Groups | Search | Server Info | Keyboard shortcuts | Login | Register [http] [https] [nntp] [nntps]


Groups > sci.math > #630964

Re: How many different unit fractions are lessorequal than all unit fractions?

From Richard Damon <richard@damon-family.org>
Newsgroups sci.math
Subject Re: How many different unit fractions are lessorequal than all unit fractions?
Date 2024-09-02 13:19 -0400
Organization i2pn2 (i2pn.org)
Message-ID <0da78c91e9bc2e4dc5de13bd16e4037ceb8bdfd4@i2pn2.org> (permalink)
References <vb4rde$22fb4$2@solani.org>

Show all headers | View raw


On 9/2/24 1:07 PM, WM wrote:
> How many different unit fractions are lessorequal than all unit 
> fractions? The correct answer is: one unit fraction. If you claim more 
> than one (two or three or infintely many), then these more must be 
> equal. But different unit fractions are different and not equal to each 
> other.
> 
> Another answer is that no unit fraction is lessorequal than all unit 
> fractions. That means the function NUF(x)
> Number of UnitFractions between 0 and x > 0
> with NUF(0) = 0 will never increase but stay at 0. There are no unit 
> fractions existing at all.
> 
> Therefore there is only the one correct answer given above.
> 
> Regards, WM
> 

Nope, because there does not exist AHY unit fraction that is less than 
or equal to ALL Unit fractions, as any unit fraction you might claim to 
be that one has a unit fraction smaller than itself, so it wasn't the 
smallest.

The problem with your NUF, is that it is trying to count something from 
and uncountable end, one that doesn't actually have an end.

Thus, if we try to find a value of y such that y = NUF(x) where x is > 0 
but also a finite value, we find that such NUF doesn't exist, because it 
has an essentially inconsistant definition.

Your logic that tries to make it valid has just blown up your mind into 
smithereens.

Back to sci.math | Previous | NextPrevious in thread | Next in thread | Find similar


Thread

How many different unit fractions are lessorequal than all unit fractions? WM <wolfgang.mueckenheim@tha.de> - 2024-09-02 19:07 +0200
  Re: How many different unit fractions are lessorequal than all unit fractions? Richard Damon <richard@damon-family.org> - 2024-09-02 13:19 -0400
    Re: How many different unit fractions are lessorequal than all unit fractions? WM <wolfgang.mueckenheim@tha.de> - 2024-09-02 22:37 +0200
      Re: How many different unit fractions are lessorequal than all unit fractions? Richard Damon <richard@damon-family.org> - 2024-09-02 17:43 -0400
        Re: How many different unit fractions are lessorequal than all unit fractions? WM <wolfgang.mueckenheim@tha.de> - 2024-09-03 12:17 +0200
          Re: How many different unit fractions are lessorequal than all unit fractions? Richard Damon <richard@damon-family.org> - 2024-09-03 07:29 -0400
            Re: How many different unit fractions are lessorequal than all unit fractions? WM <wolfgang.mueckenheim@tha.de> - 2024-09-03 13:56 +0200
              Re: How many different unit fractions are lessorequal than all unit fractions? Richard Damon <richard@damon-family.org> - 2024-09-03 23:05 -0400
      Re: How many different unit fractions are lessorequal than all unit fractions? Jim Burns <james.g.burns@att.net> - 2024-09-03 00:25 -0400
        Re: How many different unit fractions are lessorequal than all unit fractions? WM <wolfgang.mueckenheim@tha.de> - 2024-09-03 12:22 +0200
          Re: How many different unit fractions are lessorequal than all unit fractions? Jim Burns <james.g.burns@att.net> - 2024-09-03 13:50 -0400
            Re: How many different unit fractions are lessorequal than all unit fractions? WM <wolfgang.mueckenheim@tha.de> - 2024-09-04 21:10 +0200
              Re: How many different unit fractions are lessorequal than all unit fractions? Jim Burns <james.g.burns@att.net> - 2024-09-04 16:52 -0400
                Re: How many different unit fractions are lessorequal than all unit  fractions? WM <wolfgang.mueckenheim@tha.de> - 2024-09-05 13:53 +0000
                Re: How many different unit fractions are lessorequal than all unit fractions? Jim Burns <james.g.burns@att.net> - 2024-09-05 14:56 -0400
                Re: How many different unit fractions are lessorequal than all unit fractions? WM <wolfgang.mueckenheim@tha.de> - 2024-09-05 22:44 +0200
                Re: How many different unit fractions are lessorequal than all unit fractions? Python <python@invalid.org> - 2024-09-06 00:36 +0200
                Re: How many different unit fractions are lessorequal than all unit fractions? Moebius <invalid@example.invalid> - 2024-09-06 00:45 +0200
                Re: How many different unit fractions are lessorequal than all unit fractions? Moebius <invalid@example.invalid> - 2024-09-06 00:46 +0200
                Re: How many different unit fractions are lessorequal than all unit fractions? Moebius <invalid@example.invalid> - 2024-09-06 00:49 +0200
                Re: How many different unit fractions are lessorequal than all unit fractions? Moebius <invalid@example.invalid> - 2024-09-06 00:50 +0200
                Re: How many different unit fractions are lessorequal than all unit fractions? WM <wolfgang.mueckenheim@tha.de> - 2024-09-06 14:24 +0200
                Re: How many different unit fractions are lessorequal than all unit fractions? Richard Damon <richard@damon-family.org> - 2024-09-06 22:01 -0400
                Re: How many different unit fractions are lessorequal than all unit fractions? WM <wolfgang.mueckenheim@tha.de> - 2024-09-06 14:22 +0200
                Re: How many different unit fractions are lessorequal than all unit fractions? joes <noreply@example.org> - 2024-09-06 12:26 +0000
                Re: How many different unit fractions are lessorequal than all unit fractions? WM <wolfgang.mueckenheim@tha.de> - 2024-09-06 14:29 +0200
                Re: How many different unit fractions are lessorequal than all unit fractions? Python <python@invalid.org> - 2024-09-06 15:42 +0200
                Re: How many different unit fractions are lessorequal than all unit fractions? WM <wolfgang.mueckenheim@tha.de> - 2024-09-06 22:42 +0200
                Re: How many different unit fractions are lessorequal than all unit fractions? Python <python@invalid.org> - 2024-09-07 11:19 +0200
                Re: How many different unit fractions are lessorequal than all unit fractions? WM <wolfgang.mueckenheim@tha.de> - 2024-09-07 12:50 +0200
                Re: How many different unit fractions are lessorequal than all unit fractions? joes <noreply@example.org> - 2024-09-07 11:56 +0000
                Re: How many different unit fractions are lessorequal than all unit fractions? Moebius <invalid@example.invalid> - 2024-09-07 13:29 +0200
                Re: How many different unit fractions are lessorequal than all unit fractions? Moebius <invalid@example.invalid> - 2024-09-07 13:36 +0200
                Re: How many different unit fractions are lessorequal than all unit fractions? WM <wolfgang.mueckenheim@tha.de> - 2024-09-07 15:07 +0200
                Re: How many different unit fractions are lessorequal than all unit fractions? Richard Damon <richard@damon-family.org> - 2024-09-07 09:21 -0400
                Re: How many different unit fractions are lessorequal than all unit fractions? WM <wolfgang.mueckenheim@tha.de> - 2024-09-07 15:33 +0200
                Re: How many different unit fractions are lessorequal than all unit fractions? Richard Damon <richard@damon-family.org> - 2024-09-07 10:49 -0400
                Re: How many different unit fractions are lessorequal than all unit fractions? WM <wolfgang.mueckenheim@tha.de> - 2024-09-08 21:48 +0200
                Re: How many different unit fractions are lessorequal than all unit fractions? Richard Damon <richard@damon-family.org> - 2024-09-08 16:11 -0400
                Re: How many different unit fractions are lessorequal than all unit fractions? WM <wolfgang.mueckenheim@tha.de> - 2024-09-09 12:27 +0200
                Re: How many different unit fractions are lessorequal than all unit fractions? Richard Damon <richard@damon-family.org> - 2024-09-09 07:32 -0400
                Re: How many different unit fractions are lessorequal than all unit fractions? WM <wolfgang.mueckenheim@tha.de> - 2024-09-09 16:53 +0200
                Re: How many different unit fractions are lessorequal than all unit fractions? joes <noreply@example.org> - 2024-09-09 15:15 +0000
                Re: How many different unit fractions are lessorequal than all unit fractions? WM <wolfgang.mueckenheim@tha.de> - 2024-09-09 17:32 +0200
                Re: How many different unit fractions are lessorequal than all unit fractions? joes <noreply@example.org> - 2024-09-09 15:49 +0000
                Re: How many different unit fractions are lessorequal than all unit fractions? WM <wolfgang.mueckenheim@tha.de> - 2024-09-09 21:03 +0200
                Re: quantifier order joes <noreply@example.org> - 2024-09-09 19:55 +0000
                Re: quantifier order WM <wolfgang.mueckenheim@tha.de> - 2024-09-10 18:24 +0200
                Re: quantifier order Richard Damon <richard@damon-family.org> - 2024-09-10 21:37 -0400
                Re: How many different unit fractions are lessorequal than all unit fractions? Richard Damon <richard@damon-family.org> - 2024-09-10 07:41 -0400
                Re: How many different unit fractions are lessorequal than all unit fractions? Richard Damon <richard@damon-family.org> - 2024-09-10 07:41 -0400
                Re: How many different unit fractions are lessorequal than all unit fractions? WM <wolfgang.mueckenheim@tha.de> - 2024-09-10 21:03 +0200
                Re: How many different unit fractions are lessorequal than all unit fractions? Richard Damon <richard@damon-family.org> - 2024-09-10 21:37 -0400
                Re: How many different unit fractions are lessorequal than all unit fractions? joes <noreply@example.org> - 2024-09-09 11:49 +0000
                Re: How many different unit fractions are lessorequal than all unit fractions? WM <wolfgang.mueckenheim@tha.de> - 2024-09-09 17:08 +0200
                Re: How many different unit fractions are lessorequal than all unit fractions? joes <noreply@example.org> - 2024-09-09 16:02 +0000
                Re: How many different unit fractions are lessorequal than all unit fractions? Moebius <invalid@example.invalid> - 2024-09-09 18:32 +0200
                Re: How many different unit fractions are lessorequal than all unit fractions? Moebius <invalid@example.invalid> - 2024-09-09 21:25 +0200
                Re: How many different unit fractions are lessorequal than all unit fractions? Richard Damon <richard@damon-family.org> - 2024-09-10 21:37 -0400
                Re: How many different unit fractions are lessorequal than all unit fractions? joes <noreply@example.org> - 2024-09-08 20:25 +0000
                Re: How many different unit fractions are lessorequal than all unit fractions? Moebius <invalid@example.invalid> - 2024-09-08 22:29 +0200
                Re: How many different unit fractions are lessorequal than all unit fractions? WM <wolfgang.mueckenheim@tha.de> - 2024-09-09 12:22 +0200
                Re: How many different unit fractions are lessorequal than all unit fractions? Richard Damon <richard@damon-family.org> - 2024-09-09 07:40 -0400
                Re: How many different unit fractions are lessorequal than all unit fractions? joes <noreply@example.org> - 2024-09-09 11:46 +0000
                Re: How many different unit fractions are lessorequal than all unit fractions? WM <wolfgang.mueckenheim@tha.de> - 2024-09-09 16:57 +0200
                Re: How many different unit fractions are lessorequal than all unit fractions? joes <noreply@example.org> - 2024-09-09 15:15 +0000
                Re: How many different unit fractions are lessorequal than all unit fractions? Richard Damon <richard@damon-family.org> - 2024-09-10 07:49 -0400
                Re: How many different unit fractions are lessorequal than all unit fractions? WM <wolfgang.mueckenheim@tha.de> - 2024-09-10 21:05 +0200
                Re: How many different unit fractions are lessorequal than all unit fractions? Richard Damon <richard@damon-family.org> - 2024-09-10 21:24 -0400
                Re: How many different unit fractions are lessorequal than all unit fractions? "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2024-09-09 16:08 -0700
                Re: How many different unit fractions are lessorequal than all unit fractions? Moebius <invalid@example.invalid> - 2024-09-10 02:32 +0200
                Re: How many different unit fractions are lessorequal than all unit fractions? Moebius <invalid@example.invalid> - 2024-09-10 02:36 +0200
                Re: How many different unit fractions are lessorequal than all unit fractions? "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2024-09-10 11:35 -0700
                Re: How many different unit fractions are lessorequal than all unit fractions? "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2024-09-10 11:38 -0700
                Re: How many different unit fractions are lessorequal than all unit fractions? WM <wolfgang.mueckenheim@tha.de> - 2024-09-10 21:13 +0200
                Re: density of the reals joes <noreply@example.org> - 2024-09-11 06:05 +0000
                Re: density of the reals WM <wolfgang.mueckenheim@tha.de> - 2024-09-11 16:33 +0200
                Re: How many different unit fractions are lessorequal than all unit fractions? Moebius <invalid@example.invalid> - 2024-09-10 21:30 +0200
                Re: How many different unit fractions are lessorequal than all unit fractions? "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2024-09-10 13:33 -0700
                Re: How many different unit fractions are lessorequal than all unit fractions? Moebius <invalid@example.invalid> - 2024-09-10 22:38 +0200
                Re: How many different unit fractions are lessorequal than all unit fractions? "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2024-09-10 13:48 -0700
                Re: How many different unit fractions are lessorequal than all unit fractions? "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2024-09-10 13:49 -0700
                Re: How many different unit fractions are lessorequal than all unit fractions? "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2024-09-10 13:56 -0700
                Re: How many different unit fractions are lessorequal than all unit fractions? Moebius <invalid@example.invalid> - 2024-09-10 21:27 +0200
                Re: How many different unit fractions are lessorequal than all unit fractions? "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2024-09-10 13:54 -0700
                Re: How many different unit fractions are lessorequal than all unit fractions? FromTheRafters <FTR@nomail.afraid.org> - 2024-09-09 06:12 -0400
                Re: How many different unit fractions are lessorequal than all unit fractions? WM <wolfgang.mueckenheim@tha.de> - 2024-09-07 14:04 +0200
                Re: How many different unit fractions are lessorequal than all unit fractions? Richard Damon <richard@damon-family.org> - 2024-09-07 08:37 -0400
                Re: How many different unit fractions are lessorequal than all unit fractions? WM <wolfgang.mueckenheim@tha.de> - 2024-09-07 15:03 +0200
                Re: How many different unit fractions are lessorequal than all unit fractions? Richard Damon <richard@damon-family.org> - 2024-09-07 09:26 -0400
                Re: How many different unit fractions are lessorequal than all unit fractions? joes <noreply@example.org> - 2024-09-07 13:37 +0000
                Re: How many different unit fractions are lessorequal than all unit fractions? WM <wolfgang.mueckenheim@tha.de> - 2024-09-07 15:45 +0200
                Re: How many different unit fractions are lessorequal than all unit fractions? Richard Damon <richard@damon-family.org> - 2024-09-07 10:51 -0400
                Re: How many different unit fractions are lessorequal than all unit fractions? Python <python@invalid.org> - 2024-09-07 16:58 +0200
                Re: How many different unit fractions are lessorequal than all unit fractions? WM <wolfgang.mueckenheim@tha.de> - 2024-09-08 21:52 +0200
                Re: How many different unit fractions are lessorequal than all unit fractions? Richard Damon <richard@damon-family.org> - 2024-09-08 16:11 -0400
                Re: How many different unit fractions are lessorequal than all unit fractions? WM <wolfgang.mueckenheim@tha.de> - 2024-09-09 12:31 +0200
                Re: How many different unit fractions are lessorequal than all unit fractions? Richard Damon <richard@damon-family.org> - 2024-09-09 07:47 -0400
                Re: How many different unit fractions are lessorequal than all unit fractions? WM <wolfgang.mueckenheim@tha.de> - 2024-09-09 17:01 +0200
                Re: How many different unit fractions are lessorequal than all unit fractions? joes <noreply@example.org> - 2024-09-09 15:14 +0000
                Re: How many different unit fractions are lessorequal than all unit fractions? WM <wolfgang.mueckenheim@tha.de> - 2024-09-09 17:26 +0200
                Re: How many different unit fractions are lessorequal than all unit fractions? joes <noreply@example.org> - 2024-09-09 15:51 +0000
                Re: How many different unit fractions are lessorequal than all unit fractions? WM <wolfgang.mueckenheim@tha.de> - 2024-09-09 21:07 +0200
                Re: How many different unit fractions are lessorequal than all unit fractions? joes <noreply@example.org> - 2024-09-10 05:59 +0000
                Re: How many different unit fractions are lessorequal than all unit fractions? Richard Damon <richard@damon-family.org> - 2024-09-10 07:59 -0400
                Re: How many different unit fractions are lessorequal than all unit fractions? WM <wolfgang.mueckenheim@tha.de> - 2024-09-10 21:07 +0200
                Re: How many different unit fractions are lessorequal than all unit fractions? Richard Damon <richard@damon-family.org> - 2024-09-10 21:53 -0400
                Re: How many different unit fractions are lessorequal than all unit fractions? Richard Damon <richard@damon-family.org> - 2024-09-10 07:54 -0400
                Re: How many different unit fractions are lessorequal than all unit fractions? "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2024-09-09 15:50 -0700
                Re: How many different unit fractions are lessorequal than all unit fractions? "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2024-09-09 15:57 -0700
                Re: How many different unit fractions are lessorequal than all unit fractions? Richard Damon <richard@damon-family.org> - 2024-09-10 07:52 -0400
                Re: How many different unit fractions are lessorequal than all unit fractions? joes <noreply@example.org> - 2024-09-09 11:51 +0000
                Re: How many different unit fractions are lessorequal than all unit fractions? WM <wolfgang.mueckenheim@tha.de> - 2024-09-09 17:19 +0200
                Re: How many different unit fractions are lessorequal than all unit fractions? Richard Damon <richard@damon-family.org> - 2024-09-10 08:03 -0400
                Re: How many different unit fractions are lessorequal than all unit fractions? joes <noreply@example.org> - 2024-09-08 20:16 +0000
                Re: How many different unit fractions are lessorequal than all unit fractions? WM <wolfgang.mueckenheim@tha.de> - 2024-09-09 12:36 +0200
                Re: How many different unit fractions are lessorequal than all unit fractions? Richard Damon <richard@damon-family.org> - 2024-09-09 07:55 -0400
                Re: How many different unit fractions are lessorequal than all unit fractions? Python <python@invalid.org> - 2024-09-07 16:05 +0200
                Re: How many different unit fractions are lessorequal than all unit fractions? WM <wolfgang.mueckenheim@tha.de> - 2024-09-08 21:28 +0200
                Re: How many different unit fractions are lessorequal than all unit fractions? joes <noreply@example.org> - 2024-09-08 20:06 +0000
                Re: How many different unit fractions are lessorequal than all unit fractions? WM <wolfgang.mueckenheim@tha.de> - 2024-09-09 12:24 +0200
                Re: How many different unit fractions are lessorequal than all unit fractions? joes <noreply@example.org> - 2024-09-09 15:15 +0000
                Re: How many different unit fractions are lessorequal than all unit fractions? WM <wolfgang.mueckenheim@tha.de> - 2024-09-09 20:44 +0200
                Re: How many different unit fractions are lessorequal than all unit fractions? Jim Burns <james.g.burns@att.net> - 2024-09-09 15:43 -0400
                Re: How many different unit fractions are lessorequal than all unit fractions? WM <wolfgang.mueckenheim@tha.de> - 2024-09-10 18:16 +0200
                Re: How many different unit fractions are lessorequal than all unit fractions? Jim Burns <james.g.burns@att.net> - 2024-09-10 17:12 -0400
                Re: How many different unit fractions are lessorequal than all unit fractions? WM <wolfgang.mueckenheim@tha.de> - 2024-09-11 16:48 +0200
                Re: How many different unit fractions are lessorequal than all unit fractions? Jim Burns <james.g.burns@att.net> - 2024-09-11 14:11 -0400
                Re: How many different unit fractions are lessorequal than all unit fractions? WM <wolfgang.mueckenheim@tha.de> - 2024-09-11 21:48 +0200
                Re: How many different unit fractions are lessorequal than all unit fractions? joes <noreply@example.org> - 2024-09-09 19:57 +0000
                Re: How many different unit fractions are lessorequal than all unit fractions? Moebius <invalid@example.invalid> - 2024-09-09 22:28 +0200
                Re: How many different unit fractions are lessorequal than all unit fractions? Moebius <invalid@example.invalid> - 2024-09-10 02:50 +0200
                Re: How many different unit fractions are lessorequal than all unit fractions? WM <wolfgang.mueckenheim@tha.de> - 2024-09-10 18:27 +0200
                Re: How many different unit fractions are lessorequal than all unit fractions? Richard Damon <richard@damon-family.org> - 2024-09-10 21:55 -0400
                Re: How many different unit fractions are lessorequal than all unit fractions? Richard Damon <richard@damon-family.org> - 2024-09-10 08:07 -0400
                Re: How many different unit fractions are lessorequal than all unit fractions? WM <wolfgang.mueckenheim@tha.de> - 2024-09-10 21:10 +0200
                Re: How many different unit fractions are lessorequal than all unit fractions? Richard Damon <richard@damon-family.org> - 2024-09-10 21:58 -0400
                Re: How many different unit fractions are lessorequal than all unit fractions? Python <python@invalid.org> - 2024-09-08 22:34 +0200
                Re: How many different unit fractions are lessorequal than all unit fractions? WM <wolfgang.mueckenheim@tha.de> - 2024-09-09 12:19 +0200
                Re: How many different unit fractions are lessorequal than all unit fractions? Python <python@invalid.org> - 2024-09-09 16:32 +0200
                Re: How many different unit fractions are lessorequal than all unit fractions? WM <wolfgang.mueckenheim@tha.de> - 2024-09-09 17:15 +0200
                Re: How many different unit fractions are lessorequal than all unit fractions? Python <python@invalid.org> - 2024-09-09 17:27 +0200
                Re: How many different unit fractions are lessorequal than all unit fractions? Moebius <invalid@example.invalid> - 2024-09-09 18:26 +0200
                Re: How many different unit fractions are lessorequal than all unit fractions? WM <wolfgang.mueckenheim@tha.de> - 2024-09-09 20:49 +0200
                Re: How many different unit fractions are lessorequal than all unit fractions? "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2024-09-09 16:02 -0700
                Re: How many different unit fractions are lessorequal than all unit fractions? FromTheRafters <FTR@nomail.afraid.org> - 2024-09-10 07:09 -0400
                Re: How many different unit fractions are lessorequal than all unit fractions? "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2024-09-10 11:42 -0700
                Re: How many different unit fractions are lessorequal than all unit fractions? "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2024-09-10 12:05 -0700
                Re: How many different unit fractions are lessorequal than all unit fractions? Moebius <invalid@example.invalid> - 2024-09-10 21:31 +0200
                Re: How many different unit fractions are lessorequal than all unit fractions? "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2024-09-10 13:25 -0700
                Re: How many different unit fractions are lessorequal than all unit fractions? Moebius <invalid@example.invalid> - 2024-09-10 22:33 +0200
                Re: How many different unit fractions are lessorequal than all unit fractions? Moebius <invalid@example.invalid> - 2024-09-10 22:34 +0200
                Re: How many different unit fractions are lessorequal than all unit fractions? "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2024-09-10 16:10 -0700
                Re: How many different unit fractions are lessorequal than all unit fractions? "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2024-09-10 13:53 -0700
                Re: How many different unit fractions are lessorequal than all unit fractions? FromTheRafters <FTR@nomail.afraid.org> - 2024-09-10 15:18 -0400
                Re: How many different unit fractions are lessorequal than all unit fractions? WM <wolfgang.mueckenheim@tha.de> - 2024-09-10 20:59 +0200
                Re: How many different unit fractions are lessorequal than all unit fractions? FromTheRafters <FTR@nomail.afraid.org> - 2024-09-10 15:20 -0400
                Re: How many different unit fractions are lessorequal than all unit fractions? Richard Damon <richard@damon-family.org> - 2024-09-10 22:09 -0400
                Re: How many different unit fractions are lessorequal than all unit fractions? WM <wolfgang.mueckenheim@tha.de> - 2024-09-11 16:37 +0200
                Re: How many different unit fractions are lessorequal than all unit fractions? joes <noreply@example.org> - 2024-09-11 17:29 +0000
                Re: How many different unit fractions are lessorequal than all unit fractions? WM <wolfgang.mueckenheim@tha.de> - 2024-09-11 21:40 +0200
                Re: How many different unit fractions are lessorequal than all unit fractions? "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2024-09-11 14:01 -0700
                Re: How many different unit fractions are lessorequal than all unit fractions? FromTheRafters <FTR@nomail.afraid.org> - 2024-09-11 17:13 -0400
                Re: How many different unit fractions are lessorequal than all unit  fractions? WM <wolfgang.mueckenheim@tha.de> - 2024-09-12 11:15 +0000
                Re: How many different unit fractions are lessorequal than all unit fractions? FromTheRafters <FTR@nomail.afraid.org> - 2024-09-12 08:29 -0400
                Re: How many different unit fractions are lessorequal than all unit fractions? WM <wolfgang.mueckenheim@tha.de> - 2024-09-12 19:48 +0200
                Re: How many different unit fractions are lessorequal than all unit fractions? Richard Damon <richard@damon-family.org> - 2024-09-12 14:15 -0400
                Re: How many different unit fractions are lessorequal than all unit fractions? "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2024-09-12 11:37 -0700
                Re: How many different unit fractions are lessorequal than all unit fractions? WM <wolfgang.mueckenheim@tha.de> - 2024-09-13 17:41 +0200
                Re: How many different unit fractions are lessorequal than all unit fractions? Richard Damon <richard@damon-family.org> - 2024-09-13 11:52 -0400
                Re: How many different unit fractions are lessorequal than all unit fractions? WM <wolfgang.mueckenheim@tha.de> - 2024-09-13 20:05 +0200
                Re: How many different unit fractions are lessorequal than all unit fractions? Richard Damon <richard@damon-family.org> - 2024-09-13 16:52 -0400
                Re: How many different unit fractions are lessorequal than all unit fractions? FromTheRafters <FTR@nomail.afraid.org> - 2024-09-13 19:05 -0400
                Re: How many different unit fractions are lessorequal than all unit fractions? WM <wolfgang.mueckenheim@tha.de> - 2024-09-14 16:01 +0200
                Re: How many different unit fractions are lessorequal than all unit fractions? Richard Damon <richard@damon-family.org> - 2024-09-14 12:33 -0400
                Re: How many different unit fractions are lessorequal than all unit fractions? WM <wolfgang.mueckenheim@tha.de> - 2024-09-15 21:52 +0200
                Re: How many different unit fractions are lessorequal than all unit fractions? joes <noreply@example.org> - 2024-09-15 21:07 +0000
                Re: How many different unit fractions are lessorequal than all unit fractions? "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2024-09-15 14:17 -0700
                Re: How many different unit fractions are lessorequal than all unit fractions? Richard Damon <richard@damon-family.org> - 2024-09-15 21:14 -0400
                Re: How many different unit fractions are lessorequal than all unit fractions? FromTheRafters <FTR@nomail.afraid.org> - 2024-09-14 13:30 -0400
                Re: How many different unit fractions are lessorequal than all unit fractions? "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2024-09-14 16:54 -0700
                Re: How many different unit fractions are lessorequal than all unit fractions? Moebius <invalid@example.invalid> - 2024-09-15 02:07 +0200
                Re: How many different unit fractions are lessorequal than all unit fractions? "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2024-09-14 17:18 -0700
                Re: How many different unit fractions are lessorequal than all unit fractions? Moebius <invalid@example.invalid> - 2024-09-15 04:23 +0200
                Re: How many different unit fractions are lessorequal than all unit fractions? "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2024-09-14 21:35 -0700
                Re: How many different unit fractions are lessorequal than all unit fractions? WM <wolfgang.mueckenheim@tha.de> - 2024-09-15 21:44 +0200
                Re: How many different unit fractions are lessorequal than all unit fractions? FromTheRafters <FTR@nomail.afraid.org> - 2024-09-15 17:24 -0400
                Re: How many different unit fractions are lessorequal than all unit fractions? joes <noreply@example.org> - 2024-09-14 18:35 +0000
                Re: How many different unit fractions are lessorequal than all unit fractions? "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2024-09-14 17:05 -0700
                Re: How many different unit fractions are lessorequal than all unit fractions? Moebius <invalid@example.invalid> - 2024-09-15 02:15 +0200
                Re: How many different unit fractions are lessorequal than all unit fractions? "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2024-09-14 17:19 -0700
                Re: How many different unit fractions are lessorequal than all unit fractions? Ben Bacarisse <ben@bsb.me.uk> - 2024-09-15 17:38 +0100
                Re: How many different unit fractions are lessorequal than all unit fractions? Ross Finlayson <ross.a.finlayson@gmail.com> - 2024-09-15 10:06 -0700
                Re: How many different unit fractions are lessorequal than all unit fractions? Ben Bacarisse <ben@bsb.me.uk> - 2024-09-16 22:47 +0100
                Re: How many different unit fractions are lessorequal than all unit fractions? "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2024-09-15 12:39 -0700
                Re: How many different unit fractions are lessorequal than all unit fractions? Ben Bacarisse <ben@bsb.me.uk> - 2024-09-16 23:02 +0100
                Re: How many different unit fractions are lessorequal than all unit fractions? "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2024-09-16 15:03 -0700
                Re: How many different unit fractions are lessorequal than all unit fractions? WM <wolfgang.mueckenheim@tha.de> - 2024-09-15 21:39 +0200
                Re: How many different unit fractions are lessorequal than all unit fractions? joes <noreply@example.org> - 2024-09-15 21:09 +0000
                Re: How many different unit fractions are lessorequal than all unit fractions? Richard Damon <richard@damon-family.org> - 2024-09-15 21:16 -0400
                Re: How many different unit fractions are lessorequal than all unit fractions? "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2024-09-16 13:19 -0700
                Re: How many different unit fractions are lessorequal than all unit fractions? WM <wolfgang.mueckenheim@tha.de> - 2024-09-15 21:47 +0200
                Re: How many different unit fractions are lessorequal than all unit fractions? Jim Burns <james.g.burns@att.net> - 2024-09-16 13:30 -0400
                Re: How many different unit fractions are lessorequal than all unit fractions? "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2024-09-16 13:15 -0700
                Re: How many different unit fractions are lessorequal than all unit fractions? Jim Burns <james.g.burns@att.net> - 2024-09-16 17:38 -0400
                Re: How many different unit fractions are lessorequal than all unit fractions? "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2024-09-16 14:56 -0700
                Re: How many different unit fractions are lessorequal than all unit fractions? (repleteness) Ross Finlayson <ross.a.finlayson@gmail.com> - 2024-09-14 09:27 -0700
                Re: How many different unit fractions are lessorequal than all unit fractions? (repleteness) Ross Finlayson <ross.a.finlayson@gmail.com> - 2024-09-15 09:10 -0700
                Re: How many different unit fractions are lessorequal than all unit fractions? (repleteness) FromTheRafters <FTR@nomail.afraid.org> - 2024-09-15 14:03 -0400
                Re: How many different unit fractions are lessorequal than all unit fractions? (repleteness) Ross Finlayson <ross.a.finlayson@gmail.com> - 2024-09-15 14:52 -0700
                Re: How many different unit fractions are lessorequal than all unit fractions? (repleteness) FromTheRafters <FTR@nomail.afraid.org> - 2024-09-15 18:07 -0400
                Re: How many different unit fractions are lessorequal than all unit fractions? (repleteness) "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2024-09-15 15:18 -0700
                Re: How many different unit fractions are lessorequal than all unit fractions? (repleteness) Ross Finlayson <ross.a.finlayson@gmail.com> - 2024-09-15 18:31 -0700
                Re: How many different unit fractions are lessorequal than all unit fractions? (repleteness) Jim Burns <james.g.burns@att.net> - 2024-09-16 14:13 -0400
                Re: How many different unit fractions are lessorequal than all unit fractions? (repleteness) Jim Burns <james.g.burns@att.net> - 2024-09-16 14:24 -0400
                Re: How many different unit fractions are lessorequal than all unit fractions? (repleteness) Ross Finlayson <ross.a.finlayson@gmail.com> - 2024-09-16 19:55 -0700
                Re: How many different unit fractions are lessorequal than all unit fractions? (repleteness) Jim Burns <james.g.burns@att.net> - 2024-09-17 13:59 -0400
                Re: How many different unit fractions are lessorequal than all unit fractions? (repleteness) Ross Finlayson <ross.a.finlayson@gmail.com> - 2024-09-17 11:57 -0700
                Re: How many different unit fractions are lessorequal than all unit fractions? (repleteness) Ross Finlayson <ross.a.finlayson@gmail.com> - 2024-09-17 12:18 -0700
                Re: How many different unit fractions are lessorequal than all unit fractions? FromTheRafters <FTR@nomail.afraid.org> - 2024-09-12 14:28 -0400
                Re: How many different unit fractions are lessorequal than all unit fractions? "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2024-09-12 11:33 -0700
                Re: How many different unit fractions are lessorequal than all unit fractions? Jim Burns <james.g.burns@att.net> - 2024-09-12 16:54 -0400
                Re: How many different unit fractions are lessorequal than all unit fractions? WM <wolfgang.mueckenheim@tha.de> - 2024-09-13 19:20 +0200
                Re: How many different unit fractions are lessorequal than all unit fractions? Richard Damon <richard@damon-family.org> - 2024-09-13 13:35 -0400
                Re: How many different unit fractions are lessorequal than all unit fractions? Jim Burns <james.g.burns@att.net> - 2024-09-13 17:13 -0400
                Re: How many different unit fractions are lessorequal than all unit fractions? WM <wolfgang.mueckenheim@tha.de> - 2024-09-14 18:24 +0200
                Re: How many different unit fractions are lessorequal than all unit fractions? Jim Burns <james.g.burns@att.net> - 2024-09-14 14:52 -0400
                Re: How many different unit fractions are lessorequal than all unit fractions? "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2024-09-12 11:33 -0700
                Re: How many different unit fractions are lessorequal than all unit fractions? "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2024-09-12 12:23 -0700
                Re: How many different unit fractions are lessorequal than all unit fractions? Richard Damon <richard@damon-family.org> - 2024-09-11 21:04 -0400
                Re: How many different unit fractions are lessorequal than all unit fractions? WM <wolfgang.mueckenheim@tha.de> - 2024-09-12 13:24 +0200
                Re: How many different unit fractions are lessorequal than all unit fractions? Richard Damon <richard@damon-family.org> - 2024-09-12 08:29 -0400
                Re: How many different unit fractions are lessorequal than all unit fractions? WM <wolfgang.mueckenheim@tha.de> - 2024-09-12 19:44 +0200
                Re: How many different unit fractions are lessorequal than all unit fractions? Richard Damon <richard@damon-family.org> - 2024-09-12 14:16 -0400
                Re: How many different unit fractions are lessorequal than all unit fractions? WM <wolfgang.mueckenheim@tha.de> - 2024-09-13 17:43 +0200
                Re: How many different unit fractions are lessorequal than all unit fractions? Richard Damon <richard@damon-family.org> - 2024-09-13 11:54 -0400
                Re: How many different unit fractions are lessorequal than all unit fractions? WM <wolfgang.mueckenheim@tha.de> - 2024-09-13 20:07 +0200
                Re: How many different unit fractions are lessorequal than all unit fractions? "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2024-09-13 12:35 -0700
                Re: How many different unit fractions are lessorequal than all unit fractions? Richard Damon <richard@damon-family.org> - 2024-09-13 16:53 -0400
                Re: How many different unit fractions are lessorequal than all unit fractions? "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2024-09-13 12:35 -0700
                Re: How many different unit fractions are lessorequal than all unit fractions? Jim Burns <james.g.burns@att.net> - 2024-09-13 15:07 -0400
                Re: How many different unit fractions are lessorequal than all unit fractions? WM <wolfgang.mueckenheim@tha.de> - 2024-09-13 21:27 +0200
                Re: How many different unit fractions are lessorequal than all unit fractions? joes <noreply@example.org> - 2024-09-13 06:40 +0000
                Re: How many different unit fractions are lessorequal than all unit fractions? WM <wolfgang.mueckenheim@tha.de> - 2024-09-13 18:16 +0200
                Re: How many different unit fractions are lessorequal than all unit fractions? Richard Damon <richard@damon-family.org> - 2024-09-13 13:12 -0400
                Re: How many different unit fractions are lessorequal than all unit fractions? WM <wolfgang.mueckenheim@tha.de> - 2024-09-13 20:12 +0200
                Re: How many different unit fractions are lessorequal than all unit fractions? Richard Damon <richard@damon-family.org> - 2024-09-13 16:58 -0400
                Re: How many different unit fractions are lessorequal than all unit fractions? "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2024-09-12 11:30 -0700
                Re: How many different unit fractions are lessorequal than all unit fractions? Richard Damon <richard@damon-family.org> - 2024-09-11 21:00 -0400
                Re: How many different unit fractions are lessorequal than all unit  fractions? WM <wolfgang.mueckenheim@tha.de> - 2024-09-12 11:18 +0000
                Re: How many different unit fractions are lessorequal than all unit fractions? Richard Damon <richard@damon-family.org> - 2024-09-12 08:35 -0400
                Re: How many different unit fractions are lessorequal than all unit fractions? WM <wolfgang.mueckenheim@tha.de> - 2024-09-12 19:54 +0200
                Re: How many different unit fractions are lessorequal than all unit fractions? Richard Damon <richard@damon-family.org> - 2024-09-12 14:20 -0400
                Re: How many different unit fractions are lessorequal than all unit fractions? "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2024-09-12 12:21 -0700
                Re: How many different unit fractions are lessorequal than all unit fractions? WM <wolfgang.mueckenheim@tha.de> - 2024-09-13 17:45 +0200
                Re: How many different unit fractions are lessorequal than all unit fractions? Richard Damon <richard@damon-family.org> - 2024-09-13 11:55 -0400
                Re: How many different unit fractions are lessorequal than all unit fractions? "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2024-09-13 12:34 -0700
                Re: How many different unit fractions are lessorequal than all unit fractions? "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2024-09-12 11:26 -0700
                Re: How many different unit fractions are lessorequal than all unit fractions? joes <noreply@example.org> - 2024-09-13 19:20 +0000
                Re: How many different unit fractions are lessorequal than all unit fractions? "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2024-09-12 11:24 -0700
                Re: How many different unit fractions are lessorequal than all unit fractions? joes <noreply@example.org> - 2024-09-09 15:55 +0000
                Re: How many different unit fractions are lessorequal than all unit fractions? WM <wolfgang.mueckenheim@tha.de> - 2024-09-09 21:08 +0200
                Re: How many different unit fractions are lessorequal than all unit fractions? joes <noreply@example.org> - 2024-09-09 19:51 +0000
                Re: How many different unit fractions are lessorequal than all unit fractions? WM <wolfgang.mueckenheim@tha.de> - 2024-09-10 18:18 +0200
                Re: How many different unit fractions are lessorequal than all unit fractions? Richard Damon <richard@damon-family.org> - 2024-09-10 22:11 -0400
                Re: How many different unit fractions are lessorequal than all unit fractions? "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2024-09-10 23:33 -0700
                Re: How many different unit fractions are lessorequal than all unit fractions? WM <wolfgang.mueckenheim@tha.de> - 2024-09-11 16:35 +0200
                Re: How many different unit fractions are lessorequal than all unit fractions? Jim Burns <james.g.burns@att.net> - 2024-09-11 14:52 -0400
                Re: How many different unit fractions are lessorequal than all unit fractions? WM <wolfgang.mueckenheim@tha.de> - 2024-09-11 21:53 +0200
                Re: How many different unit fractions are lessorequal than all unit fractions? Jim Burns <james.g.burns@att.net> - 2024-09-12 01:03 -0400
                Re: How many different unit fractions are lessorequal than all unit fractions? WM <wolfgang.mueckenheim@tha.de> - 2024-09-12 13:27 +0200
                Re: How many different unit fractions are lessorequal than all unit fractions? "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2024-09-12 11:30 -0700
                Re: How many different unit fractions are lessorequal than all unit fractions? WM <wolfgang.mueckenheim@tha.de> - 2024-09-12 13:39 +0200
                Re: How many different unit fractions are lessorequal than all unit fractions? Richard Damon <richard@damon-family.org> - 2024-09-12 08:38 -0400
                Re: How many different unit fractions are lessorequal than all unit fractions? Jim Burns <james.g.burns@att.net> - 2024-09-12 15:12 -0400
                Re: How many different unit fractions are lessorequal than all unit fractions? WM <wolfgang.mueckenheim@tha.de> - 2024-09-13 18:23 +0200
                Re: How many different unit fractions are lessorequal than all unit fractions? Richard Damon <richard@damon-family.org> - 2024-09-13 13:27 -0400
                Re: How many different unit fractions are lessorequal than all unit fractions? WM <wolfgang.mueckenheim@tha.de> - 2024-09-13 20:13 +0200
                Re: How many different unit fractions are lessorequal than all unit fractions? Richard Damon <richard@damon-family.org> - 2024-09-13 17:00 -0400
                Re: How many different unit fractions are lessorequal than all unit fractions? "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2024-09-13 12:31 -0700
                Re: How many different unit fractions are lessorequal than all unit fractions? Richard Damon <richard@damon-family.org> - 2024-09-10 22:10 -0400
                Re: How many different unit fractions are lessorequal than all unit fractions? Richard Damon <richard@damon-family.org> - 2024-09-10 22:01 -0400
                Re: How many different unit fractions are lessorequal than all unit fractions? "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2024-09-09 16:01 -0700
                Re: How many different unit fractions are lessorequal than all unit fractions? FromTheRafters <FTR@nomail.afraid.org> - 2024-09-06 14:17 -0400
                Re: How many different unit fractions are lessorequal than all unit fractions? WM <wolfgang.mueckenheim@tha.de> - 2024-09-06 22:54 +0200
                Re: How many different unit fractions are lessorequal than all unit fractions? FromTheRafters <FTR@nomail.afraid.org> - 2024-09-06 18:31 -0400
                Re: How many different unit fractions are lessorequal than all unit fractions? (replete large numbers) Ross Finlayson <ross.a.finlayson@gmail.com> - 2024-09-06 16:38 -0700
                Re: How many different unit fractions are lessorequal than all unit fractions? (replete large numbers) FromTheRafters <FTR@nomail.afraid.org> - 2024-09-07 06:30 -0400
                Re: How many different unit fractions are lessorequal than all unit fractions? (replete large numbers) Ross Finlayson <ross.a.finlayson@gmail.com> - 2024-09-07 08:27 -0700
                Re: How many different unit fractions are lessorequal than all unit fractions? Richard Damon <richard@damon-family.org> - 2024-09-06 22:01 -0400
                Re: How many different unit fractions are lessorequal than all unit fractions? Jim Burns <james.g.burns@att.net> - 2024-09-05 20:27 -0400
              Re: How many different unit fractions are lessorequal than all unit fractions? Richard Damon <richard@damon-family.org> - 2024-09-04 20:35 -0400
                Re: How many different unit fractions are lessorequal than all unit  fractions? WM <wolfgang.mueckenheim@tha.de> - 2024-09-05 14:03 +0000
                Re: How many different unit fractions are lessorequal than all unit fractions? Richard Damon <richard@damon-family.org> - 2024-09-05 23:03 -0400
  Re: How many different unit fractions are lessorequal than all unit fractions? Jim Burns <james.g.burns@att.net> - 2024-09-04 14:08 -0400
    Re: How many different unit fractions are lessorequal than all unit fractions? WM <wolfgang.mueckenheim@tha.de> - 2024-09-04 22:23 +0200
      Re: How many different unit fractions are lessorequal than all unit fractions? Jim Burns <james.g.burns@att.net> - 2024-09-04 17:26 -0400
        Re: How many different unit fractions are lessorequal than all unit  fractions? WM <wolfgang.mueckenheim@tha.de> - 2024-09-05 13:59 +0000
          Re: How many different unit fractions are lessorequal than all unit fractions? Jim Burns <james.g.burns@att.net> - 2024-09-05 15:57 -0400
            Re: How many different unit fractions are lessorequal than all unit fractions? WM <wolfgang.mueckenheim@tha.de> - 2024-09-06 14:12 +0200
              Re: How many different unit fractions are lessorequal than all unit fractions? joes <noreply@example.org> - 2024-09-06 12:38 +0000
                Re: How many different unit fractions are lessorequal than all unit fractions? WM <wolfgang.mueckenheim@tha.de> - 2024-09-06 22:40 +0200
                Re: How many different unit fractions are lessorequal than all unit fractions? Richard Damon <richard@damon-family.org> - 2024-09-06 22:01 -0400
                Re: How many different unit fractions are lessorequal than all unit fractions? WM <wolfgang.mueckenheim@tha.de> - 2024-09-07 15:08 +0200
                Re: How many different unit fractions are lessorequal than all unit fractions? Richard Damon <richard@damon-family.org> - 2024-09-07 09:30 -0400
                Re: How many different unit fractions are lessorequal than all unit fractions? "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2024-09-07 14:50 -0700
                Re: How many different unit fractions are lessorequal than all unit fractions? FromTheRafters <FTR@nomail.afraid.org> - 2024-09-07 19:11 -0400
                Re: How many different unit fractions are lessorequal than all unit fractions? "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2024-09-07 16:15 -0700
                Re: How many different unit fractions are lessorequal than all unit fractions? joes <noreply@example.org> - 2024-09-08 08:33 +0000
              Re: How many different unit fractions are lessorequal than all unit fractions? Jim Burns <james.g.burns@att.net> - 2024-09-06 12:41 -0400
                Re: How many different unit fractions are lessorequal than all unit fractions? WM <wolfgang.mueckenheim@tha.de> - 2024-09-06 22:52 +0200
                Re: How many different unit fractions are lessorequal than all unit fractions? Jim Burns <james.g.burns@att.net> - 2024-09-06 19:51 -0400
                Re: How many different unit fractions are lessorequal than all unit fractions? WM <wolfgang.mueckenheim@tha.de> - 2024-09-07 13:02 +0200
                Re: How many different unit fractions are lessorequal than all unit fractions? Richard Damon <richard@damon-family.org> - 2024-09-07 08:41 -0400
                Re: How many different unit fractions are lessorequal than all unit fractions? joes <noreply@example.org> - 2024-09-07 13:36 +0000
                Re: How many different unit fractions are lessorequal than all unit fractions? WM <wolfgang.mueckenheim@tha.de> - 2024-09-07 15:49 +0200
                Re: How many different unit fractions are lessorequal than all unit fractions? Richard Damon <richard@damon-family.org> - 2024-09-07 10:53 -0400
                Re: How many different unit fractions are lessorequal than all unit fractions? "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2024-09-07 14:47 -0700
                Re: How many different unit fractions are lessorequal than all unit fractions? Jim Burns <james.g.burns@att.net> - 2024-09-07 15:01 -0400
                Re: How many different unit fractions are lessorequal than all unit fractions? Ross Finlayson <ross.a.finlayson@gmail.com> - 2024-09-07 12:13 -0700
                Re: How many different unit fractions are lessorequal than all unit fractions? Ross Finlayson <ross.a.finlayson@gmail.com> - 2024-09-07 12:31 -0700
                Re: How many different unit fractions are lessorequal than all unit fractions? Jim Burns <james.g.burns@att.net> - 2024-09-07 20:29 -0400
                Re: How many different unit fractions are lessorequal than all unit fractions? (constructive) Ross Finlayson <ross.a.finlayson@gmail.com> - 2024-09-07 19:29 -0700
                Re: How many different unit fractions are lessorequal than all unit fractions? (constructive) Ross Finlayson <ross.a.finlayson@gmail.com> - 2024-09-08 08:39 -0700
                Re: How many different unit fractions are lessorequal than all unit fractions? (constructive) Jim Burns <james.g.burns@att.net> - 2024-09-08 15:13 -0400
                Re: How many different unit fractions are lessorequal than all unit fractions? (constructive) Ross Finlayson <ross.a.finlayson@gmail.com> - 2024-09-08 15:34 -0700
                Re: How many different unit fractions are lessorequal than all unit fractions? (constructive) Jim Burns <james.g.burns@att.net> - 2024-09-09 00:59 -0400
                Re: How many different unit fractions are lessorequal than all unit fractions? (constructive) Ross Finlayson <ross.a.finlayson@gmail.com> - 2024-09-09 09:59 -0700
                Re: How many different unit fractions are lessorequal than all unit fractions? (constructive) Jim Burns <james.g.burns@att.net> - 2024-09-09 14:23 -0400
                Re: How many different unit fractions are lessorequal than all unit fractions? (constructive) Ross Finlayson <ross.a.finlayson@gmail.com> - 2024-09-09 20:11 -0700
                Re: How many different unit fractions are lessorequal than all unit fractions? (constructive) Ross Finlayson <ross.a.finlayson@gmail.com> - 2024-09-09 20:14 -0700
                Re: How many different unit fractions are lessorequal than all unit fractions? (constructive) Jim Burns <james.g.burns@att.net> - 2024-09-10 05:21 -0400
                Re: How many different unit fractions are lessorequal than all unit fractions? (constructive) Ross Finlayson <ross.a.finlayson@gmail.com> - 2024-09-10 17:24 -0700
                Re: How many different unit fractions are lessorequal than all unit fractions? (constructive) Jim Burns <james.g.burns@att.net> - 2024-09-12 14:05 -0400
                Re: How many different unit fractions are lessorequal than all unit fractions? (constructive) Ross Finlayson <ross.a.finlayson@gmail.com> - 2024-09-16 19:53 -0700
                Re: How many different unit fractions are lessorequal than all unit fractions? (constructive) Jim Burns <james.g.burns@att.net> - 2024-09-17 15:26 -0400
                Re: How many different unit fractions are lessorequal than all unit fractions? (constructive) Ross Finlayson <ross.a.finlayson@gmail.com> - 2024-09-12 13:42 -0700
                Re: How many different unit fractions are lessorequal than all unit fractions? (constructive) Jim Burns <james.g.burns@att.net> - 2024-09-12 18:00 -0400
                Re: How many different unit fractions are lessorequal than all unit fractions? (constructive) Ross Finlayson <ross.a.finlayson@gmail.com> - 2024-09-12 20:08 -0700
                Re: How many different unit fractions are lessorequal than all unit fractions? "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2024-09-07 14:48 -0700
                Re: How many different unit fractions are lessorequal than all unit fractions? FromTheRafters <FTR@nomail.afraid.org> - 2024-09-07 19:17 -0400
                Re: How many different unit fractions are lessorequal than all unit fractions? "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2024-09-07 16:19 -0700
                Re: How many different unit fractions are lessorequal than all unit fractions? FromTheRafters <FTR@nomail.afraid.org> - 2024-09-07 19:26 -0400
                Re: How many different unit fractions are lessorequal than all unit fractions? "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2024-09-07 23:47 -0700
                Re: How many different unit fractions are lessorequal than all unit fractions? WM <wolfgang.mueckenheim@tha.de> - 2024-09-08 21:39 +0200
                Re: How many different unit fractions are lessorequal than all unit fractions? Jim Burns <james.g.burns@att.net> - 2024-09-08 16:21 -0400
                Re: How many different unit fractions are lessorequal than all unit fractions? WM <wolfgang.mueckenheim@tha.de> - 2024-09-09 12:39 +0200
                Re: How many different unit fractions are lessorequal than all unit fractions? Jim Burns <james.g.burns@att.net> - 2024-09-09 15:05 -0400
                Re: How many different unit fractions are lessorequal than all unit fractions? WM <wolfgang.mueckenheim@tha.de> - 2024-09-09 21:13 +0200
                Re: How many different unit fractions are lessorequal than all unit fractions? Jim Burns <james.g.burns@att.net> - 2024-09-09 16:20 -0400
                Re: How many different unit fractions are lessorequal than all unit fractions? FromTheRafters <FTR@nomail.afraid.org> - 2024-09-09 06:27 -0400
                Re: How many different unit fractions are lessorequal than all unit fractions? joes <noreply@example.org> - 2024-09-07 13:33 +0000
                Re: How many different unit fractions are lessorequal than all unit fractions? WM <wolfgang.mueckenheim@tha.de> - 2024-09-07 15:41 +0200
                Re: How many different unit fractions are lessorequal than all unit fractions? Richard Damon <richard@damon-family.org> - 2024-09-07 10:58 -0400
              Re: How many different unit fractions are lessorequal than all unit fractions? Richard Damon <richard@damon-family.org> - 2024-09-06 22:01 -0400
                Re: How many different unit fractions are lessorequal than all unit fractions? WM <wolfgang.mueckenheim@tha.de> - 2024-09-07 14:55 +0200
                Re: How many different unit fractions are lessorequal than all unit fractions? Richard Damon <richard@damon-family.org> - 2024-09-07 08:58 -0400
                Re: How many different unit fractions are lessorequal than all unit fractions? WM <wolfgang.mueckenheim@tha.de> - 2024-09-07 15:31 +0200
                Re: How many different unit fractions are lessorequal than all unit fractions? Richard Damon <richard@damon-family.org> - 2024-09-07 11:02 -0400
                Re: How many different unit fractions are lessorequal than all unit fractions? "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2024-09-07 14:51 -0700
                Re: How many different unit fractions are lessorequal than all unit fractions? Moebius <invalid@example.invalid> - 2024-09-08 02:15 +0200
                Re: How many different unit fractions are lessorequal than all unit fractions? Moebius <invalid@example.invalid> - 2024-09-08 02:17 +0200
                Re: How many different unit fractions are lessorequal than all unit fractions? "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2024-09-07 23:50 -0700
                Re: How many different unit fractions are lessorequal than all unit fractions? Python <python@invalid.org> - 2024-09-07 15:53 +0200
      Re: How many different unit fractions are lessorequal than all unit fractions? Richard Damon <richard@damon-family.org> - 2024-09-04 20:38 -0400
        Re: How many different unit fractions are lessorequal than all unit fractions? "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2024-09-05 00:30 -0700
          Re: How many different unit fractions are lessorequal than all unit fractions? Moebius <invalid@example.invalid> - 2024-09-05 16:22 +0200
            Re: How many different unit fractions are lessorequal than all unit fractions? WM <wolfgang.mueckenheim@tha.de> - 2024-09-05 16:29 +0200
              Re: How many different unit fractions are lessorequal than all unit fractions? Richard Damon <richard@damon-family.org> - 2024-09-05 23:06 -0400
            Re: How many different unit fractions are lessorequal than all unit fractions? "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2024-09-06 15:10 -0700
              Re: How many different unit fractions are lessorequal than all unit fractions? Moebius <invalid@example.invalid> - 2024-09-07 00:28 +0200
        Re: How many different unit fractions are lessorequal than all unit  fractions? WM <wolfgang.mueckenheim@tha.de> - 2024-09-05 14:08 +0000
          Re: How many different unit fractions are lessorequal than all unit fractions? Richard Damon <richard@damon-family.org> - 2024-09-05 23:08 -0400
            Re: How many different unit fractions are lessorequal than all unit fractions? WM <wolfgang.mueckenheim@tha.de> - 2024-09-06 14:07 +0200
              Re: How many different unit fractions are lessorequal than all unit fractions? Richard Damon <richard@damon-family.org> - 2024-09-06 22:01 -0400
                Re: How many different unit fractions are lessorequal than all unit fractions? Ross Finlayson <ross.a.finlayson@gmail.com> - 2024-09-06 20:00 -0700
                Re: How many different unit fractions are lessorequal than all unit fractions? Richard Damon <richard@damon-family.org> - 2024-09-07 08:57 -0400
                Re: How many different unit fractions are lessorequal than all unit fractions? Ross Finlayson <ross.a.finlayson@gmail.com> - 2024-09-07 08:34 -0700
                Re: How many different unit fractions are lessorequal than all unit fractions? Ross Finlayson <ross.a.finlayson@gmail.com> - 2024-09-07 09:14 -0700
                Re: How many different unit fractions are lessorequal than all unit fractions? Richard Damon <richard@damon-family.org> - 2024-09-07 12:27 -0400
                Re: How many different unit fractions are lessorequal than all unit fractions? Ross Finlayson <ross.a.finlayson@gmail.com> - 2024-09-07 10:11 -0700
                Re: How many different unit fractions are lessorequal than all unit fractions? WM <wolfgang.mueckenheim@tha.de> - 2024-09-07 15:06 +0200
                Re: How many different unit fractions are lessorequal than all unit fractions? Richard Damon <richard@damon-family.org> - 2024-09-07 09:35 -0400
                Re: How many different unit fractions are lessorequal than all unit fractions? joes <noreply@example.org> - 2024-09-07 13:44 +0000
                Re: How many different unit fractions are lessorequal than all unit fractions? "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2024-09-07 14:43 -0700
  Re: How many different unit fractions are lessorequal than all unit fractions? "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2024-09-12 13:36 -0700
    Re: How many different unit fractions are lessorequal than all unit fractions? Moebius <invalid@example.invalid> - 2024-09-12 23:40 +0200
      Re: How many different unit fractions are lessorequal than all unit fractions? WM <wolfgang.mueckenheim@tha.de> - 2024-09-13 19:16 +0200
        Re: How many different unit fractions are lessorequal than all unit fractions? Richard Damon <richard@damon-family.org> - 2024-09-13 13:32 -0400
          Re: How many different unit fractions are lessorequal than all unit fractions? WM <wolfgang.mueckenheim@tha.de> - 2024-09-13 20:14 +0200
            Re: How many different unit fractions are lessorequal than all unit fractions? Richard Damon <richard@damon-family.org> - 2024-09-13 17:02 -0400

csiph-web