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Groups > sci.math > #630960 > unrolled thread
| Started by | WM <wolfgang.mueckenheim@tha.de> |
|---|---|
| First post | 2024-09-02 19:07 +0200 |
| Last post | 2024-10-27 17:12 +0100 |
| Articles |
20 on this page of 1000+
— 13 participants
Thread has 2234 articles; only the first 1000 are indexed. |
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Thread has 2234 articles; showing the first 1000 in depth-first order. Use the flat group view to see the rest.
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? "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2024-09-21 17:52 -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? "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2024-11-05 15:48 -0800
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? WM <wolfgang.mueckenheim@tha.de> - 2024-09-18 14:33 +0200
Re: How many different unit fractions are lessorequal than all unit fractions? Richard Damon <richard@damon-family.org> - 2024-09-18 18:50 -0400
Re: How many different unit fractions are lessorequal than all unit fractions? WM <wolfgang.mueckenheim@tha.de> - 2024-09-19 13:22 +0200
Re: How many different unit fractions are lessorequal than all unit fractions? Richard Damon <richard@damon-family.org> - 2024-09-19 07:44 -0400
Re: How many different unit fractions are lessorequal than all unit fractions? WM <wolfgang.mueckenheim@tha.de> - 2024-09-19 15:02 +0200
Re: How many different unit fractions are lessorequal than all unit fractions? Jim Burns <james.g.burns@att.net> - 2024-09-19 15:15 -0400
Re: How many different unit fractions are lessorequal than all unit fractions? WM <wolfgang.mueckenheim@tha.de> - 2024-09-20 20:27 +0200
Re: How many different unit fractions are lessorequal than all unit fractions? joes <noreply@example.org> - 2024-09-20 19:02 +0000
Re: How many different unit fractions are lessorequal than all unit fractions? WM <wolfgang.mueckenheim@tha.de> - 2024-09-21 15:41 +0200
Re: How many different unit fractions are lessorequal than all unit fractions? Jim Burns <james.g.burns@att.net> - 2024-09-20 16:02 -0400
Re: How many different unit fractions are lessorequal than all unit fractions? WM <wolfgang.mueckenheim@tha.de> - 2024-09-21 15:47 +0200
Re: How many different unit fractions are lessorequal than all unit fractions? Jim Burns <james.g.burns@att.net> - 2024-09-21 13:26 -0400
Re: How many different unit fractions are lessorequal than all unit fractions? WM <wolfgang.mueckenheim@tha.de> - 2024-09-21 22:11 +0200
Re: How many different unit fractions are lessorequal than all unit fractions? Jim Burns <james.g.burns@att.net> - 2024-09-21 18:32 -0400
Re: How many different unit fractions are lessorequal than all unit fractions? WM <wolfgang.mueckenheim@tha.de> - 2024-09-22 15:22 +0200
Re: How many different unit fractions are lessorequal than all unit fractions? FromTheRafters <FTR@nomail.afraid.org> - 2024-09-22 11:30 -0400
Re: How many different unit fractions are lessorequal than all unit fractions? Jim Burns <james.g.burns@att.net> - 2024-09-22 12:46 -0400
Re: How many different unit fractions are lessorequal than all unit fractions? Richard Damon <richard@damon-family.org> - 2024-09-22 15:20 -0400
Re: How many different unit fractions are lessorequal than all unit fractions? Richard Damon <richard@damon-family.org> - 2024-09-23 07:21 -0400
Re: How many different unit fractions are lessorequal than all unit fractions? joes <noreply@example.org> - 2024-09-22 14:20 +0000
Re: How many different unit fractions are lessorequal than all unit fractions? Richard Damon <richard@damon-family.org> - 2024-09-19 23:35 -0400
Re: How many different unit fractions are lessorequal than all unit fractions? WM <wolfgang.mueckenheim@tha.de> - 2024-09-20 20:13 +0200
Re: How many different unit fractions are lessorequal than all unit fractions? Jim Burns <james.g.burns@att.net> - 2024-09-20 17:37 -0400
Re: How many different unit fractions are lessorequal than all unit fractions? Richard Damon <richard@damon-family.org> - 2024-09-20 19:04 -0400
Re: How many different unit fractions are lessorequal than all unit fractions? WM <wolfgang.mueckenheim@tha.de> - 2024-09-21 22:02 +0200
Re: How many different unit fractions are lessorequal than all unit fractions? Richard Damon <richard@damon-family.org> - 2024-09-21 19:24 -0400
Re: How many different unit fractions are lessorequal than all unit fractions? WM <wolfgang.mueckenheim@tha.de> - 2024-09-22 15:27 +0200
Re: How many different unit fractions are lessorequal than all unit fractions? joes <noreply@example.org> - 2024-09-22 14:18 +0000
Re: How many different unit fractions are lessorequal than all unit fractions? WM <wolfgang.mueckenheim@tha.de> - 2024-09-22 17:36 +0200
Re: How many different unit fractions are lessorequal than all unit fractions? "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2024-09-22 12:04 -0700
Re: How many different unit fractions are lessorequal than all unit fractions? "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2024-09-22 16:28 -0700
Re: How many different unit fractions are lessorequal than all unit fractions? Moebius <invalid@example.invalid> - 2024-09-23 01:35 +0200
Re: How many different unit fractions are lessorequal than all unit fractions? Moebius <invalid@example.invalid> - 2024-09-23 01:44 +0200
Re: How many different unit fractions are lessorequal than all unit fractions? "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2024-09-22 18:33 -0700
Re: How many different unit fractions are lessorequal than all unit fractions? Richard Damon <richard@damon-family.org> - 2024-09-22 18:50 -0400
Re: How many different unit fractions are lessorequal than all unit fractions? "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2024-09-22 11:55 -0700
Re: How many different unit fractions are lessorequal than all unit fractions? Moebius <invalid@example.invalid> - 2024-09-22 21:07 +0200
Re: How many different unit fractions are lessorequal than all unit fractions? FromTheRafters <FTR@nomail.afraid.org> - 2024-09-22 17:27 -0400
Re: How many different unit fractions are lessorequal than all unit fractions? "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2024-09-22 14:35 -0700
Re: How many different unit fractions are lessorequal than all unit fractions? Richard Damon <richard@damon-family.org> - 2024-09-22 18:47 -0400
Re: How many different unit fractions are lessorequal than all unit fractions? joes <noreply@example.org> - 2024-09-19 12:38 +0000
Re: How many different unit fractions are lessorequal than all unit fractions? WM <wolfgang.mueckenheim@tha.de> - 2024-09-19 15:06 +0200
Re: How many different unit fractions are lessorequal than all unit fractions? Richard Damon <richard@damon-family.org> - 2024-09-19 23:37 -0400
Re: How many different unit fractions are lessorequal than all unit fractions? "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2024-09-19 12:11 -0700
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? "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2024-10-21 00:46 -0700
Re: How many different unit fractions are lessorequal than all unit fractions? Moebius <invalid@example.invalid> - 2024-10-21 22:15 +0200
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? WM <wolfgang.mueckenheim@tha.de> - 2024-09-18 14:34 +0200
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> - 2024-09-18 14:44 +0200
Re: How many different unit fractions are lessorequal than all unit fractions? "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2024-09-18 12:35 -0700
Re: How many different unit fractions are lessorequal than all unit fractions? Moebius <invalid@example.invalid> - 2024-09-18 22:49 +0200
Re: How many different unit fractions are lessorequal than all unit fractions? Moebius <invalid@example.invalid> - 2024-09-19 02:03 +0200
Re: How many different unit fractions are lessorequal than all unit fractions? Moebius <invalid@example.invalid> - 2024-09-19 02:17 +0200
Re: How many different unit fractions are lessorequal than all unit fractions? "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2024-10-07 20:37 -0700
Re: How many different unit fractions are lessorequal than all unit fractions? WM <wolfgang.mueckenheim@tha.de> - 2024-09-19 14:55 +0200
Re: How many different unit fractions are lessorequal than all unit fractions? "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2024-09-19 12:13 -0700
Re: How many different unit fractions are lessorequal than all unit fractions? Moebius <invalid@example.invalid> - 2024-09-19 23:13 +0200
Re: How many different unit fractions are lessorequal than all unit fractions? WM <wolfgang.mueckenheim@tha.de> - 2024-09-20 20:33 +0200
Re: How many different unit fractions are lessorequal than all unit fractions? Richard Damon <richard@damon-family.org> - 2024-09-20 19:06 -0400
Re: How many different unit fractions are lessorequal than all unit fractions? WM <wolfgang.mueckenheim@tha.de> - 2024-09-21 15:57 +0200
Re: How many different unit fractions are lessorequal than all unit fractions? Richard Damon <richard@damon-family.org> - 2024-09-21 19:25 -0400
Re: How many different unit fractions are lessorequal than all unit fractions? "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2024-09-21 16:48 -0700
Re: How many different unit fractions are lessorequal than all unit fractions? Moebius <invalid@example.invalid> - 2024-09-22 03:03 +0200
Re: How many different unit fractions are lessorequal than all unit fractions? "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2024-09-21 20:52 -0700
Re: How many different unit fractions are lessorequal than all unit fractions? FromTheRafters <FTR@nomail.afraid.org> - 2024-09-22 07:02 -0400
Re: How many different unit fractions are lessorequal than all unit fractions? "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2024-09-22 12:00 -0700
Re: How many different unit fractions are lessorequal than all unit fractions? WM <wolfgang.mueckenheim@tha.de> - 2024-09-22 15:28 +0200
Re: How many different unit fractions are lessorequal than all unit fractions? joes <noreply@example.org> - 2024-09-24 08:00 +0000
Re: How many different unit fractions are lessorequal than all unit fractions? Jim Burns <james.g.burns@att.net> - 2024-09-24 12:49 -0400
Re: How many different unit fractions are lessorequal than all unit fractions? WM <wolfgang.mueckenheim@tha.de> - 2024-09-24 21:43 +0200
Re: How many different unit fractions are lessorequal than all unit fractions? Richard Damon <richard@damon-family.org> - 2024-09-25 07:53 -0400
Re: How many different unit fractions are lessorequal than all unit fractions? WM <wolfgang.mueckenheim@tha.de> - 2024-09-25 17:23 +0200
Re: How many different unit fractions are lessorequal than all unit fractions? joes <noreply@example.org> - 2024-09-25 16:43 +0000
Re: How many different unit fractions are lessorequal than all unit fractions? Moebius <invalid@example.invalid> - 2024-09-25 18:53 +0200
Re: How many different unit fractions are lessorequal than all unit fractions? WM <wolfgang.mueckenheim@tha.de> - 2024-09-27 21:08 +0200
Re: How many different unit fractions are lessorequal than all unit fractions? joes <noreply@example.org> - 2024-09-27 19:51 +0000
Re: How many different unit fractions are lessorequal than all unit fractions? WM <wolfgang.mueckenheim@tha.de> - 2024-09-29 20:52 +0200
Re: How many different unit fractions are lessorequal than all unit fractions? FromTheRafters <FTR@nomail.afraid.org> - 2024-09-27 18:08 -0400
Re: How many different unit fractions are lessorequal than all unit fractions? WM <wolfgang.mueckenheim@tha.de> - 2024-09-29 21:49 +0200
Re: How many different unit fractions are lessorequal than all unit fractions? FromTheRafters <FTR@nomail.afraid.org> - 2024-09-29 18:29 -0400
Re: How many different unit fractions are lessorequal than all unit fractions? "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2024-09-29 17:21 -0700
Re: How many different unit fractions are lessorequal than all unit fractions? FromTheRafters <FTR@nomail.afraid.org> - 2024-09-30 06:50 -0400
Re: How many different unit fractions are lessorequal than all unit fractions? "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2024-09-30 16:59 -0700
Re: How many different unit fractions are lessorequal than all unit fractions? WM <wolfgang.mueckenheim@tha.de> - 2024-09-30 17:15 +0200
Re: How many different unit fractions are lessorequal than all unit fractions? Richard Damon <richard@damon-family.org> - 2024-09-30 19:14 -0400
Re: How many different unit fractions are lessorequal than all unit fractions? WM <wolfgang.mueckenheim@tha.de> - 2024-10-01 19:39 +0200
Re: How many different unit fractions are lessorequal than all unit fractions? Richard Damon <richard@damon-family.org> - 2024-10-02 07:17 -0400
Re: How many different unit fractions are lessorequal than all unit fractions? WM <wolfgang.mueckenheim@tha.de> - 2024-10-02 13:57 +0200
Re: How many different unit fractions are lessorequal than all unit fractions? Richard Damon <richard@damon-family.org> - 2024-10-02 19:03 -0400
Re: How many different unit fractions are lessorequal than all unit fractions? WM <wolfgang.mueckenheim@tha.de> - 2024-10-03 20:34 +0200
Re: How many different unit fractions are lessorequal than all unit fractions? Richard Damon <richard@damon-family.org> - 2024-10-03 18:55 -0400
Re: How many different unit fractions are lessorequal than all unit fractions? WM <wolfgang.mueckenheim@tha.de> - 2024-10-04 11:23 +0200
Re: How many different unit fractions are lessorequal than all unit fractions? Richard Damon <richard@damon-family.org> - 2024-10-04 06:53 -0400
Re: How many different unit fractions are lessorequal than all unit fractions? joes <noreply@example.org> - 2024-10-04 15:10 +0000
Re: How many different unit fractions are lessorequal than all unit fractions? Moebius <invalid@example.invalid> - 2024-10-04 17:36 +0200
Re: How many different unit fractions are lessorequal than all unit fractions? WM <wolfgang.mueckenheim@tha.de> - 2024-10-04 20:36 +0200
Re: How many different unit fractions are lessorequal than all unit fractions? FromTheRafters <FTR@nomail.afraid.org> - 2024-10-04 16:47 -0400
Re: How many different unit fractions are lessorequal than all unit fractions? "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2024-10-04 14:26 -0700
Re: How many different unit fractions are lessorequal than all unit fractions? FromTheRafters <FTR@nomail.afraid.org> - 2024-10-04 18:37 -0400
Re: How many different unit fractions are lessorequal than all unit fractions? Ross Finlayson <ross.a.finlayson@gmail.com> - 2024-10-04 17:42 -0700
Re: How many different unit fractions are lessorequal than all unit fractions? WM <wolfgang.mueckenheim@tha.de> - 2024-10-05 11:17 +0200
Re: How many different unit fractions are lessorequal than all unit fractions? "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2024-10-09 19:26 -0700
Re: How many different unit fractions are lessorequal than all unit fractions? Moebius <invalid@example.invalid> - 2024-10-10 11:37 +0200
Re: How many different unit fractions are lessorequal than all unit fractions? WM <wolfgang.mueckenheim@tha.de> - 2024-10-05 11:14 +0200
Re: How many different unit fractions are lessorequal than all unit fractions? Richard Damon <richard@damon-family.org> - 2024-10-04 18:45 -0400
Re: How many different unit fractions are lessorequal than all unit fractions? WM <wolfgang.mueckenheim@tha.de> - 2024-10-05 11:18 +0200
Re: How many different unit fractions are lessorequal than all unit fractions? Richard Damon <richard@damon-family.org> - 2024-10-05 07:01 -0400
Re: How many different unit fractions are lessorequal than all unit fractions? WM <wolfgang.mueckenheim@tha.de> - 2024-10-05 14:15 +0200
Re: How many different unit fractions are lessorequal than all unit fractions? Richard Damon <richard@damon-family.org> - 2024-10-05 09:28 -0400
Re: How many different unit fractions are lessorequal than all unit fractions? WM <wolfgang.mueckenheim@tha.de> - 2024-10-05 20:58 +0200
Re: How many different unit fractions are lessorequal than all unit fractions? "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2024-10-05 14:36 -0700
Re: How many different unit fractions are lessorequal than all unit fractions? Richard Damon <richard@damon-family.org> - 2024-10-05 22:51 -0400
Re: How many different unit fractions are lessorequal than all unit fractions? WM <wolfgang.mueckenheim@tha.de> - 2024-10-06 13:45 +0200
Re: How many different unit fractions are lessorequal than all unit fractions? Richard Damon <richard@damon-family.org> - 2024-10-06 13:05 -0400
Re: How many different unit fractions are lessorequal than all unit fractions? WM <wolfgang.mueckenheim@tha.de> - 2024-10-07 10:53 +0200
Re: How many different unit fractions are lessorequal than all unit fractions? Richard Damon <richard@damon-family.org> - 2024-10-07 07:08 -0400
Re: How many different unit fractions are lessorequal than all unit fractions? WM <wolfgang.mueckenheim@tha.de> - 2024-10-08 10:28 +0200
Re: How many different unit fractions are lessorequal than all unit fractions? Richard Damon <richard@damon-family.org> - 2024-10-08 08:13 -0400
Re: How many different unit fractions are lessorequal than all unit fractions? WM <wolfgang.mueckenheim@tha.de> - 2024-10-08 16:43 +0200
Re: How many different unit fractions are lessorequal than all unit fractions? Richard Damon <richard@damon-family.org> - 2024-10-08 14:01 -0400
Re: How many different unit fractions are lessorequal than all unit fractions? "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2024-10-08 12:17 -0700
Re: How many different unit fractions are lessorequal than all unit fractions? WM <wolfgang.mueckenheim@tha.de> - 2024-10-09 11:35 +0200
Re: How many different unit fractions are lessorequal than all unit fractions? "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2024-10-07 12:56 -0700
Re: How many different unit fractions are lessorequal than all unit fractions? WM <wolfgang.mueckenheim@tha.de> - 2024-10-06 15:42 +0200
Re: How many different unit fractions are lessorequal than all unit fractions? Richard Damon <richard@damon-family.org> - 2024-10-06 13:11 -0400
Re: How many different unit fractions are lessorequal than all unit fractions? WM <wolfgang.mueckenheim@tha.de> - 2024-10-07 10:56 +0200
Re: How many different unit fractions are lessorequal than all unit fractions? joes <noreply@example.org> - 2024-10-07 11:06 +0000
Re: How many different unit fractions are lessorequal than all unit fractions? Richard Damon <richard@damon-family.org> - 2024-10-07 07:12 -0400
Re: How many different unit fractions are lessorequal than all unit fractions? WM <wolfgang.mueckenheim@tha.de> - 2024-10-08 10:31 +0200
Re: How many different unit fractions are lessorequal than all unit fractions? Richard Damon <richard@damon-family.org> - 2024-10-08 08:20 -0400
Re: How many different unit fractions are lessorequal than all unit fractions? "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2024-10-07 12:57 -0700
Re: How many different unit fractions are lessorequal than all unit fractions? joes <noreply@example.org> - 2024-10-06 11:35 +0000
Re: How many different unit fractions are lessorequal than all unit fractions? WM <wolfgang.mueckenheim@tha.de> - 2024-10-06 15:58 +0200
Re: How many different unit fractions are lessorequal than all unit fractions? Richard Damon <richard@damon-family.org> - 2024-10-06 13:12 -0400
Re: How many different unit fractions are lessorequal than all unit fractions? "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2024-10-05 14:35 -0700
Re: How many different unit fractions are lessorequal than all unit fractions? WM <wolfgang.mueckenheim@tha.de> - 2024-10-04 20:34 +0200
Re: How many different unit fractions are lessorequal than all unit fractions? Richard Damon <richard@damon-family.org> - 2024-10-04 18:46 -0400
Re: How many different unit fractions are lessorequal than all unit fractions? WM <wolfgang.mueckenheim@tha.de> - 2024-10-05 11:20 +0200
Re: How many different unit fractions are lessorequal than all unit fractions? Richard Damon <richard@damon-family.org> - 2024-10-05 07:08 -0400
Re: How many different unit fractions are lessorequal than all unit fractions? Alan Mackenzie <acm@muc.de> - 2024-10-05 12:48 +0000
Re: How many different unit fractions are lessorequal than all unit fractions? joes <noreply@example.org> - 2024-10-04 09:00 +0000
Re: How many different unit fractions are lessorequal than all unit fractions? WM <wolfgang.mueckenheim@tha.de> - 2024-10-04 11:56 +0200
Re: How many different unit fractions are lessorequal than all unit fractions? joes <noreply@example.org> - 2024-10-04 10:55 +0000
Re: How many different unit fractions are lessorequal than all unit fractions? "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2024-09-30 16:59 -0700
Re: How many different unit fractions are lessorequal than all unit fractions? Richard Damon <richard@damon-family.org> - 2024-09-30 07:04 -0400
Re: How many different unit fractions are lessorequal than all unit fractions? Richard Damon <richard@damon-family.org> - 2024-09-28 07:08 -0400
Re: How many different unit fractions are lessorequal than all unit fractions? "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2024-10-04 12:00 -0700
Re: How many different unit fractions are lessorequal than all unit fractions? Richard Damon <richard@damon-family.org> - 2024-09-25 12:57 -0400
Re: How many different unit fractions are lessorequal than all unit fractions? WM <wolfgang.mueckenheim@tha.de> - 2024-09-24 21:38 +0200
Re: How many different unit fractions are lessorequal than all unit fractions? "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2024-09-24 13:19 -0700
Re: How many different unit fractions are lessorequal than all unit fractions? joes <noreply@example.org> - 2024-09-24 20:51 +0000
Re: How many different unit fractions are lessorequal than all unit fractions? WM <wolfgang.mueckenheim@tha.de> - 2024-09-25 17:09 +0200
Re: How many different unit fractions are lessorequal than all unit fractions? Richard Damon <richard@damon-family.org> - 2024-09-25 13:02 -0400
Re: How many different unit fractions are lessorequal than all unit fractions? Richard Damon <richard@damon-family.org> - 2024-09-25 07:54 -0400
Re: How many different unit fractions are lessorequal than all unit fractions? WM <wolfgang.mueckenheim@tha.de> - 2024-09-25 17:26 +0200
Re: How many different unit fractions are lessorequal than all unit fractions? Richard Damon <richard@damon-family.org> - 2024-09-25 13:05 -0400
Re: How many different unit fractions are lessorequal than all unit fractions? "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2024-09-25 12:35 -0700
Re: How many different unit fractions are lessorequal than all unit fractions? Moebius <invalid@example.invalid> - 2024-09-25 21:56 +0200
Re: How many different unit fractions are lessorequal than all unit fractions? Ross Finlayson <ross.a.finlayson@gmail.com> - 2024-09-25 12:57 -0700
Re: How many different unit fractions are lessorequal than all unit fractions? "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2024-09-25 13:44 -0700
Re: How many different unit fractions are lessorequal than all unit fractions? "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2024-09-20 16:23 -0700
Re: How many different unit fractions are lessorequal than all unit fractions? Moebius <invalid@example.invalid> - 2024-09-21 03:03 +0200
Re: How many different unit fractions are lessorequal than all unit fractions? "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2024-09-20 18:36 -0700
Re: How many different unit fractions are lessorequal than all unit fractions? Richard Damon <richard@damon-family.org> - 2024-09-19 23:39 -0400
Re: How many different unit fractions are lessorequal than all unit fractions? WM <wolfgang.mueckenheim@tha.de> - 2024-09-20 20:09 +0200
Re: How many different unit fractions are lessorequal than all unit fractions? "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2024-09-20 12:13 -0700
Re: How many different unit fractions are lessorequal than all unit fractions? Jim Burns <james.g.burns@att.net> - 2024-09-20 15:31 -0400
Re: How many different unit fractions are lessorequal than all unit fractions? Richard Damon <richard@damon-family.org> - 2024-09-20 19:08 -0400
Re: How many different unit fractions are lessorequal than all unit fractions? Moebius <invalid@example.invalid> - 2024-09-19 02:31 +0200
Re: How many different unit fractions are lessorequal than all unit fractions? "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2024-09-18 18:44 -0700
Re: How many different unit fractions are lessorequal than all unit fractions? "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2024-09-19 14:27 -0700
Re: How many different unit fractions are lessorequal than all unit fractions? Moebius <invalid@example.invalid> - 2024-09-20 01:27 +0200
Re: How many different unit fractions are lessorequal than all unit fractions? "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2024-10-09 20:11 -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? "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2024-10-18 11:13 -0700
Re: How many different unit fractions are lessorequal than all unit fractions? Jim Burns <james.g.burns@att.net> - 2024-10-18 16:11 -0400
Re: How many different unit fractions are lessorequal than all unit fractions? FromTheRafters <FTR@nomail.afraid.org> - 2024-10-18 16:55 -0400
Re: How many different unit fractions are lessorequal than all unit fractions? "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2024-10-18 14:01 -0700
Re: How many different unit fractions are lessorequal than all unit fractions? FromTheRafters <FTR@nomail.afraid.org> - 2024-10-18 17:15 -0400
Re: How many different unit fractions are lessorequal than all unit fractions? "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2024-10-18 14:22 -0700
Re: How many different unit fractions are lessorequal than all unit fractions? WM <wolfgang.mueckenheim@tha.de> - 2024-09-18 14:39 +0200
Re: How many different unit fractions are lessorequal than all unit fractions? Jim Burns <james.g.burns@att.net> - 2024-09-18 10:31 -0400
Re: How many different unit fractions are lessorequal than all unit fractions? WM <wolfgang.mueckenheim@tha.de> - 2024-09-19 12:38 +0200
Re: How many different unit fractions are lessorequal than all unit fractions? joes <noreply@example.org> - 2024-09-19 12:36 +0000
Re: How many different unit fractions are lessorequal than all unit fractions? WM <wolfgang.mueckenheim@tha.de> - 2024-09-19 15:03 +0200
Re: How many different unit fractions are lessorequal than all unit fractions? Jim Burns <james.g.burns@att.net> - 2024-09-19 14:31 -0400
Re: How many different unit fractions are lessorequal than all unit fractions? WM <wolfgang.mueckenheim@tha.de> - 2024-09-20 20:24 +0200
Re: How many different unit fractions are lessorequal than all unit fractions? Jim Burns <james.g.burns@att.net> - 2024-09-20 15:51 -0400
Re: How many different unit fractions are lessorequal than all unit fractions? WM <wolfgang.mueckenheim@tha.de> - 2024-09-21 22:01 +0200
Re: How many different unit fractions are lessorequal than all unit fractions? Jim Burns <james.g.burns@att.net> - 2024-09-22 13:44 -0400
Re: How many different unit fractions are lessorequal than all unit fractions? WM <wolfgang.mueckenheim@tha.de> - 2024-09-22 20:37 +0200
Re: How many different unit fractions are lessorequal than all unit fractions? "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2024-09-22 11:54 -0700
Re: How many different unit fractions are lessorequal than all unit fractions? Moebius <invalid@example.invalid> - 2024-09-22 21:06 +0200
Re: How many different unit fractions are lessorequal than all unit fractions? (iota-values) Ross Finlayson <ross.a.finlayson@gmail.com> - 2024-09-22 12:09 -0700
Re: How many different unit fractions are lessorequal than all unit fractions? (iota-values) "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2024-09-22 12:16 -0700
Re: How many different unit fractions are lessorequal than all unit fractions? (iota-values) Ross Finlayson <ross.a.finlayson@gmail.com> - 2024-09-22 13:54 -0700
Re: How many different unit fractions are lessorequal than all unit fractions? (iota-values) "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2024-09-22 14:12 -0700
Re: How many different unit fractions are lessorequal than all unit fractions? (iota-values) Ross Finlayson <ross.a.finlayson@gmail.com> - 2024-09-22 19:47 -0700
Re: How many different unit fractions are lessorequal than all unit fractions? (iota-values) "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2024-09-22 20:26 -0700
Re: How many different unit fractions are lessorequal than all unit fractions? (iota-values) Ross Finlayson <ross.a.finlayson@gmail.com> - 2024-09-23 13:53 -0700
Re: How many different unit fractions are lessorequal than all unit fractions? (iota-values) "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2024-09-23 14:46 -0700
Re: How many different unit fractions are lessorequal than all unit fractions? (iota-values) Ross Finlayson <ross.a.finlayson@gmail.com> - 2024-09-23 20:25 -0700
Re: How many different unit fractions are lessorequal than all unit fractions? (iota-values) "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2024-09-23 20:28 -0700
Re: How many different unit fractions are lessorequal than all unit fractions? (iota-values) Ross Finlayson <ross.a.finlayson@gmail.com> - 2024-09-23 20:37 -0700
Re: How many different unit fractions are lessorequal than all unit fractions? (iota-values) "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2024-09-23 20:55 -0700
Re: How many different unit fractions are lessorequal than all unit fractions? Jim Burns <james.g.burns@att.net> - 2024-09-22 16:22 -0400
Re: How many different unit fractions are lessorequal than all unit fractions? WM <wolfgang.mueckenheim@tha.de> - 2024-09-23 14:57 +0200
Re: How many different unit fractions are lessorequal than all unit fractions? Jim Burns <james.g.burns@att.net> - 2024-09-23 13:58 -0400
Re: How many different unit fractions are lessorequal than all unit fractions? WM <wolfgang.mueckenheim@tha.de> - 2024-09-24 21:28 +0200
Re: How many different unit fractions are lessorequal than all unit fractions? Jim Burns <james.g.burns@att.net> - 2024-09-24 16:19 -0400
Re: How many different unit fractions are lessorequal than all unit fractions? WM <wolfgang.mueckenheim@tha.de> - 2024-09-24 22:37 +0200
Re: How many different unit fractions are lessorequal than all unit fractions? Jim Burns <james.g.burns@att.net> - 2024-09-25 00:59 -0400
Re: How many different unit fractions are lessorequal than all unit fractions? WM <wolfgang.mueckenheim@tha.de> - 2024-09-25 17:51 +0200
Re: How many different unit fractions are lessorequal than all unit fractions? joes <noreply@example.org> - 2024-09-25 16:39 +0000
Re: How many different unit fractions are lessorequal than all unit fractions? WM <wolfgang.mueckenheim@tha.de> - 2024-09-27 20:42 +0200
Re: How many different unit fractions are lessorequal than all unit fractions? joes <noreply@example.org> - 2024-09-27 20:12 +0000
Re: How many different unit fractions are lessorequal than all unit fractions? Moebius <invalid@example.invalid> - 2024-09-27 22:19 +0200
Re: How many different unit fractions are lessorequal than all unit fractions? Moebius <invalid@example.invalid> - 2024-09-27 22:20 +0200
Re: How many different unit fractions are lessorequal than all unit fractions? WM <wolfgang.mueckenheim@tha.de> - 2024-09-29 20:56 +0200
Re: How many different unit fractions are lessorequal than all unit fractions? Richard Damon <richard@damon-family.org> - 2024-09-30 07:08 -0400
Re: How many different unit fractions are lessorequal than all unit fractions? "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2024-09-27 21:20 -0700
Re: How many different unit fractions are lessorequal than all unit fractions? Moebius <invalid@example.invalid> - 2024-09-28 22:11 +0200
Re: How many different unit fractions are lessorequal than all unit fractions? Richard Damon <richard@damon-family.org> - 2024-09-28 07:12 -0400
Re: How many different unit fractions are lessorequal than all unit fractions? Jim Burns <james.g.burns@att.net> - 2024-09-25 14:40 -0400
Re: How many different unit fractions are lessorequal than all unit fractions? WM <wolfgang.mueckenheim@tha.de> - 2024-09-27 20:54 +0200
Re: How many different unit fractions are lessorequal than all unit fractions? Richard Damon <richard@damon-family.org> - 2024-09-28 07:24 -0400
Re: How many different unit fractions are lessorequal than all unit fractions? WM <wolfgang.mueckenheim@tha.de> - 2024-09-29 21:08 +0200
Re: How many different unit fractions are lessorequal than all unit fractions? "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2024-09-29 13:53 -0700
Re: How many different unit fractions are lessorequal than all unit fractions? Richard Damon <richard@damon-family.org> - 2024-09-30 07:10 -0400
Re: How many different unit fractions are lessorequal than all unit fractions? Jim Burns <james.g.burns@att.net> - 2024-09-29 15:56 -0400
Re: How many different unit fractions are lessorequal than all unit fractions? WM <wolfgang.mueckenheim@tha.de> - 2024-09-30 17:12 +0200
Re: How many different unit fractions are lessorequal than all unit fractions? Jim Burns <james.g.burns@att.net> - 2024-09-30 14:33 -0400
Re: How many different unit fractions are lessorequal than all unit fractions? WM <wolfgang.mueckenheim@tha.de> - 2024-09-30 20:54 +0200
Re: How many different unit fractions are lessorequal than all unit fractions? Jim Burns <james.g.burns@att.net> - 2024-09-30 15:51 -0400
Re: How many different unit fractions are lessorequal than all unit fractions? WM <wolfgang.mueckenheim@tha.de> - 2024-10-01 19:29 +0200
Re: How many different unit fractions are lessorequal than all unit fractions? Jim Burns <james.g.burns@att.net> - 2024-10-01 16:05 -0400
Re: How many different unit fractions are lessorequal than all unit fractions? WM <wolfgang.mueckenheim@tha.de> - 2024-10-02 13:10 +0200
Re: How many different unit fractions are lessorequal than all unit fractions? FromTheRafters <FTR@nomail.afraid.org> - 2024-10-02 07:30 -0400
Re: How many different unit fractions are lessorequal than all unit fractions? WM <wolfgang.mueckenheim@tha.de> - 2024-10-02 13:54 +0200
Re: How many different unit fractions are lessorequal than all unit fractions? FromTheRafters <FTR@nomail.afraid.org> - 2024-10-02 15:44 -0400
Re: How many different unit fractions are lessorequal than all unit fractions? WM <wolfgang.mueckenheim@tha.de> - 2024-10-03 20:20 +0200
Re: How many different unit fractions are lessorequal than all unit fractions? FromTheRafters <FTR@nomail.afraid.org> - 2024-10-03 14:40 -0400
Re: How many different unit fractions are lessorequal than all unit fractions? WM <wolfgang.mueckenheim@tha.de> - 2024-10-03 21:49 +0200
Re: How many different unit fractions are lessorequal than all unit fractions? FromTheRafters <FTR@nomail.afraid.org> - 2024-10-03 17:00 -0400
Re: How many different unit fractions are lessorequal than all unit fractions? Richard Damon <richard@damon-family.org> - 2024-10-03 21:18 -0400
Re: How many different unit fractions are lessorequal than all unit fractions? joes <noreply@example.org> - 2024-10-04 08:17 +0000
Re: How many different unit fractions are lessorequal than all unit fractions? Moebius <invalid@example.invalid> - 2024-10-04 10:22 +0200
Re: How many different unit fractions are lessorequal than all unit fractions? WM <wolfgang.mueckenheim@tha.de> - 2024-10-04 11:49 +0200
Re: How many different unit fractions are lessorequal than all unit fractions? FromTheRafters <FTR@nomail.afraid.org> - 2024-10-04 06:02 -0400
Re: How many different unit fractions are lessorequal than all unit fractions? WM <wolfgang.mueckenheim@tha.de> - 2024-10-04 12:11 +0200
Re: How many different unit fractions are lessorequal than all unit fractions? FromTheRafters <FTR@nomail.afraid.org> - 2024-10-04 06:38 -0400
Re: How many different unit fractions are lessorequal than all unit fractions? WM <wolfgang.mueckenheim@tha.de> - 2024-10-04 20:25 +0200
Re: How many different unit fractions are lessorequal than all unit fractions? joes <noreply@example.org> - 2024-10-05 08:10 +0000
Re: How many different unit fractions are lessorequal than all unit fractions? Moebius <invalid@example.invalid> - 2024-10-05 10:38 +0200
Re: How many different unit fractions are lessorequal than all unit fractions? WM <wolfgang.mueckenheim@tha.de> - 2024-10-05 11:39 +0200
Re: How many different unit fractions are lessorequal than all unit fractions? Richard Damon <richard@damon-family.org> - 2024-10-05 07:12 -0400
Re: How many different unit fractions are lessorequal than all unit fractions? WM <wolfgang.mueckenheim@tha.de> - 2024-10-05 14:18 +0200
Re: How many different unit fractions are lessorequal than all unit fractions? Richard Damon <richard@damon-family.org> - 2024-10-05 09:32 -0400
Re: How many different unit fractions are lessorequal than all unit fractions? WM <wolfgang.mueckenheim@tha.de> - 2024-10-05 21:04 +0200
Re: How many different unit fractions are lessorequal than all unit fractions? Richard Damon <richard@damon-family.org> - 2024-10-05 22:57 -0400
Re: How many different unit fractions are lessorequal than all unit fractions? WM <wolfgang.mueckenheim@tha.de> - 2024-10-06 13:46 +0200
Re: How many different unit fractions are lessorequal than all unit fractions? Richard Damon <richard@damon-family.org> - 2024-10-06 13:15 -0400
Re: How many different unit fractions are lessorequal than all unit fractions? "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2024-10-05 14:44 -0700
Re: How many different unit fractions are lessorequal than all unit fractions? Alan Mackenzie <acm@muc.de> - 2024-10-05 12:58 +0000
Re: How many different unit fractions are lessorequal than all unit fractions? Richard Damon <richard@damon-family.org> - 2024-10-05 09:35 -0400
Re: How many different unit fractions are lessorequal than all unit fractions? Alan Mackenzie <acm@muc.de> - 2024-10-05 13:57 +0000
Re: How many different unit fractions are lessorequal than all unit fractions? Moebius <invalid@example.invalid> - 2024-10-05 16:55 +0200
Re: How many different unit fractions are lessorequal than all unit fractions? Alan Mackenzie <acm@muc.de> - 2024-10-05 16:05 +0000
Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) Ross Finlayson <ross.a.finlayson@gmail.com> - 2024-10-05 09:21 -0700
Re: How many different unit fractions are lessorequal than all unit fractions? Moebius <invalid@example.invalid> - 2024-10-05 18:54 +0200
Re: How many different unit fractions are lessorequal than all unit fractions? Alan Mackenzie <acm@muc.de> - 2024-10-05 17:08 +0000
Re: How many different unit fractions are lessorequal than all unit fractions? Moebius <invalid@example.invalid> - 2024-10-05 19:09 +0200
Re: How many different unit fractions are lessorequal than all unit fractions? "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2024-10-05 14:48 -0700
Re: How many different unit fractions are lessorequal than all unit fractions? Moebius <invalid@example.invalid> - 2024-10-05 19:13 +0200
Re: How many different unit fractions are lessorequal than all unit fractions? Moebius <invalid@example.invalid> - 2024-10-05 16:57 +0200
Re: How many different unit fractions are lessorequal than all unit fractions? Moebius <invalid@example.invalid> - 2024-10-05 16:58 +0200
Re: How many different unit fractions are lessorequal than all unit fractions? Moebius <invalid@example.invalid> - 2024-10-05 19:17 +0200
Re: How many different unit fractions are lessorequal than all unit fractions? Moebius <invalid@example.invalid> - 2024-10-05 19:18 +0200
Re: How many different unit fractions are lessorequal than all unit fractions? Moebius <invalid@example.invalid> - 2024-10-05 20:57 +0200
Re: How many different unit fractions are lessorequal than all unit fractions? Moebius <invalid@example.invalid> - 2024-10-05 21:02 +0200
Re: How many different unit fractions are lessorequal than all unit fractions? WM <wolfgang.mueckenheim@tha.de> - 2024-10-05 21:15 +0200
Re: How many different unit fractions are lessorequal than all unit fractions? Alan Mackenzie <acm@muc.de> - 2024-10-05 21:57 +0000
Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) Ross Finlayson <ross.a.finlayson@gmail.com> - 2024-10-05 17:37 -0700
Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) Ross Finlayson <ross.a.finlayson@gmail.com> - 2024-10-05 20:23 -0700
Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) Alan Mackenzie <acm@muc.de> - 2024-10-06 10:16 +0000
Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) WM <wolfgang.mueckenheim@tha.de> - 2024-10-06 15:52 +0200
Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) Alan Mackenzie <acm@muc.de> - 2024-10-06 14:52 +0000
Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) WM <wolfgang.mueckenheim@tha.de> - 2024-10-06 17:26 +0200
Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) Alan Mackenzie <acm@muc.de> - 2024-10-06 15:48 +0000
Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) Moebius <invalid@example.invalid> - 2024-10-06 18:14 +0200
Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) WM <wolfgang.mueckenheim@tha.de> - 2024-10-07 10:38 +0200
Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) Richard Damon <richard@damon-family.org> - 2024-10-07 07:14 -0400
Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) WM <wolfgang.mueckenheim@tha.de> - 2024-10-07 09:41 +0200
Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) joes <noreply@example.org> - 2024-10-07 08:05 +0000
Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) WM <wolfgang.mueckenheim@tha.de> - 2024-10-07 11:08 +0200
Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) joes <noreply@example.org> - 2024-10-07 15:18 +0000
Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) WM <wolfgang.mueckenheim@tha.de> - 2024-10-08 12:51 +0200
Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) joes <noreply@example.org> - 2024-10-08 13:24 +0000
Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) WM <wolfgang.mueckenheim@tha.de> - 2024-10-08 17:26 +0200
Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) Richard Damon <richard@damon-family.org> - 2024-10-08 14:01 -0400
Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) WM <wolfgang.mueckenheim@tha.de> - 2024-10-09 11:28 +0200
Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) Richard Damon <richard@damon-family.org> - 2024-10-09 08:02 -0400
Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) joes <noreply@example.org> - 2024-10-08 19:27 +0000
Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) FromTheRafters <FTR@nomail.afraid.org> - 2024-10-08 16:33 -0400
Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) FromTheRafters <FTR@nomail.afraid.org> - 2024-10-08 11:36 -0400
Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) Alan Mackenzie <acm@muc.de> - 2024-10-07 13:19 +0000
Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) FromTheRafters <FTR@nomail.afraid.org> - 2024-10-07 12:04 -0400
Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) Alan Mackenzie <acm@muc.de> - 2024-10-07 16:11 +0000
Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) FromTheRafters <FTR@nomail.afraid.org> - 2024-10-07 13:36 -0400
Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2024-10-07 13:29 -0700
Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) Ross Finlayson <ross.a.finlayson@gmail.com> - 2024-10-07 16:44 -0700
Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) WM <wolfgang.mueckenheim@tha.de> - 2024-10-08 12:22 +0200
Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) FromTheRafters <FTR@nomail.afraid.org> - 2024-10-08 06:37 -0400
Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) Richard Damon <richard@damon-family.org> - 2024-10-08 08:29 -0400
Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2024-10-08 12:51 -0700
Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) Richard Damon <richard@damon-family.org> - 2024-10-08 17:21 -0400
Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2024-10-08 14:40 -0700
Re: Cardinality joes <noreply@example.org> - 2024-10-08 13:39 +0000
Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2024-10-08 12:45 -0700
Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) Alan Mackenzie <acm@muc.de> - 2024-10-08 21:08 +0000
Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) WM <wolfgang.mueckenheim@tha.de> - 2024-10-09 14:48 +0200
Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) Alan Mackenzie <acm@muc.de> - 2024-10-09 14:13 +0000
Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) WM <wolfgang.mueckenheim@tha.de> - 2024-10-09 16:40 +0200
Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) Alan Mackenzie <acm@muc.de> - 2024-10-09 15:11 +0000
Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) WM <wolfgang.mueckenheim@tha.de> - 2024-10-09 17:39 +0200
Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) FromTheRafters <FTR@nomail.afraid.org> - 2024-10-09 12:04 -0400
Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) WM <invalid@no.org> - 2024-10-09 18:41 +0200
Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) FromTheRafters <FTR@nomail.afraid.org> - 2024-10-09 13:57 -0400
Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) FromTheRafters <FTR@nomail.afraid.org> - 2024-10-09 14:07 -0400
Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) WM <wolfgang.mueckenheim@tha.de> - 2024-10-10 20:25 +0200
Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) FromTheRafters <FTR@nomail.afraid.org> - 2024-10-10 15:24 -0400
Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2024-10-10 13:42 -0700
Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) Moebius <invalid@example.invalid> - 2024-10-10 23:41 +0200
Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) Moebius <invalid@example.invalid> - 2024-10-10 23:47 +0200
Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) Moebius <invalid@example.invalid> - 2024-10-11 00:34 +0200
Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2024-10-10 20:22 -0700
Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) Alan Mackenzie <acm@muc.de> - 2024-10-09 16:12 +0000
Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) WM <invalid@no.org> - 2024-10-09 18:47 +0200
Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) Alan Mackenzie <acm@muc.de> - 2024-10-09 19:13 +0000
Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) WM <wolfgang.mueckenheim@tha.de> - 2024-10-10 20:32 +0200
Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) Alan Mackenzie <acm@muc.de> - 2024-10-10 18:45 +0000
Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) WM <wolfgang.mueckenheim@tha.de> - 2024-10-10 20:53 +0200
Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) joes <noreply@example.org> - 2024-10-10 19:54 +0000
Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) WM <wolfgang.mueckenheim@tha.de> - 2024-10-12 19:49 +0200
Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) Tom Bola <Tom@bolamail.etc> - 2024-10-12 20:26 +0200
Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) WM <wolfgang.mueckenheim@tha.de> - 2024-10-12 20:55 +0200
Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) joes <noreply@example.org> - 2024-10-12 19:23 +0000
Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) WM <wolfgang.mueckenheim@tha.de> - 2024-10-12 21:33 +0200
Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) joes <noreply@example.org> - 2024-10-12 22:50 +0000
Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) Tom Bola <Tom@bolamail.etc> - 2024-10-12 22:29 +0200
Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2024-10-12 13:36 -0700
Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) Richard Damon <richard@damon-family.org> - 2024-10-12 16:47 -0400
Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) WM <wolfgang.mueckenheim@tha.de> - 2024-10-14 12:28 +0200
Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) FromTheRafters <FTR@nomail.afraid.org> - 2024-10-14 07:11 -0400
Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) joes <noreply@example.org> - 2024-10-14 12:02 +0000
Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) WM <wolfgang.mueckenheim@tha.de> - 2024-10-14 15:37 +0200
Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) joes <noreply@example.org> - 2024-10-14 16:01 +0000
Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2024-10-14 15:22 -0700
Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) Richard Damon <richard@damon-family.org> - 2024-10-12 16:47 -0400
Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) WM <wolfgang.mueckenheim@tha.de> - 2024-10-14 12:26 +0200
Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) joes <noreply@example.org> - 2024-10-14 12:15 +0000
Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) WM <wolfgang.mueckenheim@tha.de> - 2024-10-14 15:40 +0200
Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) joes <noreply@example.org> - 2024-10-14 16:04 +0000
Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) Moebius <invalid@example.invalid> - 2024-10-14 18:15 +0200
Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) Moebius <invalid@example.invalid> - 2024-10-14 18:20 +0200
Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2024-10-20 19:04 -0700
Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) Moebius <invalid@example.invalid> - 2024-10-21 22:19 +0200
Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2024-10-21 14:05 -0700
Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) WM <wolfgang.mueckenheim@tha.de> - 2024-10-14 18:37 +0200
Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2024-10-14 15:27 -0700
Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) WM <wolfgang.mueckenheim@tha.de> - 2024-10-16 10:30 +0200
Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) FromTheRafters <FTR@nomail.afraid.org> - 2024-10-16 05:19 -0400
Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) Richard Damon <richard@damon-family.org> - 2024-10-16 07:54 -0400
Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) WM <wolfgang.mueckenheim@tha.de> - 2024-10-16 17:20 +0200
Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) FromTheRafters <FTR@nomail.afraid.org> - 2024-10-16 12:09 -0400
Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) WM <wolfgang.mueckenheim@tha.de> - 2024-10-16 18:58 +0200
Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2024-10-16 11:04 -0700
Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) FromTheRafters <FTR@nomail.afraid.org> - 2024-10-16 15:48 -0400
Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) WM <wolfgang.mueckenheim@tha.de> - 2024-10-17 20:14 +0200
Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) FromTheRafters <FTR@nomail.afraid.org> - 2024-10-17 15:21 -0400
Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) joes <noreply@example.org> - 2024-10-18 08:05 +0000
Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) FromTheRafters <FTR@nomail.afraid.org> - 2024-10-16 15:43 -0400
Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) Richard Damon <richard@damon-family.org> - 2024-10-16 20:18 -0400
Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2024-10-16 11:02 -0700
Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) Richard Damon <richard@damon-family.org> - 2024-10-16 20:18 -0400
Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) WM <wolfgang.mueckenheim@tha.de> - 2024-10-17 20:46 +0200
Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) FromTheRafters <FTR@nomail.afraid.org> - 2024-10-17 15:23 -0400
Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) Richard Damon <richard@damon-family.org> - 2024-10-17 21:26 -0400
Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) WM <wolfgang.mueckenheim@tha.de> - 2024-10-19 10:23 +0200
Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) Richard Damon <richard@damon-family.org> - 2024-10-19 07:26 -0400
Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) joes <noreply@example.org> - 2024-10-20 23:04 +0000
Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) WM <wolfgang.mueckenheim@tha.de> - 2024-10-21 09:14 +0200
Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2024-10-21 00:37 -0700
Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) WM <wolfgang.mueckenheim@tha.de> - 2024-10-21 10:02 +0200
Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) Moebius <invalid@example.invalid> - 2024-10-21 22:17 +0200
Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) joes <noreply@example.org> - 2024-10-21 08:17 +0000
Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2024-10-16 10:59 -0700
Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) joes <noreply@example.org> - 2024-10-15 15:51 +0000
Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) Ross Finlayson <ross.a.finlayson@gmail.com> - 2024-10-15 11:29 -0700
Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) Ross Finlayson <ross.a.finlayson@gmail.com> - 2024-10-15 13:22 -0700
Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) WM <wolfgang.mueckenheim@tha.de> - 2024-10-16 10:19 +0200
Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) Richard Damon <richard@damon-family.org> - 2024-10-16 07:54 -0400
Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2024-10-16 10:55 -0700
Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2024-10-16 11:06 -0700
Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2024-10-16 11:08 -0700
Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2024-10-16 11:09 -0700
Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) Ross Finlayson <ross.a.finlayson@gmail.com> - 2024-10-16 18:05 -0700
Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) Jim Burns <james.g.burns@att.net> - 2024-10-17 07:25 -0400
Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) Ross Finlayson <ross.a.finlayson@gmail.com> - 2024-10-17 11:20 -0700
Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) FromTheRafters <FTR@nomail.afraid.org> - 2024-10-17 15:39 -0400
Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) Ross Finlayson <ross.a.finlayson@gmail.com> - 2024-10-17 21:56 -0700
Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) FromTheRafters <FTR@nomail.afraid.org> - 2024-10-18 05:05 -0400
Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) Ross Finlayson <ross.a.finlayson@gmail.com> - 2024-10-18 13:50 -0700
Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) FromTheRafters <FTR@nomail.afraid.org> - 2024-10-18 17:09 -0400
Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) Jim Burns <james.g.burns@att.net> - 2024-10-18 18:53 -0400
Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) WM <wolfgang.mueckenheim@tha.de> - 2024-10-19 09:59 +0200
Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) Richard Damon <richard@damon-family.org> - 2024-10-19 22:48 -0400
Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) Jim Burns <james.g.burns@att.net> - 2024-10-18 08:26 -0400
Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) WM <wolfgang.mueckenheim@tha.de> - 2024-10-19 10:28 +0200
Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) FromTheRafters <FTR@nomail.afraid.org> - 2024-10-19 06:04 -0400
Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) WM <wolfgang.mueckenheim@tha.de> - 2024-10-19 13:00 +0200
Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) FromTheRafters <FTR@nomail.afraid.org> - 2024-10-19 07:07 -0400
Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) Jim Burns <james.g.burns@att.net> - 2024-10-19 06:56 -0400
Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) WM <wolfgang.mueckenheim@tha.de> - 2024-10-19 13:10 +0200
Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) FromTheRafters <FTR@nomail.afraid.org> - 2024-10-19 07:15 -0400
Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) WM <wolfgang.mueckenheim@tha.de> - 2024-10-19 13:53 +0200
Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) FromTheRafters <FTR@nomail.afraid.org> - 2024-10-19 10:08 -0400
Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) WM <wolfgang.mueckenheim@tha.de> - 2024-10-19 18:50 +0200
Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) Jim Burns <james.g.burns@att.net> - 2024-10-19 14:12 -0400
Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) WM <wolfgang.mueckenheim@tha.de> - 2024-10-19 20:28 +0200
Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) Jim Burns <james.g.burns@att.net> - 2024-10-19 18:08 -0400
Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) WM <wolfgang.mueckenheim@tha.de> - 2024-10-20 09:40 +0200
Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) FromTheRafters <FTR@nomail.afraid.org> - 2024-10-20 07:20 -0400
Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) Richard Damon <richard@damon-family.org> - 2024-10-20 07:50 -0400
Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) FromTheRafters <FTR@nomail.afraid.org> - 2024-10-20 10:17 -0400
Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2024-10-20 11:58 -0700
Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) FromTheRafters <FTR@nomail.afraid.org> - 2024-10-20 16:34 -0400
Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) Jim Burns <james.g.burns@att.net> - 2024-10-20 14:50 -0400
Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) WM <wolfgang.mueckenheim@tha.de> - 2024-10-20 21:34 +0200
Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) FromTheRafters <FTR@nomail.afraid.org> - 2024-10-20 16:42 -0400
Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) joes <noreply@example.org> - 2024-10-22 20:56 +0000
Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) joes <noreply@example.org> - 2024-10-20 23:06 +0000
Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) Moebius <invalid@example.invalid> - 2024-10-21 01:22 +0200
Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) Moebius <invalid@example.invalid> - 2024-10-21 01:28 +0200
Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2024-10-20 19:02 -0700
Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) FromTheRafters <FTR@nomail.afraid.org> - 2024-10-19 07:11 -0400
Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) Richard Damon <richard@damon-family.org> - 2024-10-19 22:48 -0400
Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) WM <wolfgang.mueckenheim@tha.de> - 2024-10-20 09:51 +0200
Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) FromTheRafters <FTR@nomail.afraid.org> - 2024-10-20 07:13 -0400
Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) Richard Damon <richard@damon-family.org> - 2024-10-20 07:53 -0400
Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) joes <noreply@example.org> - 2024-10-20 22:43 +0000
Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) Moebius <invalid@example.invalid> - 2024-10-21 01:20 +0200
Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) WM <wolfgang.mueckenheim@tha.de> - 2024-10-21 09:17 +0200
Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2024-10-17 13:21 -0700
Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) Moebius <invalid@example.invalid> - 2024-10-17 22:29 +0200
Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2024-10-17 16:04 -0700
Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) WM <wolfgang.mueckenheim@tha.de> - 2024-10-16 10:26 +0200
Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) Richard Damon <richard@damon-family.org> - 2024-10-16 07:54 -0400
Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) Richard Damon <richard@damon-family.org> - 2024-10-15 22:45 -0400
Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) WM <wolfgang.mueckenheim@tha.de> - 2024-10-16 10:17 +0200
Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) Richard Damon <richard@damon-family.org> - 2024-10-16 07:54 -0400
Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2024-10-16 10:55 -0700
Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) FromTheRafters <FTR@nomail.afraid.org> - 2024-10-16 15:52 -0400
Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2024-10-16 13:21 -0700
Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2024-10-16 13:25 -0700
Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2024-10-16 13:28 -0700
Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) Richard Damon <richard@damon-family.org> - 2024-10-15 22:45 -0400
Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) Richard Damon <richard@damon-family.org> - 2024-10-15 22:40 -0400
Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) joes <noreply@example.org> - 2024-10-12 22:50 +0000
Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) WM <wolfgang.mueckenheim@tha.de> - 2024-10-14 13:35 +0200
Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) joes <noreply@example.org> - 2024-10-14 11:57 +0000
Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) Richard Damon <richard@damon-family.org> - 2024-10-10 21:38 -0400
Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) Ross Finlayson <ross.a.finlayson@gmail.com> - 2024-10-10 19:51 -0700
Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) WM <wolfgang.mueckenheim@tha.de> - 2024-10-12 20:19 +0200
Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) Richard Damon <richard@damon-family.org> - 2024-10-12 16:47 -0400
Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) WM <wolfgang.mueckenheim@tha.de> - 2024-10-14 12:31 +0200
Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) joes <noreply@example.org> - 2024-10-14 12:17 +0000
Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) Richard Damon <richard@damon-family.org> - 2024-10-15 22:45 -0400
Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) WM <wolfgang.mueckenheim@tha.de> - 2024-10-16 09:23 +0200
Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) Richard Damon <richard@damon-family.org> - 2024-10-16 07:54 -0400
Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) Moebius <invalid@example.invalid> - 2024-10-10 21:07 +0200
Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) Moebius <invalid@example.invalid> - 2024-10-10 21:11 +0200
Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) Moebius <invalid@example.invalid> - 2024-10-10 21:12 +0200
Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) Richard Damon <richard@damon-family.org> - 2024-10-10 21:38 -0400
Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2024-10-10 20:19 -0700
Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) FromTheRafters <FTR@nomail.afraid.org> - 2024-10-11 05:55 -0400
Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2024-10-11 12:29 -0700
Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) Richard Damon <richard@damon-family.org> - 2024-10-11 07:06 -0400
Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) Jim Burns <james.g.burns@att.net> - 2024-10-11 14:02 -0400
Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) Ross Finlayson <ross.a.finlayson@gmail.com> - 2024-10-11 13:48 -0700
Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) Jim Burns <james.g.burns@att.net> - 2024-10-12 20:02 -0400
Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) Richard Damon <richard@damon-family.org> - 2024-10-11 18:12 -0400
Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) WM <wolfgang.mueckenheim@tha.de> - 2024-10-12 20:39 +0200
Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) Richard Damon <richard@damon-family.org> - 2024-10-12 16:47 -0400
Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) WM <wolfgang.mueckenheim@tha.de> - 2024-10-14 12:35 +0200
Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) joes <noreply@example.org> - 2024-10-14 12:00 +0000
Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) WM <wolfgang.mueckenheim@tha.de> - 2024-10-14 15:34 +0200
Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) joes <noreply@example.org> - 2024-10-14 15:53 +0000
Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) WM <wolfgang.mueckenheim@tha.de> - 2024-10-14 18:29 +0200
Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) Richard Damon <richard@damon-family.org> - 2024-10-15 22:40 -0400
Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) WM <wolfgang.mueckenheim@tha.de> - 2024-10-16 10:33 +0200
Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) Richard Damon <richard@damon-family.org> - 2024-10-16 07:54 -0400
Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) Richard Damon <richard@damon-family.org> - 2024-10-15 22:40 -0400
Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) Richard Damon <richard@damon-family.org> - 2024-10-15 22:41 -0400
Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) Jim Burns <james.g.burns@att.net> - 2024-10-13 11:34 -0400
Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2024-10-11 12:29 -0700
Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) Richard Damon <richard@damon-family.org> - 2024-10-11 18:15 -0400
Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2024-10-11 20:51 -0700
Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) Moebius <invalid@example.invalid> - 2024-10-13 11:39 +0200
Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) WM <wolfgang.mueckenheim@tha.de> - 2024-10-12 20:25 +0200
Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) Richard Damon <richard@damon-family.org> - 2024-10-12 16:47 -0400
Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) joes <noreply@example.org> - 2024-10-10 19:48 +0000
Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) WM <wolfgang.mueckenheim@tha.de> - 2024-10-12 15:32 +0200
Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) Richard Damon <richard@damon-family.org> - 2024-10-12 10:55 -0400
Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) WM <wolfgang.mueckenheim@tha.de> - 2024-10-12 20:50 +0200
Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) FromTheRafters <FTR@nomail.afraid.org> - 2024-10-12 16:07 -0400
Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) WM <wolfgang.mueckenheim@tha.de> - 2024-10-14 12:20 +0200
Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) FromTheRafters <FTR@nomail.afraid.org> - 2024-10-14 07:14 -0400
Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) Richard Damon <richard@damon-family.org> - 2024-10-15 22:40 -0400
Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) WM <wolfgang.mueckenheim@tha.de> - 2024-10-14 12:21 +0200
Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) joes <noreply@example.org> - 2024-10-14 12:04 +0000
Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) Moebius <invalid@example.invalid> - 2024-10-14 15:24 +0200
Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) WM <wolfgang.mueckenheim@tha.de> - 2024-10-14 12:20 +0200
Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) Richard Damon <richard@damon-family.org> - 2024-10-12 16:47 -0400
Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) joes <noreply@example.org> - 2024-10-12 17:10 +0000
Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) WM <wolfgang.mueckenheim@tha.de> - 2024-10-12 20:59 +0200
Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) WM <invalid@no.org> - 2024-10-09 18:56 +0200
Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) joes <noreply@example.org> - 2024-10-09 17:47 +0000
Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) WM <wolfgang.mueckenheim@tha.de> - 2024-10-10 20:18 +0200
Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) joes <noreply@example.org> - 2024-10-09 17:40 +0000
Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) WM <wolfgang.mueckenheim@tha.de> - 2024-10-10 20:12 +0200
Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) joes <noreply@example.org> - 2024-10-12 22:44 +0000
Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) Moebius <invalid@example.invalid> - 2024-10-13 10:34 +0200
Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) WM <wolfgang.mueckenheim@tha.de> - 2024-10-14 15:13 +0200
Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) Jim Burns <james.g.burns@att.net> - 2024-10-10 16:47 -0400
Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) Ross Finlayson <ross.a.finlayson@gmail.com> - 2024-10-10 17:54 -0700
Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) Jim Burns <james.g.burns@att.net> - 2024-10-11 00:22 -0400
Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) Ross Finlayson <ross.a.finlayson@gmail.com> - 2024-10-11 09:48 -0700
Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) Jim Burns <james.g.burns@att.net> - 2024-10-11 14:47 -0400
Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) WM <wolfgang.mueckenheim@tha.de> - 2024-10-12 20:06 +0200
Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) Jim Burns <james.g.burns@att.net> - 2024-10-13 12:28 -0400
Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) WM <wolfgang.mueckenheim@tha.de> - 2024-10-14 16:43 +0200
Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) Jim Burns <james.g.burns@att.net> - 2024-10-14 13:13 -0400
Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) WM <wolfgang.mueckenheim@tha.de> - 2024-10-14 20:07 +0200
Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) Jim Burns <james.g.burns@att.net> - 2024-10-14 15:47 -0400
Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) WM <wolfgang.mueckenheim@tha.de> - 2024-10-14 22:03 +0200
Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) Jim Burns <james.g.burns@att.net> - 2024-10-14 20:00 -0400
Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) WM <wolfgang.mueckenheim@tha.de> - 2024-10-16 10:27 +0200
Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) WM <wolfgang.mueckenheim@tha.de> - 2024-10-16 10:50 +0200
Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) Richard Damon <richard@damon-family.org> - 2024-10-16 07:54 -0400
Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) WM <wolfgang.mueckenheim@tha.de> - 2024-10-16 19:18 +0200
Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) Richard Damon <richard@damon-family.org> - 2024-10-16 20:18 -0400
Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) WM <wolfgang.mueckenheim@tha.de> - 2024-10-17 20:46 +0200
Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2024-10-17 13:17 -0700
Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) Richard Damon <richard@damon-family.org> - 2024-10-17 21:26 -0400
Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) WM <wolfgang.mueckenheim@tha.de> - 2024-10-19 11:24 +0200
Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) joes <noreply@example.org> - 2024-10-19 11:21 +0000
Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) Moebius <invalid@example.invalid> - 2024-10-19 14:06 +0200
Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) WM <wolfgang.mueckenheim@tha.de> - 2024-10-19 15:18 +0200
Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) joes <noreply@example.org> - 2024-10-19 15:27 +0000
Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) WM <wolfgang.mueckenheim@tha.de> - 2024-10-19 20:09 +0200
Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) FromTheRafters <FTR@nomail.afraid.org> - 2024-10-19 10:09 -0400
Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) Richard Damon <richard@damon-family.org> - 2024-10-19 22:48 -0400
Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) WM <wolfgang.mueckenheim@tha.de> - 2024-10-20 09:54 +0200
Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) Richard Damon <richard@damon-family.org> - 2024-10-20 07:55 -0400
Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) WM <wolfgang.mueckenheim@tha.de> - 2024-10-20 21:15 +0200
Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) Richard Damon <richard@damon-family.org> - 2024-10-20 15:31 -0400
Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) WM <wolfgang.mueckenheim@tha.de> - 2024-10-20 21:44 +0200
Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) Richard Damon <richard@damon-family.org> - 2024-10-20 17:54 -0400
Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) Jim Burns <james.g.burns@att.net> - 2024-10-16 11:34 -0400
Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) WM <wolfgang.mueckenheim@tha.de> - 2024-10-16 18:55 +0200
Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) joes <noreply@example.org> - 2024-10-16 17:26 +0000
Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) Jim Burns <james.g.burns@att.net> - 2024-10-16 18:39 -0400
Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) WM <wolfgang.mueckenheim@tha.de> - 2024-10-17 20:22 +0200
Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) Alan Mackenzie <acm@muc.de> - 2024-10-17 18:39 +0000
Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) Moebius <invalid@example.invalid> - 2024-10-17 20:44 +0200
Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) WM <wolfgang.mueckenheim@tha.de> - 2024-10-17 20:52 +0200
Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) Alan Mackenzie <acm@muc.de> - 2024-10-17 21:22 +0000
Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) Moebius <invalid@example.invalid> - 2024-10-17 23:30 +0200
Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) WM <wolfgang.mueckenheim@tha.de> - 2024-10-19 10:10 +0200
Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2024-10-19 01:20 -0700
Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) Moebius <invalid@example.invalid> - 2024-10-19 14:19 +0200
Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) Alan Mackenzie <acm@muc.de> - 2024-10-19 12:20 +0000
Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) WM <wolfgang.mueckenheim@tha.de> - 2024-10-19 15:38 +0200
Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) Alan Mackenzie <acm@muc.de> - 2024-10-19 14:24 +0000
Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) WM <wolfgang.mueckenheim@tha.de> - 2024-10-19 19:06 +0200
Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) Alan Mackenzie <acm@muc.de> - 2024-10-19 17:32 +0000
Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) WM <wolfgang.mueckenheim@tha.de> - 2024-10-19 19:57 +0200
Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) Alan Mackenzie <acm@muc.de> - 2024-10-19 18:22 +0000
Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) WM <wolfgang.mueckenheim@tha.de> - 2024-10-19 21:02 +0200
Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) Alan Mackenzie <acm@muc.de> - 2024-10-19 20:19 +0000
Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) WM <wolfgang.mueckenheim@tha.de> - 2024-10-20 09:30 +0200
Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) Alan Mackenzie <acm@muc.de> - 2024-10-20 09:39 +0000
Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) WM <wolfgang.mueckenheim@tha.de> - 2024-10-20 11:59 +0200
Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) Alan Mackenzie <acm@muc.de> - 2024-10-20 12:56 +0000
Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) WM <wolfgang.mueckenheim@tha.de> - 2024-10-20 16:27 +0200
Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) FromTheRafters <FTR@nomail.afraid.org> - 2024-10-20 10:31 -0400
Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) Richard Damon <richard@damon-family.org> - 2024-10-20 15:30 -0400
Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) WM <wolfgang.mueckenheim@tha.de> - 2024-10-20 16:28 +0200
Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) Richard Damon <richard@damon-family.org> - 2024-10-20 15:30 -0400
Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) WM <wolfgang.mueckenheim@tha.de> - 2024-10-20 21:39 +0200
Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2024-10-20 12:57 -0700
Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2024-10-20 12:57 -0700
Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) Moebius <invalid@example.invalid> - 2024-10-21 01:37 +0200
Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2024-10-20 19:08 -0700
Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) Moebius <invalid@example.invalid> - 2024-10-21 22:18 +0200
Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) Richard Damon <richard@damon-family.org> - 2024-10-20 17:54 -0400
Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) FromTheRafters <FTR@nomail.afraid.org> - 2024-10-19 17:57 -0400
Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) Ross Finlayson <ross.a.finlayson@gmail.com> - 2024-10-19 15:16 -0700
Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) Ross Finlayson <ross.a.finlayson@gmail.com> - 2024-10-19 15:30 -0700
Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) Ross Finlayson <ross.a.finlayson@gmail.com> - 2024-10-19 18:19 -0700
Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) Moebius <invalid@example.invalid> - 2024-10-19 22:48 +0200
Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) Richard Damon <richard@damon-family.org> - 2024-10-19 22:48 -0400
Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2024-10-20 12:00 -0700
Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) FromTheRafters <FTR@nomail.afraid.org> - 2024-10-19 14:04 -0400
Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) WM <wolfgang.mueckenheim@tha.de> - 2024-10-19 20:22 +0200
Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) joes <noreply@example.org> - 2024-10-19 15:21 +0000
Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) WM <wolfgang.mueckenheim@tha.de> - 2024-10-19 20:04 +0200
Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) joes <noreply@example.org> - 2024-10-20 23:02 +0000
Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) FromTheRafters <FTR@nomail.afraid.org> - 2024-10-17 15:41 -0400
Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) Jim Burns <james.g.burns@att.net> - 2024-10-17 18:34 -0400
Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) WM <wolfgang.mueckenheim@tha.de> - 2024-10-19 10:16 +0200
Re: Even numbers joes <noreply@example.org> - 2024-10-19 11:31 +0000
Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) Jim Burns <james.g.burns@att.net> - 2024-10-19 12:04 -0400
Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) Ross Finlayson <ross.a.finlayson@gmail.com> - 2024-10-19 11:04 -0700
Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) Ross Finlayson <ross.a.finlayson@gmail.com> - 2024-10-19 12:40 -0700
Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) Ross Finlayson <ross.a.finlayson@gmail.com> - 2024-10-19 13:43 -0700
Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) WM <wolfgang.mueckenheim@tha.de> - 2024-10-19 20:19 +0200
Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) Jim Burns <james.g.burns@att.net> - 2024-10-19 18:54 -0400
Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) Ross Finlayson <ross.a.finlayson@gmail.com> - 2024-10-19 18:56 -0700
Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) Jim Burns <james.g.burns@att.net> - 2024-10-20 09:36 -0400
Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) Ross Finlayson <ross.a.finlayson@gmail.com> - 2024-10-20 09:30 -0700
Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) Jim Burns <james.g.burns@att.net> - 2024-10-20 14:33 -0400
Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) Ross Finlayson <ross.a.finlayson@gmail.com> - 2024-10-20 17:20 -0700
Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) Jim Burns <james.g.burns@att.net> - 2024-10-21 12:21 -0400
Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) Ross Finlayson <ross.a.finlayson@gmail.com> - 2024-10-21 11:09 -0700
Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) Ross Finlayson <ross.a.finlayson@gmail.com> - 2024-10-22 17:49 -0700
Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) Jim Burns <james.g.burns@att.net> - 2024-10-23 11:05 -0400
Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) Ross Finlayson <ross.a.finlayson@gmail.com> - 2024-10-23 10:38 -0700
Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) Jim Burns <james.g.burns@att.net> - 2024-10-25 15:44 -0400
Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) Ross Finlayson <ross.a.finlayson@gmail.com> - 2024-10-26 09:22 -0700
Re: How many different unit f [actions are lessorequal than all unit fractions? (infinitary) Jim Burns <james.g.burns@att.net> - 2024-10-28 16:15 -0400
Re: How many different unit f [actions are lessorequal than all unit fractions? (infinitary) Ross Finlayson <ross.a.finlayson@gmail.com> - 2024-10-28 14:45 -0700
Re: How many different unit f [actions are lessorequal than all unit fractions? (infinitary) Jim Burns <james.g.burns@att.net> - 2024-10-29 10:38 -0400
Re: How many different unit f [actions are lessorequal than all unit fractions? (infinitary) Ross Finlayson <ross.a.finlayson@gmail.com> - 2024-10-29 22:27 -0700
Re: How many different unit f [actions are lessorequal than all unit fractions? (infinitary) Jim Burns <james.g.burns@att.net> - 2024-10-30 12:18 -0400
Re: How many different unit f [actions are lessorequal than all unit fractions? (infinitary) Ross Finlayson <ross.a.finlayson@gmail.com> - 2024-10-30 11:34 -0700
Re: How many different unit f [actions are lessorequal than all unit fractions? (infinitary) Jim Burns <james.g.burns@att.net> - 2024-10-30 14:55 -0400
Re: How many different unit f [actions are lessorequal than all unit fractions? (infinitary) Ross Finlayson <ross.a.finlayson@gmail.com> - 2024-10-30 13:00 -0700
Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) WM <wolfgang.mueckenheim@tha.de> - 2024-10-20 09:48 +0200
Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) Alan Mackenzie <acm@muc.de> - 2024-10-20 09:21 +0000
Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) WM <wolfgang.mueckenheim@tha.de> - 2024-10-20 11:49 +0200
Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) Alan Mackenzie <acm@muc.de> - 2024-10-20 12:20 +0000
Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) Richard Damon <richard@damon-family.org> - 2024-10-20 07:56 -0400
Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) WM <wolfgang.mueckenheim@tha.de> - 2024-10-20 16:26 +0200
Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) FromTheRafters <FTR@nomail.afraid.org> - 2024-10-20 10:34 -0400
Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2024-10-20 11:54 -0700
Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) Richard Damon <richard@damon-family.org> - 2024-10-20 15:31 -0400
Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) WM <wolfgang.mueckenheim@tha.de> - 2024-10-20 21:50 +0200
Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2024-10-20 12:53 -0700
Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) Richard Damon <richard@damon-family.org> - 2024-10-20 17:54 -0400
Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) WM <wolfgang.mueckenheim@tha.de> - 2024-10-21 10:09 +0200
Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2024-10-21 01:55 -0700
Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) FromTheRafters <FTR@nomail.afraid.org> - 2024-10-21 05:21 -0400
Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) WM <wolfgang.mueckenheim@tha.de> - 2024-10-21 12:01 +0200
Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) FromTheRafters <FTR@nomail.afraid.org> - 2024-10-21 07:10 -0400
Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) Jim Burns <james.g.burns@att.net> - 2024-10-21 08:30 -0400
Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) WM <wolfgang.mueckenheim@tha.de> - 2024-10-21 20:25 +0200
Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) Jim Burns <james.g.burns@att.net> - 2024-10-21 16:34 -0400
Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2024-10-21 14:16 -0700
Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) WM <wolfgang.mueckenheim@tha.de> - 2024-10-22 10:13 +0200
Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) Jim Burns <james.g.burns@att.net> - 2024-10-22 10:37 -0400
Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) Jim Burns <james.g.burns@att.net> - 2024-10-22 12:03 -0400
Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) WM <wolfgang.mueckenheim@tha.de> - 2024-10-22 18:12 +0200
Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) Jim Burns <james.g.burns@att.net> - 2024-10-22 13:38 -0400
Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) WM <wolfgang.mueckenheim@tha.de> - 2024-10-22 20:34 +0200
Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) Jim Burns <james.g.burns@att.net> - 2024-10-23 14:39 -0400
Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) WM <wolfgang.mueckenheim@tha.de> - 2024-10-24 12:58 +0200
Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) Jim Burns <james.g.burns@att.net> - 2024-10-24 13:34 -0400
Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) Ross Finlayson <ross.a.finlayson@gmail.com> - 2024-10-24 10:58 -0700
Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) Ross Finlayson <ross.a.finlayson@gmail.com> - 2024-10-25 10:49 -0700
Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) WM <wolfgang.mueckenheim@tha.de> - 2024-10-24 20:58 +0200
Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2024-10-24 12:46 -0700
Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) Moebius <invalid@example.invalid> - 2024-10-24 21:51 +0200
Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) Jim Burns <james.g.burns@att.net> - 2024-10-25 00:33 -0400
Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) WM <invalid@no.org> - 2024-10-25 13:42 +0200
Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) Jim Burns <james.g.burns@att.net> - 2024-10-25 10:53 -0400
Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) WM <wolfgang.mueckenheim@tha.de> - 2024-10-25 18:57 +0200
Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2024-10-25 11:50 -0700
Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) Jim Burns <james.g.burns@att.net> - 2024-10-25 15:05 -0400
Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) WM <wolfgang.mueckenheim@tha.de> - 2024-10-25 21:15 +0200
Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) Jim Burns <james.g.burns@att.net> - 2024-10-25 23:21 -0400
Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) WM <wolfgang.mueckenheim@tha.de> - 2024-10-26 18:04 +0200
Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2024-10-26 12:35 -0700
Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) WM <invalid@no.org> - 2024-10-27 08:38 +0100
Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) Richard Damon <richard@damon-family.org> - 2024-10-27 07:38 -0400
Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) FromTheRafters <FTR@nomail.afraid.org> - 2024-10-27 09:39 -0400
Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) WM <invalid@no.org> - 2024-10-27 17:15 +0100
Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) Moebius <invalid@example.invalid> - 2024-10-27 18:09 +0100
Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) FromTheRafters <FTR@nomail.afraid.org> - 2024-10-27 15:01 -0400
Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) WM <wolfgang.mueckenheim@tha.de> - 2024-10-28 10:49 +0100
Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) Richard Damon <richard@damon-family.org> - 2024-10-28 07:17 -0400
Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) WM <wolfgang.mueckenheim@tha.de> - 2024-10-28 20:42 +0100
Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2024-10-28 14:06 -0700
Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) Moebius <invalid@example.invalid> - 2024-10-28 23:28 +0100
Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) Richard Damon <richard@damon-family.org> - 2024-10-28 19:58 -0400
Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) WM <wolfgang.mueckenheim@tha.de> - 2024-10-29 09:36 +0100
Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) Richard Damon <richard@damon-family.org> - 2024-10-29 07:09 -0400
Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) joes <noreply@example.org> - 2024-10-29 11:55 +0000
Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2024-10-29 15:16 -0700
Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) FromTheRafters <FTR@nomail.afraid.org> - 2024-10-28 10:07 -0400
Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) WM <wolfgang.mueckenheim@tha.de> - 2024-10-28 21:05 +0100
Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) FromTheRafters <FTR@nomail.afraid.org> - 2024-10-28 16:51 -0400
Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) WM <wolfgang.mueckenheim@tha.de> - 2024-10-29 09:26 +0100
Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) FromTheRafters <FTR@nomail.afraid.org> - 2024-10-29 06:02 -0400
Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) WM <wolfgang.mueckenheim@tha.de> - 2024-10-30 12:53 +0100
Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) FromTheRafters <FTR@nomail.afraid.org> - 2024-10-30 08:57 -0400
Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) WM <wolfgang.mueckenheim@tha.de> - 2024-10-30 15:04 +0100
Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) FromTheRafters <FTR@nomail.afraid.org> - 2024-10-30 11:43 -0400
Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) WM <wolfgang.mueckenheim@tha.de> - 2024-10-30 20:48 +0100
Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2024-10-30 13:04 -0700
Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2024-10-30 13:05 -0700
Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) Moebius <invalid@example.invalid> - 2024-10-30 21:17 +0100
Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) Moebius <invalid@example.invalid> - 2024-10-30 21:19 +0100
Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2024-10-30 13:33 -0700
Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2024-10-30 13:34 -0700
Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) Moebius <invalid@example.invalid> - 2024-10-30 22:14 +0100
Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) Moebius <invalid@example.invalid> - 2024-10-30 22:53 +0100
Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) WM <wolfgang.mueckenheim@tha.de> - 2024-10-31 09:27 +0100
Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) FromTheRafters <FTR@nomail.afraid.org> - 2024-10-30 16:24 -0400
Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) WM <wolfgang.mueckenheim@tha.de> - 2024-10-31 09:24 +0100
Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) FromTheRafters <FTR@nomail.afraid.org> - 2024-10-31 04:29 -0400
Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) WM <wolfgang.mueckenheim@tha.de> - 2024-10-31 09:41 +0100
Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) FromTheRafters <FTR@nomail.afraid.org> - 2024-10-31 05:04 -0400
Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) WM <wolfgang.mueckenheim@tha.de> - 2024-10-31 10:31 +0100
Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) FromTheRafters <FTR@nomail.afraid.org> - 2024-10-31 07:00 -0400
Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) WM <wolfgang.mueckenheim@tha.de> - 2024-10-31 16:38 +0100
Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) FromTheRafters <FTR@nomail.afraid.org> - 2024-10-31 12:02 -0400
Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) WM <wolfgang.mueckenheim@tha.de> - 2024-10-31 18:24 +0100
Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) Richard Damon <richard@damon-family.org> - 2024-10-31 19:43 -0400
Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2024-10-31 12:27 -0700
Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) FromTheRafters <FTR@nomail.afraid.org> - 2024-10-31 15:49 -0400
Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2024-10-31 13:08 -0700
Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) Richard Damon <richard@damon-family.org> - 2024-10-31 19:43 -0400
Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) Richard Damon <richard@damon-family.org> - 2024-10-31 07:36 -0400
Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) WM <wolfgang.mueckenheim@tha.de> - 2024-10-31 18:33 +0100
Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) Richard Damon <richard@damon-family.org> - 2024-10-31 19:43 -0400
Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) Richard Damon <richard@damon-family.org> - 2024-10-31 07:36 -0400
Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2024-10-31 12:24 -0700
Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) Richard Damon <richard@damon-family.org> - 2024-10-31 07:36 -0400
Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2024-10-31 12:32 -0700
Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) Richard Damon <richard@damon-family.org> - 2024-10-31 19:43 -0400
Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2024-10-30 13:00 -0700
Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) Richard Damon <richard@damon-family.org> - 2024-10-31 07:36 -0400
Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) WM <wolfgang.mueckenheim@tha.de> - 2024-10-31 18:28 +0100
Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) joes <noreply@example.org> - 2024-10-31 20:46 +0000
Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) Moebius <invalid@example.invalid> - 2024-10-31 22:36 +0100
Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) WM <wolfgang.mueckenheim@tha.de> - 2024-11-01 11:07 +0100
Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) Richard Damon <richard@damon-family.org> - 2024-11-01 20:55 -0400
Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) WM <wolfgang.mueckenheim@tha.de> - 2024-11-02 11:23 +0100
Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) Richard Damon <richard@damon-family.org> - 2024-11-02 12:02 -0400
Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) WM <wolfgang.mueckenheim@tha.de> - 2024-11-02 18:56 +0100
Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) Richard Damon <richard@damon-family.org> - 2024-11-02 16:30 -0400
Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) WM <wolfgang.mueckenheim@tha.de> - 2024-11-02 22:37 +0100
Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) Richard Damon <richard@damon-family.org> - 2024-11-02 20:17 -0400
Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2024-11-02 20:38 -0700
Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) WM <wolfgang.mueckenheim@tha.de> - 2024-11-03 12:42 +0100
Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) Richard Damon <richard@damon-family.org> - 2024-11-03 07:13 -0500
Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) WM <wolfgang.mueckenheim@tha.de> - 2024-11-03 15:09 +0100
Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) Richard Damon <richard@damon-family.org> - 2024-11-03 16:21 -0500
Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) WM <wolfgang.mueckenheim@tha.de> - 2024-11-04 12:04 +0100
Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) Richard Damon <richard@damon-family.org> - 2024-11-04 07:12 -0500
Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) WM <wolfgang.mueckenheim@tha.de> - 2024-11-04 18:10 +0100
Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) Richard Damon <richard@damon-family.org> - 2024-11-04 22:08 -0500
Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) joes <noreply@example.org> - 2024-11-03 14:53 +0000
Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) WM <wolfgang.mueckenheim@tha.de> - 2024-11-03 17:55 +0100
Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) joes <noreply@example.org> - 2024-11-02 12:30 +0000
Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) Moebius <invalid@example.invalid> - 2024-11-02 13:36 +0100
Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) Moebius <invalid@example.invalid> - 2024-11-02 13:42 +0100
Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) Moebius <invalid@example.invalid> - 2024-11-02 14:03 +0100
Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) WM <wolfgang.mueckenheim@tha.de> - 2024-11-02 18:40 +0100
Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) WM <wolfgang.mueckenheim@tha.de> - 2024-11-02 18:36 +0100
Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) Richard Damon <richard@damon-family.org> - 2024-10-31 19:43 -0400
Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) Richard Damon <richard@damon-family.org> - 2024-10-28 20:21 -0400
Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) WM <invalid@no.org> - 2024-10-27 17:20 +0100
Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) Richard Damon <richard@damon-family.org> - 2024-10-27 14:00 -0400
Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) WM <wolfgang.mueckenheim@tha.de> - 2024-10-28 11:42 +0100
Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) Richard Damon <richard@damon-family.org> - 2024-10-28 07:17 -0400
Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) joes <noreply@example.org> - 2024-10-28 12:35 +0000
Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) joes <noreply@example.org> - 2024-10-28 16:33 +0000
Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) WM <wolfgang.mueckenheim@tha.de> - 2024-10-28 21:07 +0100
Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2024-10-27 12:54 -0700
Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) Moebius <invalid@example.invalid> - 2024-10-27 14:54 +0100
Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) WM <invalid@no.org> - 2024-10-27 17:12 +0100
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| From | Richard Damon <richard@damon-family.org> |
|---|---|
| Date | 2024-09-09 07:32 -0400 |
| Message-ID | <918c948309b4a74d0bc505a1c2f40a7868072f41@i2pn2.org> |
| In reply to | #631169 |
On 9/9/24 6:27 AM, WM wrote: > On 08.09.2024 22:11, Richard Damon wrote: >> On 9/8/24 3:48 PM, WM wrote: > >>> Select any gap between one of the first ℵo unit fractions and its >>> neighbour. Call its size x. Then ℵo unit fractions cannot fit into >>> the interval (0, x), independent of the actual size. >>> >> But that is changing the value of x in the middle of the problem which >> isn't allowed. > > No. >> >> Given that new x, we can choose a new set of Aleph_0 unit fractions >> below that x. > > ℵo unit fractions are claimed to be smaller than every x > 0. If that is > true then I can choose as the x one of the ℵo intervals between two of > them. > > Regards, WM > > No, because the claim is GIVEN an x, we can do "Y", that is make the Aleph_0 unit fractions below it. Until you have chosen your x, we don't need to provide those unit fractions, so, you can't use them to create your x. It seems your ignorance extends to ordering. To follow YOUR idea, then *YOU* get stuck in the infinite loop of every time you change your x, the unit fractions change so you need to change to another x, and the unit fractions change again. Its sort of like the problem with the request for the biggest number you can think of, because as soon as you think of it, you can imagine something bigger, but that doesn't show that there actually is a biggest number that actually exists, because our thinking of them doesn't make them come into existance, it was the original definition of them.
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| From | WM <wolfgang.mueckenheim@tha.de> |
|---|---|
| Date | 2024-09-09 16:53 +0200 |
| Message-ID | <vbn25d$2em18$1@dont-email.me> |
| In reply to | #631174 |
On 09.09.2024 13:32, Richard Damon wrote: > No, because the claim is GIVEN an x, we can do "Y", that is make the > Aleph_0 unit fractions below it. You are in error. MY CLAIM is: Given ℵo unit fractions smaller than every x > 0, then I choose any of their gaps. > Until you have chosen your x, we don't > need to provide those unit fractions, so, you can't use them to create > your x. You claim that ℵo unit fractions are smaller than ANY x > 0. That is simply fool's crap. > To follow YOUR idea, then *YOU* get stuck in the infinite loop of every > time you change your x, the unit fractions change so you need to change > to another x, and the unit fractions change again. I do not change anything. There are unit fractions as real points on the real line. These real points are really real and therefore must start somewhere. Hence there is a beginning, one ore more first points. Regards, WM
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| From | joes <noreply@example.org> |
|---|---|
| Date | 2024-09-09 15:15 +0000 |
| Message-ID | <4f9cb578fe0b0891c115fd21cbc25642f706b63a@i2pn2.org> |
| In reply to | #631182 |
Am Mon, 09 Sep 2024 16:53:32 +0200 schrieb WM: > On 09.09.2024 13:32, Richard Damon wrote: > >> No, because the claim is GIVEN an x, we can do "Y", that is make the >> Aleph_0 unit fractions below it. > You are in error. MY CLAIM is: Given ℵo unit fractions smaller than > every x > 0, then I choose any of their gaps. Given an x>0 there are infinitely many unit fractions below. What about the gaps? >> Until you have chosen your x, we don't need to provide those unit >> fractions, so, you can't use them to create your x. > You claim that ℵo unit fractions are smaller than ANY x > 0. Yes. Not all the same ones of course. -- Am Sat, 20 Jul 2024 12:35:31 +0000 schrieb WM in sci.math: It is not guaranteed that n+1 exists for every n.
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| From | WM <wolfgang.mueckenheim@tha.de> |
|---|---|
| Date | 2024-09-09 17:32 +0200 |
| Message-ID | <83d741b4-a0bc-42f3-a286-9d26d164ff66@tha.de> |
| In reply to | #631188 |
On 09.09.2024 17:15, joes wrote: > Am Mon, 09 Sep 2024 16:53:32 +0200 schrieb WM: >> You claim that ℵo unit fractions are smaller than ANY x > 0. > Yes. Not all the same ones of course. My question concerns same unit fractions only. Do ℵo unit fractions exist smaller than any x > 0? If not, how many same unit fractions exist smaller than any x > 0? How many are smalleror equal than all unit fractions? Regards, WM
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| From | joes <noreply@example.org> |
|---|---|
| Date | 2024-09-09 15:49 +0000 |
| Message-ID | <c98febf86c866fab791406bc6769aef26a7bd29d@i2pn2.org> |
| In reply to | #631194 |
Am Mon, 09 Sep 2024 17:32:11 +0200 schrieb WM: > On 09.09.2024 17:15, joes wrote: >> Am Mon, 09 Sep 2024 16:53:32 +0200 schrieb WM: > >>> You claim that ℵo unit fractions are smaller than ANY x > 0. >> Yes. Not all the same ones of course. > My question concerns same unit fractions only. Do ℵo unit fractions > exist smaller than any x > 0? If not, how many same unit fractions exist > smaller than any x > 0? How many are smalleror equal than all unit > fractions? That is a different question (quantifier order). Of course no unit fraction is smaller than every other unit fraction. (I don’t understand the „same” question.) -- Am Sat, 20 Jul 2024 12:35:31 +0000 schrieb WM in sci.math: It is not guaranteed that n+1 exists for every n.
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| From | WM <wolfgang.mueckenheim@tha.de> |
|---|---|
| Date | 2024-09-09 21:03 +0200 |
| Message-ID | <vbngps$2gn74$2@dont-email.me> |
| In reply to | #631195 |
On 09.09.2024 17:49, joes wrote: > Am Mon, 09 Sep 2024 17:32:11 +0200 schrieb WM: >> On 09.09.2024 17:15, joes wrote: >>> Am Mon, 09 Sep 2024 16:53:32 +0200 schrieb WM: >> >>>> You claim that ℵo unit fractions are smaller than ANY x > 0. >>> Yes. Not all the same ones of course. >> My question concerns same unit fractions only. Do ℵo unit fractions >> exist smaller than any x > 0? If not, how many same unit fractions exist >> smaller than any x > 0? How many are smalleror equal than all unit >> fractions? > That is a different question No, that is THE question. > Of course no unit > fraction is smaller than every other unit fraction. This is the first question: Do ℵo unit fractions exist smaller than any x > 0, as Fritsche claims? The second question concerns a weaker claim: Do ℵo unit fractions exist smaller than any 1/n > 0? If you deny it you cannot approve to the first question. Regards, WM
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| From | joes <noreply@example.org> |
|---|---|
| Date | 2024-09-09 19:55 +0000 |
| Subject | Re: quantifier order |
| Message-ID | <2e31239990bdcbe4ce41a3b9a2e17859d4c3e438@i2pn2.org> |
| In reply to | #631205 |
Am Mon, 09 Sep 2024 21:03:24 +0200 schrieb WM: > On 09.09.2024 17:49, joes wrote: >> Am Mon, 09 Sep 2024 17:32:11 +0200 schrieb WM: >>> On 09.09.2024 17:15, joes wrote: >>>> Am Mon, 09 Sep 2024 16:53:32 +0200 schrieb WM: >>> >>>>> You claim that ℵo unit fractions are smaller than ANY x > 0. >>>> Yes. Not all the same ones of course. >>> My question concerns same unit fractions only. Do ℵo unit fractions >>> exist smaller than any x > 0? If not, how many same unit fractions >>> exist smaller than any x > 0? How many are smalleror equal than all >>> unit fractions? >> That is a different question > No, that is THE question. The set of unit fractions smaller than all x is empty. However, the set of UFs smaller than one arbitrary x is infinite. >> Of course no unit fraction is smaller than every other unit fraction. -- Am Sat, 20 Jul 2024 12:35:31 +0000 schrieb WM in sci.math: It is not guaranteed that n+1 exists for every n.
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| From | WM <wolfgang.mueckenheim@tha.de> |
|---|---|
| Date | 2024-09-10 18:24 +0200 |
| Subject | Re: quantifier order |
| Message-ID | <vbprro$31fu6$5@dont-email.me> |
| In reply to | #631213 |
On 09.09.2024 21:55, joes wrote: > Am Mon, 09 Sep 2024 21:03:24 +0200 schrieb WM: >> On 09.09.2024 17:49, joes wrote: >> No, that is THE question. > The set of unit fractions smaller than all x is empty. Why is this so? Because all unit fractions are undercut by some x. The x undercutting the last unit fractions (you said that none remains because the set is empty, therefore all must be gone) do not satisfy your following claim: > However, the set of UFs smaller than one arbitrary x is infinite. Regards, WM
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| From | Richard Damon <richard@damon-family.org> |
|---|---|
| Date | 2024-09-10 21:37 -0400 |
| Subject | Re: quantifier order |
| Message-ID | <1bd20863ba471f9e3fc9f97f225b115ac194302b@i2pn2.org> |
| In reply to | #631245 |
On 9/10/24 12:24 PM, WM wrote: > On 09.09.2024 21:55, joes wrote: >> Am Mon, 09 Sep 2024 21:03:24 +0200 schrieb WM: >>> On 09.09.2024 17:49, joes wrote: > >>> No, that is THE question. >> The set of unit fractions smaller than all x is empty. > > Why is this so? Because all unit fractions are undercut by some x. The x > undercutting the last unit fractions (you said that none remains because > the set is empty, therefore all must be gone) do not satisfy your > following claim: > >> However, the set of UFs smaller than one arbitrary x is infinite. > Regards, WM > Right, because any unit fraction you might want to try to nominate as the smallest always has at least one (actually Aleph_0) unit fractions smaller then it, and thus NO unit fractions are less than or equal to all unit fractions. You just don't understand that mathematic of the infinite set, which follow rules DIFFERENT from your normal rules for finite sets.
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| From | Richard Damon <richard@damon-family.org> |
|---|---|
| Date | 2024-09-10 07:41 -0400 |
| Message-ID | <fa4ba1d8ffd0f3a3b3774979248fb5c0d3b4f0d8@i2pn2.org> |
| In reply to | #631194 |
On 9/9/24 11:32 AM, WM wrote: > On 09.09.2024 17:15, joes wrote: >> Am Mon, 09 Sep 2024 16:53:32 +0200 schrieb WM: > >>> You claim that ℵo unit fractions are smaller than ANY x > 0. >> Yes. Not all the same ones of course. > > My question concerns same unit fractions only. Do ℵo unit fractions > exist smaller than any x > 0? If not, how many same unit fractions exist > smaller than any x > 0? How many are smalleror equal than all unit > fractions? > > Regards, WM > > Whst do you mean by "same" unit fractions. for every different x, there might be a different set of unit fractions below them. Those sets will have Aleph_0 unit fractions in common, but each are different set with possible a finite number of members different. There is a very significant difference between asking about ANY and asking about ALL, especially with infinite sets. There are Aleph_0 unit fractions below ANY x, as we can form that infinite set of them There are 0 unit fractions below ALL x, as there can not be an x that is smaller than ALL x, and there is no smallest to be equal or less than. It may seem strange to someone thinking in terms of finite things, but that is the world of infinite unbounded sets.
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| From | Richard Damon <richard@damon-family.org> |
|---|---|
| Date | 2024-09-10 07:41 -0400 |
| Message-ID | <59d75459aea98619cca1a3fe1e9512371cc52705@i2pn2.org> |
| In reply to | #631182 |
On 9/9/24 10:53 AM, WM wrote: > On 09.09.2024 13:32, Richard Damon wrote: > >> No, because the claim is GIVEN an x, we can do "Y", that is make the >> Aleph_0 unit fractions below it. > > You are in error. MY CLAIM is: Given ℵo unit fractions smaller than > every x > 0, then I choose any of their gaps. Which mean what? Given a number, I can pick one? What does that claim to show? > >> Until you have chosen your x, we don't need to provide those unit >> fractions, so, you can't use them to create your x. > > You claim that ℵo unit fractions are smaller than ANY x > 0. That is > simply fool's crap. Why, name the x, and I can name the series of Aleph_0 unit fractions smaller than it. I can even write a formula so anyone can do it. > >> To follow YOUR idea, then *YOU* get stuck in the infinite loop of >> every time you change your x, the unit fractions change so you need to >> change to another x, and the unit fractions change again. > > I do not change anything. There are unit fractions as real points on the > real line. These real points are really real and therefore must start > somewhere. Hence there is a beginning, one ore more first points. Why do they need a beginning (at that end)? Yes, then have ONE beginning, at 1/1, so we can count them, but at the other end they do not. There is a boundry, and that is 0, but that isn't the "first" of them, as it is outside the set. You just don't understand the concept of actually INFINITY. If there WAS a smallest unit fraction, then there couldn't be an infinite number of them, as we could count them down from there. > > Regards, WM > >
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| From | WM <wolfgang.mueckenheim@tha.de> |
|---|---|
| Date | 2024-09-10 21:03 +0200 |
| Message-ID | <vbq561$31fu6$11@dont-email.me> |
| In reply to | #631236 |
On 10.09.2024 13:41, Richard Damon wrote: > Why do they need a beginning (at that end)? Because there is none in the negative and some in the prositive. At that end. > There is a boundry, and that is 0, but that isn't the "first" of them, > as it is outside the set. Either the set starts with one unit fraction or with a cloud of unit fractions. Regards, WM
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| From | Richard Damon <richard@damon-family.org> |
|---|---|
| Date | 2024-09-10 21:37 -0400 |
| Message-ID | <d1a61828aaf03ed6b970761a51eb9bfe72c98b1f@i2pn2.org> |
| In reply to | #631252 |
On 9/10/24 3:03 PM, WM wrote: > On 10.09.2024 13:41, Richard Damon wrote: > >> Why do they need a beginning (at that end)? > > Because there is none in the negative and some in the prositive. At that > end. > The is none at the very begining of the negative end, because that "end" isn't in the set. The "bottom" of the set of unit fractions is 0. >> There is a boundry, and that is 0, but that isn't the "first" of them, >> as it is outside the set. > > Either the set starts with one unit fraction or with a cloud of unit > fractions. If you want to think of it as a cloud, go ahead. Just remember, it is a VERY DENSE cloud, whose density approaches infinity as it get near 0. (and for the real and rational, its density is infinity everywhere). Every one is at a different value, but the get closer and closer to each other as you try to zoom into that "end point". > > Regards, WM > >
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| From | joes <noreply@example.org> |
|---|---|
| Date | 2024-09-09 11:49 +0000 |
| Message-ID | <20d29fc87d2bab70a7a7c18a3f79b093a4c2b647@i2pn2.org> |
| In reply to | #631169 |
Am Mon, 09 Sep 2024 12:27:47 +0200 schrieb WM: > On 08.09.2024 22:11, Richard Damon wrote: >> On 9/8/24 3:48 PM, WM wrote: > >>> Select any gap between one of the first ℵo unit fractions and its >>> neighbour. Call its size x. Then ℵo unit fractions cannot fit into the >>> interval (0, x), independent of the actual size. >> But that is changing the value of x in the middle of the problem which >> isn't allowed. >> Given that new x, we can choose a new set of Aleph_0 unit fractions >> below that x. > ℵo unit fractions are claimed to be smaller than every x > 0. If that is > true then I can choose as the x one of the ℵo intervals between two of > them. More precisely: every positive x has infinitely many smaller unit fractions (mind the quantifier order). A number is not an interval. -- Am Sat, 20 Jul 2024 12:35:31 +0000 schrieb WM in sci.math: It is not guaranteed that n+1 exists for every n.
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| From | WM <wolfgang.mueckenheim@tha.de> |
|---|---|
| Date | 2024-09-09 17:08 +0200 |
| Message-ID | <vbn322$2em19$1@dont-email.me> |
| In reply to | #631178 |
On 09.09.2024 13:49, joes wrote: > Am Mon, 09 Sep 2024 12:27:47 +0200 schrieb WM: >> On 08.09.2024 22:11, Richard Damon wrote: >>> On 9/8/24 3:48 PM, WM wrote: >> >>>> Select any gap between one of the first ℵo unit fractions and its >>>> neighbour. Call its size x. Then ℵo unit fractions cannot fit into the >>>> interval (0, x), independent of the actual size. >>> But that is changing the value of x in the middle of the problem which >>> isn't allowed. >>> Given that new x, we can choose a new set of Aleph_0 unit fractions >>> below that x. >> ℵo unit fractions are claimed to be smaller than every x > 0. If that is >> true then I can choose as the x one of the ℵo intervals between two of >> them. > More precisely: every positive x has infinitely many smaller unit > fractions (mind the quantifier order). The quantifier order related to the problem is this: NUF(x) = ℵo means: There exist ℵo unit fractions smaller than any x > 0. If this is not true, then there are fewer. How many unit fractions are smaller than any x > 0. THAT is the question. None. But all are differente. Hence there must be a first one smaller than all other unit fractions. Note that real points are in question. Real points fixed on the real line. > A number is not an interval. An interval has a length that can be expressed by a real number: 1/n - 1/(n+1) = x . Then the interval (0, x) contains not all unit fractions, for instance not 1/n. Regards, WM >
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| From | joes <noreply@example.org> |
|---|---|
| Date | 2024-09-09 16:02 +0000 |
| Message-ID | <0c8b8cc706aae1ac1f735f60ecc76b5df3f9d5a9@i2pn2.org> |
| In reply to | #631185 |
Am Mon, 09 Sep 2024 17:08:49 +0200 schrieb WM: > On 09.09.2024 13:49, joes wrote: >> Am Mon, 09 Sep 2024 12:27:47 +0200 schrieb WM: >>> On 08.09.2024 22:11, Richard Damon wrote: >>>> On 9/8/24 3:48 PM, WM wrote: >>> >>>>> Select any gap between one of the first ℵo unit fractions and its >>>>> neighbour. Call its size x. Then ℵo unit fractions cannot fit into >>>>> the interval (0, x), independent of the actual size. >>>> But that is changing the value of x in the middle of the problem >>>> which isn't allowed. >>>> Given that new x, we can choose a new set of Aleph_0 unit fractions >>>> below that x. >>> ℵo unit fractions are claimed to be smaller than every x > 0. If that >>> is true then I can choose as the x one of the ℵo intervals between two >>> of them. >> More precisely: every positive x has infinitely many smaller unit >> fractions (mind the quantifier order). > The quantifier order related to the problem is this: NUF(x) = ℵo means: > There exist ℵo unit fractions smaller than any x > 0. If this is not > true, then there are fewer. How many unit fractions are smaller than any > x > 0. THAT is the question. None. But all are differente. Hence there > must be a first one smaller than all other unit fractions. The wrong quantifier order is: „There is a fixed infinite set of unit fractions, which are all less than any positive x.” The right one is: Any positive x has AN infinite set of unit fractions less than it. (Those sets are different; the one <0.4 is missing 1/2 compared the set of UFs <0.75 but of course still infinite.) How do you get to the „hence”? >> A number is not an interval. > An interval has a length that can be expressed by a real number: > 1/n - 1/(n+1) = x . > Then the interval (0, x) contains not all unit fractions, for instance > not 1/n. But still infinitely many, since only finitely many are missing. -- Am Sat, 20 Jul 2024 12:35:31 +0000 schrieb WM in sci.math: It is not guaranteed that n+1 exists for every n.
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| From | Moebius <invalid@example.invalid> |
|---|---|
| Date | 2024-09-09 18:32 +0200 |
| Message-ID | <vbn7ui$2fjlq$2@dont-email.me> |
| In reply to | #631198 |
Am 09.09.2024 um 18:02 schrieb joes:
> Am Mon, 09 Sep 2024 17:08:49 +0200 schrieb WM:
>> The quantifier order related to the problem is this: NUF(x) = ℵo means:
>> There exist ℵo unit fractions smaller than any x > 0.
Nein, Du Spinner (WM)!
NUF(x) = ℵo JUST means: There exist (exactly) ℵo unit fractions smaller
than x.
Hint:
Def: NUF(x) := card({u e {1/n : n e IN} : u < x}) (x e IR).
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| From | Moebius <invalid@example.invalid> |
|---|---|
| Date | 2024-09-09 21:25 +0200 |
| Message-ID | <vbni2i$2h5hr$3@dont-email.me> |
| In reply to | #631198 |
Am 09.09.2024 um 18:02 schrieb joes: > Am Mon, 09 Sep 2024 17:08:49 +0200 schrieb WM: >> On 09.09.2024 13:49, joes wrote: >>> Am Mon, 09 Sep 2024 12:27:47 +0200 schrieb WM: >> [Such] an interval has a length that can be expressed by a real number: >> 1/n - 1/(n+1) = x . >> Then the interval (0, x) contains not all unit fractions, for instance >> not 1/n. Ein Moment geistiger Klarheit, Mückenheim? On th eother hand: > But still infinitely many, since only finitely many are missing. Right.
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| From | Richard Damon <richard@damon-family.org> |
|---|---|
| Date | 2024-09-10 21:37 -0400 |
| Message-ID | <9a0fb32f20ef76e6a71e2de2d35113f0efb676b3@i2pn2.org> |
| In reply to | #631185 |
On 9/9/24 11:08 AM, WM wrote: > On 09.09.2024 13:49, joes wrote: >> Am Mon, 09 Sep 2024 12:27:47 +0200 schrieb WM: >>> On 08.09.2024 22:11, Richard Damon wrote: >>>> On 9/8/24 3:48 PM, WM wrote: >>> >>>>> Select any gap between one of the first ℵo unit fractions and its >>>>> neighbour. Call its size x. Then ℵo unit fractions cannot fit into the >>>>> interval (0, x), independent of the actual size. >>>> But that is changing the value of x in the middle of the problem which >>>> isn't allowed. >>>> Given that new x, we can choose a new set of Aleph_0 unit fractions >>>> below that x. >>> ℵo unit fractions are claimed to be smaller than every x > 0. If that is >>> true then I can choose as the x one of the ℵo intervals between two of >>> them. >> More precisely: every positive x has infinitely many smaller unit >> fractions (mind the quantifier order). > > The quantifier order related to the problem is this: NUF(x) = ℵo means: > There exist ℵo unit fractions smaller than any x > 0. If this is not > true, then there are fewer. How many unit fractions are smaller than any > x > 0. THAT is the question. None. But all are differente. Hence there > must be a first one smaller than all other unit fractions. Note that > real points are in question. Real points fixed on the real line. The number of unit fractions smaller than any positive x is Aleph_0. PERIOD. They are all diffferent. That does NOT mean there must be a first, THAT is irrational finite thinking, which doesn't work on unbounded sets, and your using it has exploded your brain into smithereens by its contradictions. > > > A number is not an interval. > > An interval has a length that can be expressed by a real number: > 1/n - 1/(n+1) = x . > > Then the interval (0, x) contains not all unit fractions, for instance > not 1/n. But it contains almost all of them, an Aleph_0 of them while missing only a finite number of them. A set of size Aleph_0 can (repeatedly) loose finite number of elements and maintain its size. This fact seems to be beyond your ability to understand. > > Regards, WM >> >
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| From | joes <noreply@example.org> |
|---|---|
| Date | 2024-09-08 20:25 +0000 |
| Message-ID | <937a4a53c27b209538bb77bfe8059a90cc70ee9e@i2pn2.org> |
| In reply to | #631152 |
Am Sun, 08 Sep 2024 21:48:11 +0200 schrieb WM: > On 07.09.2024 16:49, Richard Damon wrote: > >> All those add up to less than x, so they fit. >> Select any gap between one of the first ℵo unit fractions and its > neighbour. Call its size x. Then ℵo unit fractions cannot fit into the > interval (0, x), independent of the actual size. Why? -- Am Sat, 20 Jul 2024 12:35:31 +0000 schrieb WM in sci.math: It is not guaranteed that n+1 exists for every n.
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