
Re: because g⤨(g⁻¹(x)) = g(y) [1/2] Re: how Jim Burns <james.g.burns@att.net> - 2024-05-10 19:44 -0400
Re: because g⤨(g⁻¹(x)) = g(y) [1/2] Re: how Moebius <invalid@example.invalid> - 2024-05-11 05:00 +0200
Re: because g⤨(g⁻¹(x)) = g(y) [1/2] Re: how Moebius <invalid@example.invalid> - 2024-05-11 05:32 +0200
Re: because g⤨(g⁻¹(x)) = g(y) [1/2] Re: how Jim Burns <james.g.burns@att.net> - 2024-05-11 14:49 -0400
Re: because g⤨(g⁻¹(x)) = g(y) [1/2] Re: how Jim Burns <james.g.burns@att.net> - 2024-05-11 17:01 -0400
Re: because g⤨(g⁻¹(x)) = g(y) [1/2] Re: how Moebius <invalid@example.invalid> - 2024-05-11 05:26 +0200
Re: because g⤨(g⁻¹(x)) = g(y) [1/2] Re: how "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2024-05-10 13:31 -0700
Re: because g⤨(g⁻¹(x)) = g(y) [1/2] Re: how "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2024-05-10 13:37 -0700
Re: because g?(g?¹(x)) = g(y) [1/2] Re: how FromTheRafters <FTR@nomail.afraid.org> - 2024-05-10 17:25 -0400
Re: because g?(g?¹(x)) = g(y) [1/2] Re: how "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2024-05-10 15:28 -0700
Re: universal quantifiers, because g⤨(g⁻¹(x)) = g(y) [1/2] Re: how Ross Finlayson <ross.a.finlayson@gmail.com> - 2024-05-06 18:00 -0700
Re: universal quantifiers, because g⤨(g⁻¹(x)) = g(y) [1/2] Re: how "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2024-05-06 18:34 -0700
Re: universal quantifiers, because g⤨(g⁻¹(x)) = g(y) [1/2] Re: how Jim Burns <james.g.burns@att.net> - 2024-05-07 15:16 -0400
Re: universal quantifiers, because g?(g?¹(x)) = g(y) [1/2] Re: how FromTheRafters <FTR@nomail.afraid.org> - 2024-05-07 17:28 -0400
Re: universal quantifiers, because g?(g?¹(x)) = g(y) [1/2] Re: how Ross Finlayson <ross.a.finlayson@gmail.com> - 2024-05-07 20:29 -0700
Re: universal quantifiers, because g?(g?¹(x)) = g(y) [1/2] Re: how Ross Finlayson <ross.a.finlayson@gmail.com> - 2024-05-07 20:56 -0700
Re: universal quantifiers, because g?(g?¹(x)) = g(y) [1/2] Re: how Ross Finlayson <ross.a.finlayson@gmail.com> - 2024-05-07 21:25 -0700
Re: universal quantifiers, because g?(g?¹(x)) = g(y) [1/2] Re: how FromTheRafters <FTR@nomail.afraid.org> - 2024-05-08 06:06 -0400
Re: universal quantifiers, because g?(g?¹(x)) = g(y) [1/2] Re: how Ross Finlayson <ross.a.finlayson@gmail.com> - 2024-05-08 13:18 -0700
Re: because g⤨(g⁻¹(x)) = g(y) [1/2] Re: how Richard Damon <richard@damon-family.org> - 2024-05-06 20:52 -0400
Re: because g⤨(g⁻¹(x)) = g(y) [1/2] Re: how "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2024-05-06 18:32 -0700
Re: because g⤨(g⁻¹(x)) = g(y) [1/2] Re: how Moebius <invalid@example.invalid> - 2024-05-06 02:10 +0200
Re: because g⤨(g⁻¹(x)) = g(y) [1/2] Re: how WM <wolfgang.mueckenheim@tha.de> - 2024-05-06 19:00 +0000
Re: because g⤨(g⁻¹(x)) = g(y) [1/2] Re: how Richard Damon <richard@damon-family.org> - 2024-05-03 23:31 -0400
Re: because g⤨(g⁻¹(x)) = g(y) [1/2] Re: how Moebius <invalid@example.invalid> - 2024-05-04 22:09 +0200
Re: because g⤨(g⁻¹(x))= g(y) [1/2] Re: how WM <wolfgang.mueckenheim@tha.de> - 2024-05-03 13:47 +0000
Re: because g⤨(g⁻¹(x)) = g(y) [1/2] Re: how WM <wolfgang.mueckenheim@tha.de> - 2024-05-03 13:45 +0000
Re: because g⤨(g⁻¹(x)) = g(y) [1/2] Re: how "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2024-05-03 15:03 -0700
Re: because g⤨(g⁻¹(x))= g(y) [1/2] Re: how WM <wolfgang.mueckenheim@tha.de> - 2024-05-03 13:41 +0000
Re: because g⤨(g⁻¹(x))= g(y) [1/2] Re: how Tom Bola <Tom@bolamail.etc> - 2024-05-03 16:06 +0200
Re: because g⤨(g⁻¹(x))= g(y) [1/2] Re: how Ross Finlayson <ross.a.finlayson@gmail.com> - 2024-05-03 12:42 -0700
Re: because g⤨(g⁻¹(x))= g(y) [1/2] Re: how Tom Bola <Tom@bolamail.etc> - 2024-05-03 22:43 +0200
Re: because g⤨(g⁻¹(x))= g(y) [1/2] Re: how Ross Finlayson <ross.a.finlayson@gmail.com> - 2024-05-03 19:09 -0700
Re: because g⤨(g⁻¹(x))= g(y) [1/2] Re: how Jim Burns <james.g.burns@att.net> - 2024-05-06 13:21 -0400
Re: because g⤨(g⁻¹(x))= g(y) [1/2] Re: how Richard Damon <richard@damon-family.org> - 2024-05-03 23:41 -0400
Re: because g⤨(g⁻¹(x))= g(y) [1/2] Re: how WM <wolfgang.mueckenheim@tha.de> - 2024-05-06 19:05 +0000
Re: because g⤨(g⁻¹(x)) = g(y) [1/2] Re: how WM <wolfgang.mueckenheim@tha.de> - 2024-05-03 13:35 +0000
Re: because g⤨(g⁻¹(x)) = g(y) [1/2] Re: how WM <wolfgang.mueckenheim@tha.de> - 2024-04-27 14:39 +0000
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