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| From | Jim Burns <james.g.burns@att.net> |
|---|---|
| Newsgroups | sci.math |
| Subject | Re: How many different unit fractions are lessorequal than all unit fractions? |
| Date | 2024-09-04 14:08 -0400 |
| Organization | A noiseless patient Spider |
| Message-ID | <3d1a8334-deee-45c6-ae03-340cd8551908@att.net> (permalink) |
| References | <vb4rde$22fb4$2@solani.org> |
On 9/2/2024 1:07 PM, WM wrote:
> How many different unit fractions are
> lessorequal than all unit fractions?
> The correct answer is: one unit fraction.
> Another answer is that
> no unit fraction is
> lessorequal than all unit fractions.
Yes:
for each ⅟j ∈ ⅟ℕᴰᴱꟳ
there is next.smaller ⅟j′ ∈ ⅟ℕᴰᴱꟳ:
⎛ ⅟j′ = ⅟(j+1) < ⅟j
⎝ ¬∃⅟hₓ ∈ ⅟ℕᴰᴱꟳ: ⅟j′ < ⅟hₓ < ⅟j
Also:
for each non.max.⅟ℕᴰᴱꟳ ⅟j ∈ ⅟ℕᴰᴱꟳ
there is next.larger ⅟j″ ∈ ⅟ℕᴰᴱꟳ:
⎛ ⅟j″ = ⅟(j-1) > ⅟j
⎝ ¬∃⅟hₓ ∈ ⅟ℕᴰᴱꟳ: ⅟j″ > ⅟hₓ > ⅟j
⇐ ∃⅟i ∈ ⅟ℕᴰᴱꟳ: ⅟i > ⅟j
for each non.{} S ⊆ ⅟ℕᴰᴱꟳ
there is max.S ⅟j ∈ S:
S ∋ ⅟j ≥ᵉᵃᶜʰ S
for each bounded.in.⅟ℕᴰᴱꟳ non.{} S ⊆ ⅟ℕᴰᴱꟳ
there is min.S ⅟j ∈ S:
S ∋ ⅟j ≤ᵉᵃᶜʰ S
⇐ ∃⅟k ∈ ⅟ℕᴰᴱꟳ: ⅟k ≤ᵉᵃᶜʰ S
0 ∉ ⅟ℕᴰᴱꟳ
> Another answer is that
> no unit fraction is
> lessorequal than all unit fractions.
> That means the function NUF(x)
> Number of UnitFractions between 0 and x > 0
> with NUF(0) = 0 will never increase but stay at 0.
That means that
the unit.fractions between 0 and x > 0
will never be fewer than ℵ₀.many
well.ordered, stepping.up.and.down.except.max
visibleᵂᴹ unit.fractions.
⎛ In a finite non.{} ordered set,
⎝ each subset is 2.ended.
That means that
the 1.ended unit.fractions between 0 and x > 0
are not finitely.many.
> That means the function NUF(x)
> Number of UnitFractions between 0 and x > 0
> with NUF(0) = 0 will never increase but stay at 0.
> There are no unit fractions existing at all.
x > ⅟⌊1+⅟x⌋ > 0
The unit.fractions are 1.ended.
There is no first unit.fraction.
> Therefore
> there is only the one correct answer given above.
Logicᵂᴹ which leads to the claim that
⎛ half the greatest.lower.bound of visibleᵂᴹ unit.fractions
⎜ is undercut by visibleᵂᴹ unit.fractions and
⎝ is NOT undercut by visibleᵂᴹ unit.fractions
is broken logicᵂᴹ.
Not all sets are finite.
Not all sets have each non.{} subset 2.ended.
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How many different unit fractions are lessorequal than all unit fractions? WM <wolfgang.mueckenheim@tha.de> - 2024-09-02 19:07 +0200
Re: How many different unit fractions are lessorequal than all unit fractions? Richard Damon <richard@damon-family.org> - 2024-09-02 13:19 -0400
Re: How many different unit fractions are lessorequal than all unit fractions? WM <wolfgang.mueckenheim@tha.de> - 2024-09-02 22:37 +0200
Re: How many different unit fractions are lessorequal than all unit fractions? Richard Damon <richard@damon-family.org> - 2024-09-02 17:43 -0400
Re: How many different unit fractions are lessorequal than all unit fractions? WM <wolfgang.mueckenheim@tha.de> - 2024-09-03 12:17 +0200
Re: How many different unit fractions are lessorequal than all unit fractions? Richard Damon <richard@damon-family.org> - 2024-09-03 07:29 -0400
Re: How many different unit fractions are lessorequal than all unit fractions? WM <wolfgang.mueckenheim@tha.de> - 2024-09-03 13:56 +0200
Re: How many different unit fractions are lessorequal than all unit fractions? Richard Damon <richard@damon-family.org> - 2024-09-03 23:05 -0400
Re: How many different unit fractions are lessorequal than all unit fractions? Jim Burns <james.g.burns@att.net> - 2024-09-03 00:25 -0400
Re: How many different unit fractions are lessorequal than all unit fractions? WM <wolfgang.mueckenheim@tha.de> - 2024-09-03 12:22 +0200
Re: How many different unit fractions are lessorequal than all unit fractions? Jim Burns <james.g.burns@att.net> - 2024-09-03 13:50 -0400
Re: How many different unit fractions are lessorequal than all unit fractions? WM <wolfgang.mueckenheim@tha.de> - 2024-09-04 21:10 +0200
Re: How many different unit fractions are lessorequal than all unit fractions? Jim Burns <james.g.burns@att.net> - 2024-09-04 16:52 -0400
Re: How many different unit fractions are lessorequal than all unit fractions? WM <wolfgang.mueckenheim@tha.de> - 2024-09-05 13:53 +0000
Re: How many different unit fractions are lessorequal than all unit fractions? Jim Burns <james.g.burns@att.net> - 2024-09-05 14:56 -0400
Re: How many different unit fractions are lessorequal than all unit fractions? WM <wolfgang.mueckenheim@tha.de> - 2024-09-05 22:44 +0200
Re: How many different unit fractions are lessorequal than all unit fractions? Python <python@invalid.org> - 2024-09-06 00:36 +0200
Re: How many different unit fractions are lessorequal than all unit fractions? Moebius <invalid@example.invalid> - 2024-09-06 00:45 +0200
Re: How many different unit fractions are lessorequal than all unit fractions? Moebius <invalid@example.invalid> - 2024-09-06 00:46 +0200
Re: How many different unit fractions are lessorequal than all unit fractions? Moebius <invalid@example.invalid> - 2024-09-06 00:49 +0200
Re: How many different unit fractions are lessorequal than all unit fractions? Moebius <invalid@example.invalid> - 2024-09-06 00:50 +0200
Re: How many different unit fractions are lessorequal than all unit fractions? WM <wolfgang.mueckenheim@tha.de> - 2024-09-06 14:24 +0200
Re: How many different unit fractions are lessorequal than all unit fractions? Richard Damon <richard@damon-family.org> - 2024-09-06 22:01 -0400
Re: How many different unit fractions are lessorequal than all unit fractions? WM <wolfgang.mueckenheim@tha.de> - 2024-09-06 14:22 +0200
Re: How many different unit fractions are lessorequal than all unit fractions? joes <noreply@example.org> - 2024-09-06 12:26 +0000
Re: How many different unit fractions are lessorequal than all unit fractions? WM <wolfgang.mueckenheim@tha.de> - 2024-09-06 14:29 +0200
Re: How many different unit fractions are lessorequal than all unit fractions? Python <python@invalid.org> - 2024-09-06 15:42 +0200
Re: How many different unit fractions are lessorequal than all unit fractions? WM <wolfgang.mueckenheim@tha.de> - 2024-09-06 22:42 +0200
Re: How many different unit fractions are lessorequal than all unit fractions? Python <python@invalid.org> - 2024-09-07 11:19 +0200
Re: How many different unit fractions are lessorequal than all unit fractions? WM <wolfgang.mueckenheim@tha.de> - 2024-09-07 12:50 +0200
Re: How many different unit fractions are lessorequal than all unit fractions? joes <noreply@example.org> - 2024-09-07 11:56 +0000
Re: How many different unit fractions are lessorequal than all unit fractions? Moebius <invalid@example.invalid> - 2024-09-07 13:29 +0200
Re: How many different unit fractions are lessorequal than all unit fractions? Moebius <invalid@example.invalid> - 2024-09-07 13:36 +0200
Re: How many different unit fractions are lessorequal than all unit fractions? WM <wolfgang.mueckenheim@tha.de> - 2024-09-07 15:07 +0200
Re: How many different unit fractions are lessorequal than all unit fractions? Richard Damon <richard@damon-family.org> - 2024-09-07 09:21 -0400
Re: How many different unit fractions are lessorequal than all unit fractions? WM <wolfgang.mueckenheim@tha.de> - 2024-09-07 15:33 +0200
Re: How many different unit fractions are lessorequal than all unit fractions? Richard Damon <richard@damon-family.org> - 2024-09-07 10:49 -0400
Re: How many different unit fractions are lessorequal than all unit fractions? WM <wolfgang.mueckenheim@tha.de> - 2024-09-08 21:48 +0200
Re: How many different unit fractions are lessorequal than all unit fractions? Richard Damon <richard@damon-family.org> - 2024-09-08 16:11 -0400
Re: How many different unit fractions are lessorequal than all unit fractions? WM <wolfgang.mueckenheim@tha.de> - 2024-09-09 12:27 +0200
Re: How many different unit fractions are lessorequal than all unit fractions? Richard Damon <richard@damon-family.org> - 2024-09-09 07:32 -0400
Re: How many different unit fractions are lessorequal than all unit fractions? WM <wolfgang.mueckenheim@tha.de> - 2024-09-09 16:53 +0200
Re: How many different unit fractions are lessorequal than all unit fractions? joes <noreply@example.org> - 2024-09-09 15:15 +0000
Re: How many different unit fractions are lessorequal than all unit fractions? WM <wolfgang.mueckenheim@tha.de> - 2024-09-09 17:32 +0200
Re: How many different unit fractions are lessorequal than all unit fractions? joes <noreply@example.org> - 2024-09-09 15:49 +0000
Re: How many different unit fractions are lessorequal than all unit fractions? WM <wolfgang.mueckenheim@tha.de> - 2024-09-09 21:03 +0200
Re: quantifier order joes <noreply@example.org> - 2024-09-09 19:55 +0000
Re: quantifier order WM <wolfgang.mueckenheim@tha.de> - 2024-09-10 18:24 +0200
Re: quantifier order Richard Damon <richard@damon-family.org> - 2024-09-10 21:37 -0400
Re: How many different unit fractions are lessorequal than all unit fractions? Richard Damon <richard@damon-family.org> - 2024-09-10 07:41 -0400
Re: How many different unit fractions are lessorequal than all unit fractions? Richard Damon <richard@damon-family.org> - 2024-09-10 07:41 -0400
Re: How many different unit fractions are lessorequal than all unit fractions? WM <wolfgang.mueckenheim@tha.de> - 2024-09-10 21:03 +0200
Re: How many different unit fractions are lessorequal than all unit fractions? Richard Damon <richard@damon-family.org> - 2024-09-10 21:37 -0400
Re: How many different unit fractions are lessorequal than all unit fractions? joes <noreply@example.org> - 2024-09-09 11:49 +0000
Re: How many different unit fractions are lessorequal than all unit fractions? WM <wolfgang.mueckenheim@tha.de> - 2024-09-09 17:08 +0200
Re: How many different unit fractions are lessorequal than all unit fractions? joes <noreply@example.org> - 2024-09-09 16:02 +0000
Re: How many different unit fractions are lessorequal than all unit fractions? Moebius <invalid@example.invalid> - 2024-09-09 18:32 +0200
Re: How many different unit fractions are lessorequal than all unit fractions? Moebius <invalid@example.invalid> - 2024-09-09 21:25 +0200
Re: How many different unit fractions are lessorequal than all unit fractions? Richard Damon <richard@damon-family.org> - 2024-09-10 21:37 -0400
Re: How many different unit fractions are lessorequal than all unit fractions? joes <noreply@example.org> - 2024-09-08 20:25 +0000
Re: How many different unit fractions are lessorequal than all unit fractions? Moebius <invalid@example.invalid> - 2024-09-08 22:29 +0200
Re: How many different unit fractions are lessorequal than all unit fractions? WM <wolfgang.mueckenheim@tha.de> - 2024-09-09 12:22 +0200
Re: How many different unit fractions are lessorequal than all unit fractions? Richard Damon <richard@damon-family.org> - 2024-09-09 07:40 -0400
Re: How many different unit fractions are lessorequal than all unit fractions? joes <noreply@example.org> - 2024-09-09 11:46 +0000
Re: How many different unit fractions are lessorequal than all unit fractions? WM <wolfgang.mueckenheim@tha.de> - 2024-09-09 16:57 +0200
Re: How many different unit fractions are lessorequal than all unit fractions? joes <noreply@example.org> - 2024-09-09 15:15 +0000
Re: How many different unit fractions are lessorequal than all unit fractions? Richard Damon <richard@damon-family.org> - 2024-09-10 07:49 -0400
Re: How many different unit fractions are lessorequal than all unit fractions? WM <wolfgang.mueckenheim@tha.de> - 2024-09-10 21:05 +0200
Re: How many different unit fractions are lessorequal than all unit fractions? Richard Damon <richard@damon-family.org> - 2024-09-10 21:24 -0400
Re: How many different unit fractions are lessorequal than all unit fractions? "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2024-09-09 16:08 -0700
Re: How many different unit fractions are lessorequal than all unit fractions? Moebius <invalid@example.invalid> - 2024-09-10 02:32 +0200
Re: How many different unit fractions are lessorequal than all unit fractions? Moebius <invalid@example.invalid> - 2024-09-10 02:36 +0200
Re: How many different unit fractions are lessorequal than all unit fractions? "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2024-09-10 11:35 -0700
Re: How many different unit fractions are lessorequal than all unit fractions? "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2024-09-10 11:38 -0700
Re: How many different unit fractions are lessorequal than all unit fractions? WM <wolfgang.mueckenheim@tha.de> - 2024-09-10 21:13 +0200
Re: density of the reals joes <noreply@example.org> - 2024-09-11 06:05 +0000
Re: density of the reals WM <wolfgang.mueckenheim@tha.de> - 2024-09-11 16:33 +0200
Re: How many different unit fractions are lessorequal than all unit fractions? Moebius <invalid@example.invalid> - 2024-09-10 21:30 +0200
Re: How many different unit fractions are lessorequal than all unit fractions? "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2024-09-10 13:33 -0700
Re: How many different unit fractions are lessorequal than all unit fractions? Moebius <invalid@example.invalid> - 2024-09-10 22:38 +0200
Re: How many different unit fractions are lessorequal than all unit fractions? "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2024-09-10 13:48 -0700
Re: How many different unit fractions are lessorequal than all unit fractions? "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2024-09-10 13:49 -0700
Re: How many different unit fractions are lessorequal than all unit fractions? "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2024-09-10 13:56 -0700
Re: How many different unit fractions are lessorequal than all unit fractions? Moebius <invalid@example.invalid> - 2024-09-10 21:27 +0200
Re: How many different unit fractions are lessorequal than all unit fractions? "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2024-09-10 13:54 -0700
Re: How many different unit fractions are lessorequal than all unit fractions? FromTheRafters <FTR@nomail.afraid.org> - 2024-09-09 06:12 -0400
Re: How many different unit fractions are lessorequal than all unit fractions? WM <wolfgang.mueckenheim@tha.de> - 2024-09-07 14:04 +0200
Re: How many different unit fractions are lessorequal than all unit fractions? Richard Damon <richard@damon-family.org> - 2024-09-07 08:37 -0400
Re: How many different unit fractions are lessorequal than all unit fractions? WM <wolfgang.mueckenheim@tha.de> - 2024-09-07 15:03 +0200
Re: How many different unit fractions are lessorequal than all unit fractions? Richard Damon <richard@damon-family.org> - 2024-09-07 09:26 -0400
Re: How many different unit fractions are lessorequal than all unit fractions? joes <noreply@example.org> - 2024-09-07 13:37 +0000
Re: How many different unit fractions are lessorequal than all unit fractions? WM <wolfgang.mueckenheim@tha.de> - 2024-09-07 15:45 +0200
Re: How many different unit fractions are lessorequal than all unit fractions? Richard Damon <richard@damon-family.org> - 2024-09-07 10:51 -0400
Re: How many different unit fractions are lessorequal than all unit fractions? Python <python@invalid.org> - 2024-09-07 16:58 +0200
Re: How many different unit fractions are lessorequal than all unit fractions? WM <wolfgang.mueckenheim@tha.de> - 2024-09-08 21:52 +0200
Re: How many different unit fractions are lessorequal than all unit fractions? Richard Damon <richard@damon-family.org> - 2024-09-08 16:11 -0400
Re: How many different unit fractions are lessorequal than all unit fractions? WM <wolfgang.mueckenheim@tha.de> - 2024-09-09 12:31 +0200
Re: How many different unit fractions are lessorequal than all unit fractions? Richard Damon <richard@damon-family.org> - 2024-09-09 07:47 -0400
Re: How many different unit fractions are lessorequal than all unit fractions? WM <wolfgang.mueckenheim@tha.de> - 2024-09-09 17:01 +0200
Re: How many different unit fractions are lessorequal than all unit fractions? joes <noreply@example.org> - 2024-09-09 15:14 +0000
Re: How many different unit fractions are lessorequal than all unit fractions? WM <wolfgang.mueckenheim@tha.de> - 2024-09-09 17:26 +0200
Re: How many different unit fractions are lessorequal than all unit fractions? joes <noreply@example.org> - 2024-09-09 15:51 +0000
Re: How many different unit fractions are lessorequal than all unit fractions? WM <wolfgang.mueckenheim@tha.de> - 2024-09-09 21:07 +0200
Re: How many different unit fractions are lessorequal than all unit fractions? joes <noreply@example.org> - 2024-09-10 05:59 +0000
Re: How many different unit fractions are lessorequal than all unit fractions? Richard Damon <richard@damon-family.org> - 2024-09-10 07:59 -0400
Re: How many different unit fractions are lessorequal than all unit fractions? WM <wolfgang.mueckenheim@tha.de> - 2024-09-10 21:07 +0200
Re: How many different unit fractions are lessorequal than all unit fractions? Richard Damon <richard@damon-family.org> - 2024-09-10 21:53 -0400
Re: How many different unit fractions are lessorequal than all unit fractions? Richard Damon <richard@damon-family.org> - 2024-09-10 07:54 -0400
Re: How many different unit fractions are lessorequal than all unit fractions? "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2024-09-09 15:50 -0700
Re: How many different unit fractions are lessorequal than all unit fractions? "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2024-09-09 15:57 -0700
Re: How many different unit fractions are lessorequal than all unit fractions? Richard Damon <richard@damon-family.org> - 2024-09-10 07:52 -0400
Re: How many different unit fractions are lessorequal than all unit fractions? joes <noreply@example.org> - 2024-09-09 11:51 +0000
Re: How many different unit fractions are lessorequal than all unit fractions? WM <wolfgang.mueckenheim@tha.de> - 2024-09-09 17:19 +0200
Re: How many different unit fractions are lessorequal than all unit fractions? Richard Damon <richard@damon-family.org> - 2024-09-10 08:03 -0400
Re: How many different unit fractions are lessorequal than all unit fractions? joes <noreply@example.org> - 2024-09-08 20:16 +0000
Re: How many different unit fractions are lessorequal than all unit fractions? WM <wolfgang.mueckenheim@tha.de> - 2024-09-09 12:36 +0200
Re: How many different unit fractions are lessorequal than all unit fractions? Richard Damon <richard@damon-family.org> - 2024-09-09 07:55 -0400
Re: How many different unit fractions are lessorequal than all unit fractions? Python <python@invalid.org> - 2024-09-07 16:05 +0200
Re: How many different unit fractions are lessorequal than all unit fractions? WM <wolfgang.mueckenheim@tha.de> - 2024-09-08 21:28 +0200
Re: How many different unit fractions are lessorequal than all unit fractions? joes <noreply@example.org> - 2024-09-08 20:06 +0000
Re: How many different unit fractions are lessorequal than all unit fractions? WM <wolfgang.mueckenheim@tha.de> - 2024-09-09 12:24 +0200
Re: How many different unit fractions are lessorequal than all unit fractions? joes <noreply@example.org> - 2024-09-09 15:15 +0000
Re: How many different unit fractions are lessorequal than all unit fractions? WM <wolfgang.mueckenheim@tha.de> - 2024-09-09 20:44 +0200
Re: How many different unit fractions are lessorequal than all unit fractions? Jim Burns <james.g.burns@att.net> - 2024-09-09 15:43 -0400
Re: How many different unit fractions are lessorequal than all unit fractions? WM <wolfgang.mueckenheim@tha.de> - 2024-09-10 18:16 +0200
Re: How many different unit fractions are lessorequal than all unit fractions? Jim Burns <james.g.burns@att.net> - 2024-09-10 17:12 -0400
Re: How many different unit fractions are lessorequal than all unit fractions? WM <wolfgang.mueckenheim@tha.de> - 2024-09-11 16:48 +0200
Re: How many different unit fractions are lessorequal than all unit fractions? Jim Burns <james.g.burns@att.net> - 2024-09-11 14:11 -0400
Re: How many different unit fractions are lessorequal than all unit fractions? WM <wolfgang.mueckenheim@tha.de> - 2024-09-11 21:48 +0200
Re: How many different unit fractions are lessorequal than all unit fractions? joes <noreply@example.org> - 2024-09-09 19:57 +0000
Re: How many different unit fractions are lessorequal than all unit fractions? Moebius <invalid@example.invalid> - 2024-09-09 22:28 +0200
Re: How many different unit fractions are lessorequal than all unit fractions? Moebius <invalid@example.invalid> - 2024-09-10 02:50 +0200
Re: How many different unit fractions are lessorequal than all unit fractions? WM <wolfgang.mueckenheim@tha.de> - 2024-09-10 18:27 +0200
Re: How many different unit fractions are lessorequal than all unit fractions? Richard Damon <richard@damon-family.org> - 2024-09-10 21:55 -0400
Re: How many different unit fractions are lessorequal than all unit fractions? Richard Damon <richard@damon-family.org> - 2024-09-10 08:07 -0400
Re: How many different unit fractions are lessorequal than all unit fractions? WM <wolfgang.mueckenheim@tha.de> - 2024-09-10 21:10 +0200
Re: How many different unit fractions are lessorequal than all unit fractions? Richard Damon <richard@damon-family.org> - 2024-09-10 21:58 -0400
Re: How many different unit fractions are lessorequal than all unit fractions? Python <python@invalid.org> - 2024-09-08 22:34 +0200
Re: How many different unit fractions are lessorequal than all unit fractions? WM <wolfgang.mueckenheim@tha.de> - 2024-09-09 12:19 +0200
Re: How many different unit fractions are lessorequal than all unit fractions? Python <python@invalid.org> - 2024-09-09 16:32 +0200
Re: How many different unit fractions are lessorequal than all unit fractions? WM <wolfgang.mueckenheim@tha.de> - 2024-09-09 17:15 +0200
Re: How many different unit fractions are lessorequal than all unit fractions? Python <python@invalid.org> - 2024-09-09 17:27 +0200
Re: How many different unit fractions are lessorequal than all unit fractions? Moebius <invalid@example.invalid> - 2024-09-09 18:26 +0200
Re: How many different unit fractions are lessorequal than all unit fractions? WM <wolfgang.mueckenheim@tha.de> - 2024-09-09 20:49 +0200
Re: How many different unit fractions are lessorequal than all unit fractions? "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2024-09-09 16:02 -0700
Re: How many different unit fractions are lessorequal than all unit fractions? FromTheRafters <FTR@nomail.afraid.org> - 2024-09-10 07:09 -0400
Re: How many different unit fractions are lessorequal than all unit fractions? "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2024-09-10 11:42 -0700
Re: How many different unit fractions are lessorequal than all unit fractions? "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2024-09-10 12:05 -0700
Re: How many different unit fractions are lessorequal than all unit fractions? Moebius <invalid@example.invalid> - 2024-09-10 21:31 +0200
Re: How many different unit fractions are lessorequal than all unit fractions? "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2024-09-10 13:25 -0700
Re: How many different unit fractions are lessorequal than all unit fractions? Moebius <invalid@example.invalid> - 2024-09-10 22:33 +0200
Re: How many different unit fractions are lessorequal than all unit fractions? Moebius <invalid@example.invalid> - 2024-09-10 22:34 +0200
Re: How many different unit fractions are lessorequal than all unit fractions? "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2024-09-10 16:10 -0700
Re: How many different unit fractions are lessorequal than all unit fractions? "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2024-09-10 13:53 -0700
Re: How many different unit fractions are lessorequal than all unit fractions? FromTheRafters <FTR@nomail.afraid.org> - 2024-09-10 15:18 -0400
Re: How many different unit fractions are lessorequal than all unit fractions? WM <wolfgang.mueckenheim@tha.de> - 2024-09-10 20:59 +0200
Re: How many different unit fractions are lessorequal than all unit fractions? FromTheRafters <FTR@nomail.afraid.org> - 2024-09-10 15:20 -0400
Re: How many different unit fractions are lessorequal than all unit fractions? Richard Damon <richard@damon-family.org> - 2024-09-10 22:09 -0400
Re: How many different unit fractions are lessorequal than all unit fractions? WM <wolfgang.mueckenheim@tha.de> - 2024-09-11 16:37 +0200
Re: How many different unit fractions are lessorequal than all unit fractions? joes <noreply@example.org> - 2024-09-11 17:29 +0000
Re: How many different unit fractions are lessorequal than all unit fractions? WM <wolfgang.mueckenheim@tha.de> - 2024-09-11 21:40 +0200
Re: How many different unit fractions are lessorequal than all unit fractions? "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2024-09-11 14:01 -0700
Re: How many different unit fractions are lessorequal than all unit fractions? FromTheRafters <FTR@nomail.afraid.org> - 2024-09-11 17:13 -0400
Re: How many different unit fractions are lessorequal than all unit fractions? WM <wolfgang.mueckenheim@tha.de> - 2024-09-12 11:15 +0000
Re: How many different unit fractions are lessorequal than all unit fractions? FromTheRafters <FTR@nomail.afraid.org> - 2024-09-12 08:29 -0400
Re: How many different unit fractions are lessorequal than all unit fractions? WM <wolfgang.mueckenheim@tha.de> - 2024-09-12 19:48 +0200
Re: How many different unit fractions are lessorequal than all unit fractions? Richard Damon <richard@damon-family.org> - 2024-09-12 14:15 -0400
Re: How many different unit fractions are lessorequal than all unit fractions? "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2024-09-12 11:37 -0700
Re: How many different unit fractions are lessorequal than all unit fractions? WM <wolfgang.mueckenheim@tha.de> - 2024-09-13 17:41 +0200
Re: How many different unit fractions are lessorequal than all unit fractions? Richard Damon <richard@damon-family.org> - 2024-09-13 11:52 -0400
Re: How many different unit fractions are lessorequal than all unit fractions? WM <wolfgang.mueckenheim@tha.de> - 2024-09-13 20:05 +0200
Re: How many different unit fractions are lessorequal than all unit fractions? Richard Damon <richard@damon-family.org> - 2024-09-13 16:52 -0400
Re: How many different unit fractions are lessorequal than all unit fractions? FromTheRafters <FTR@nomail.afraid.org> - 2024-09-13 19:05 -0400
Re: How many different unit fractions are lessorequal than all unit fractions? WM <wolfgang.mueckenheim@tha.de> - 2024-09-14 16:01 +0200
Re: How many different unit fractions are lessorequal than all unit fractions? Richard Damon <richard@damon-family.org> - 2024-09-14 12:33 -0400
Re: How many different unit fractions are lessorequal than all unit fractions? WM <wolfgang.mueckenheim@tha.de> - 2024-09-15 21:52 +0200
Re: How many different unit fractions are lessorequal than all unit fractions? joes <noreply@example.org> - 2024-09-15 21:07 +0000
Re: How many different unit fractions are lessorequal than all unit fractions? 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? 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? "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2024-09-15 14:17 -0700
Re: How many different unit fractions are lessorequal than all unit fractions? Richard Damon <richard@damon-family.org> - 2024-09-15 21:14 -0400
Re: How many different unit fractions are lessorequal than all unit fractions? FromTheRafters <FTR@nomail.afraid.org> - 2024-09-14 13:30 -0400
Re: How many different unit fractions are lessorequal than all unit fractions? "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2024-09-14 16:54 -0700
Re: How many different unit fractions are lessorequal than all unit fractions? Moebius <invalid@example.invalid> - 2024-09-15 02:07 +0200
Re: How many different unit fractions are lessorequal than all unit fractions? "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2024-09-14 17:18 -0700
Re: How many different unit fractions are lessorequal than all unit fractions? Moebius <invalid@example.invalid> - 2024-09-15 04:23 +0200
Re: How many different unit fractions are lessorequal than all unit fractions? "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2024-09-14 21:35 -0700
Re: How many different unit fractions are lessorequal than all unit fractions? WM <wolfgang.mueckenheim@tha.de> - 2024-09-15 21:44 +0200
Re: How many different unit fractions are lessorequal than all unit fractions? FromTheRafters <FTR@nomail.afraid.org> - 2024-09-15 17:24 -0400
Re: How many different unit fractions are lessorequal than all unit fractions? joes <noreply@example.org> - 2024-09-14 18:35 +0000
Re: How many different unit fractions are lessorequal than all unit fractions? "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2024-09-14 17:05 -0700
Re: How many different unit fractions are lessorequal than all unit fractions? Moebius <invalid@example.invalid> - 2024-09-15 02:15 +0200
Re: How many different unit fractions are lessorequal than all unit fractions? "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2024-09-14 17:19 -0700
Re: How many different unit fractions are lessorequal than all unit fractions? Ben Bacarisse <ben@bsb.me.uk> - 2024-09-15 17:38 +0100
Re: How many different unit fractions are lessorequal than all unit fractions? Ross Finlayson <ross.a.finlayson@gmail.com> - 2024-09-15 10:06 -0700
Re: How many different unit fractions are lessorequal than all unit fractions? Ben Bacarisse <ben@bsb.me.uk> - 2024-09-16 22:47 +0100
Re: How many different unit fractions are lessorequal than all unit fractions? "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2024-09-15 12:39 -0700
Re: How many different unit fractions are lessorequal than all unit fractions? Ben Bacarisse <ben@bsb.me.uk> - 2024-09-16 23:02 +0100
Re: How many different unit fractions are lessorequal than all unit fractions? "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2024-09-16 15:03 -0700
Re: How many different unit fractions are lessorequal than all unit fractions? WM <wolfgang.mueckenheim@tha.de> - 2024-09-15 21:39 +0200
Re: How many different unit fractions are lessorequal than all unit fractions? joes <noreply@example.org> - 2024-09-15 21:09 +0000
Re: How many different unit fractions are lessorequal than all unit fractions? 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? WM <wolfgang.mueckenheim@tha.de> - 2024-09-19 14:55 +0200
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? 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? 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? (repleteness) Ross Finlayson <ross.a.finlayson@gmail.com> - 2024-09-14 09:27 -0700
Re: How many different unit fractions are lessorequal than all unit fractions? (repleteness) Ross Finlayson <ross.a.finlayson@gmail.com> - 2024-09-15 09:10 -0700
Re: How many different unit fractions are lessorequal than all unit fractions? (repleteness) FromTheRafters <FTR@nomail.afraid.org> - 2024-09-15 14:03 -0400
Re: How many different unit fractions are lessorequal than all unit fractions? (repleteness) Ross Finlayson <ross.a.finlayson@gmail.com> - 2024-09-15 14:52 -0700
Re: How many different unit fractions are lessorequal than all unit fractions? (repleteness) FromTheRafters <FTR@nomail.afraid.org> - 2024-09-15 18:07 -0400
Re: How many different unit fractions are lessorequal than all unit fractions? (repleteness) "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2024-09-15 15:18 -0700
Re: How many different unit fractions are lessorequal than all unit fractions? (repleteness) Ross Finlayson <ross.a.finlayson@gmail.com> - 2024-09-15 18:31 -0700
Re: How many different unit fractions are lessorequal than all unit fractions? (repleteness) Jim Burns <james.g.burns@att.net> - 2024-09-16 14:13 -0400
Re: How many different unit fractions are lessorequal than all unit fractions? (repleteness) Jim Burns <james.g.burns@att.net> - 2024-09-16 14:24 -0400
Re: How many different unit fractions are lessorequal than all unit fractions? (repleteness) Ross Finlayson <ross.a.finlayson@gmail.com> - 2024-09-16 19:55 -0700
Re: How many different unit fractions are lessorequal than all unit fractions? (repleteness) Jim Burns <james.g.burns@att.net> - 2024-09-17 13:59 -0400
Re: How many different unit fractions are lessorequal than all unit fractions? (repleteness) Ross Finlayson <ross.a.finlayson@gmail.com> - 2024-09-17 11:57 -0700
Re: How many different unit fractions are lessorequal than all unit fractions? (repleteness) Ross Finlayson <ross.a.finlayson@gmail.com> - 2024-09-17 12:18 -0700
Re: How many different unit fractions are lessorequal than all unit fractions? (repleteness) Jim Burns <james.g.burns@att.net> - 2024-09-17 16:11 -0400
Re: How many different unit fractions are lessorequal than all unit fractions? (repleteness) Ross Finlayson <ross.a.finlayson@gmail.com> - 2024-09-17 13:16 -0700
Re: How many different unit fractions are lessorequal than all unit fractions? (repleteness) Jim Burns <james.g.burns@att.net> - 2024-09-17 18:20 -0400
Re: How many different unit fractions are lessorequal than all unit fractions? (repleteness) Ross Finlayson <ross.a.finlayson@gmail.com> - 2024-09-17 19:58 -0700
Re: How many different unit fractions are lessorequal than all unit fractions? (repleteness) Jim Burns <james.g.burns@att.net> - 2024-09-18 10:02 -0400
Re: How many different unit fractions are lessorequal than all unit fractions? (repleteness) Ross Finlayson <ross.a.finlayson@gmail.com> - 2024-09-18 13:11 -0700
Re: How many different unit fractions are lessorequal than all unit fractions? (repleteness) Jim Burns <james.g.burns@att.net> - 2024-09-18 17:27 -0400
Re: How many different unit fractions are lessorequal than all unit fractions? (repleteness) "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2024-09-18 12:37 -0700
Re: How many different unit fractions are lessorequal than all unit fractions? (repleteness) Ross Finlayson <ross.a.finlayson@gmail.com> - 2024-09-18 13:51 -0700
Re: How many different unit fractions are lessorequal than all unit fractions? (repleteness) Ross Finlayson <ross.a.finlayson@gmail.com> - 2024-09-18 21:29 -0700
Re: How many different unit fractions are lessorequal than all unit fractions? (repleteness) Jim Burns <james.g.burns@att.net> - 2024-09-19 13:29 -0400
Re: How many different unit fractions are lessorequal than all unit fractions? (repleteness) Jim Burns <james.g.burns@att.net> - 2024-09-19 14:02 -0400
Re: How many different unit fractions are lessorequal than all unit fractions? FromTheRafters <FTR@nomail.afraid.org> - 2024-09-12 14:28 -0400
Re: How many different unit fractions are lessorequal than all unit fractions? "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2024-09-12 11:33 -0700
Re: How many different unit fractions are lessorequal than all unit fractions? Jim Burns <james.g.burns@att.net> - 2024-09-12 16:54 -0400
Re: How many different unit fractions are lessorequal than all unit fractions? WM <wolfgang.mueckenheim@tha.de> - 2024-09-13 19:20 +0200
Re: How many different unit fractions are lessorequal than all unit fractions? Richard Damon <richard@damon-family.org> - 2024-09-13 13:35 -0400
Re: How many different unit fractions are lessorequal than all unit fractions? Jim Burns <james.g.burns@att.net> - 2024-09-13 17:13 -0400
Re: How many different unit fractions are lessorequal than all unit fractions? WM <wolfgang.mueckenheim@tha.de> - 2024-09-14 18:24 +0200
Re: How many different unit fractions are lessorequal than all unit fractions? Jim Burns <james.g.burns@att.net> - 2024-09-14 14:52 -0400
Re: How many different unit fractions are lessorequal than all unit fractions? "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2024-09-12 11:33 -0700
Re: How many different unit fractions are lessorequal than all unit fractions? "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2024-09-12 12:23 -0700
Re: How many different unit fractions are lessorequal than all unit fractions? Richard Damon <richard@damon-family.org> - 2024-09-11 21:04 -0400
Re: How many different unit fractions are lessorequal than all unit fractions? WM <wolfgang.mueckenheim@tha.de> - 2024-09-12 13:24 +0200
Re: How many different unit fractions are lessorequal than all unit fractions? Richard Damon <richard@damon-family.org> - 2024-09-12 08:29 -0400
Re: How many different unit fractions are lessorequal than all unit fractions? WM <wolfgang.mueckenheim@tha.de> - 2024-09-12 19:44 +0200
Re: How many different unit fractions are lessorequal than all unit fractions? Richard Damon <richard@damon-family.org> - 2024-09-12 14:16 -0400
Re: How many different unit fractions are lessorequal than all unit fractions? WM <wolfgang.mueckenheim@tha.de> - 2024-09-13 17:43 +0200
Re: How many different unit fractions are lessorequal than all unit fractions? Richard Damon <richard@damon-family.org> - 2024-09-13 11:54 -0400
Re: How many different unit fractions are lessorequal than all unit fractions? WM <wolfgang.mueckenheim@tha.de> - 2024-09-13 20:07 +0200
Re: How many different unit fractions are lessorequal than all unit fractions? "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2024-09-13 12:35 -0700
Re: How many different unit fractions are lessorequal than all unit fractions? Richard Damon <richard@damon-family.org> - 2024-09-13 16:53 -0400
Re: How many different unit fractions are lessorequal than all unit fractions? "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2024-09-13 12:35 -0700
Re: How many different unit fractions are lessorequal than all unit fractions? Jim Burns <james.g.burns@att.net> - 2024-09-13 15:07 -0400
Re: How many different unit fractions are lessorequal than all unit fractions? WM <wolfgang.mueckenheim@tha.de> - 2024-09-13 21:27 +0200
Re: How many different unit fractions are lessorequal than all unit fractions? joes <noreply@example.org> - 2024-09-13 06:40 +0000
Re: How many different unit fractions are lessorequal than all unit fractions? WM <wolfgang.mueckenheim@tha.de> - 2024-09-13 18:16 +0200
Re: How many different unit fractions are lessorequal than all unit fractions? Richard Damon <richard@damon-family.org> - 2024-09-13 13:12 -0400
Re: How many different unit fractions are lessorequal than all unit fractions? WM <wolfgang.mueckenheim@tha.de> - 2024-09-13 20:12 +0200
Re: How many different unit fractions are lessorequal than all unit fractions? Richard Damon <richard@damon-family.org> - 2024-09-13 16:58 -0400
Re: How many different unit fractions are lessorequal than all unit fractions? "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2024-09-12 11:30 -0700
Re: How many different unit fractions are lessorequal than all unit fractions? Richard Damon <richard@damon-family.org> - 2024-09-11 21:00 -0400
Re: How many different unit fractions are lessorequal than all unit fractions? WM <wolfgang.mueckenheim@tha.de> - 2024-09-12 11:18 +0000
Re: How many different unit fractions are lessorequal than all unit fractions? Richard Damon <richard@damon-family.org> - 2024-09-12 08:35 -0400
Re: How many different unit fractions are lessorequal than all unit fractions? WM <wolfgang.mueckenheim@tha.de> - 2024-09-12 19:54 +0200
Re: How many different unit fractions are lessorequal than all unit fractions? Richard Damon <richard@damon-family.org> - 2024-09-12 14:20 -0400
Re: How many different unit fractions are lessorequal than all unit fractions? "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2024-09-12 12:21 -0700
Re: How many different unit fractions are lessorequal than all unit fractions? WM <wolfgang.mueckenheim@tha.de> - 2024-09-13 17:45 +0200
Re: How many different unit fractions are lessorequal than all unit fractions? Richard Damon <richard@damon-family.org> - 2024-09-13 11:55 -0400
Re: How many different unit fractions are lessorequal than all unit fractions? "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2024-09-13 12:34 -0700
Re: How many different unit fractions are lessorequal than all unit fractions? "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2024-09-12 11:26 -0700
Re: How many different unit fractions are lessorequal than all unit fractions? joes <noreply@example.org> - 2024-09-13 19:20 +0000
Re: How many different unit fractions are lessorequal than all unit fractions? "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2024-09-12 11:24 -0700
Re: How many different unit fractions are lessorequal than all unit fractions? joes <noreply@example.org> - 2024-09-09 15:55 +0000
Re: How many different unit fractions are lessorequal than all unit fractions? WM <wolfgang.mueckenheim@tha.de> - 2024-09-09 21:08 +0200
Re: How many different unit fractions are lessorequal than all unit fractions? joes <noreply@example.org> - 2024-09-09 19:51 +0000
Re: How many different unit fractions are lessorequal than all unit fractions? WM <wolfgang.mueckenheim@tha.de> - 2024-09-10 18:18 +0200
Re: How many different unit fractions are lessorequal than all unit fractions? Richard Damon <richard@damon-family.org> - 2024-09-10 22:11 -0400
Re: How many different unit fractions are lessorequal than all unit fractions? "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2024-09-10 23:33 -0700
Re: How many different unit fractions are lessorequal than all unit fractions? WM <wolfgang.mueckenheim@tha.de> - 2024-09-11 16:35 +0200
Re: How many different unit fractions are lessorequal than all unit fractions? Jim Burns <james.g.burns@att.net> - 2024-09-11 14:52 -0400
Re: How many different unit fractions are lessorequal than all unit fractions? WM <wolfgang.mueckenheim@tha.de> - 2024-09-11 21:53 +0200
Re: How many different unit fractions are lessorequal than all unit fractions? Jim Burns <james.g.burns@att.net> - 2024-09-12 01:03 -0400
Re: How many different unit fractions are lessorequal than all unit fractions? WM <wolfgang.mueckenheim@tha.de> - 2024-09-12 13:27 +0200
Re: How many different unit fractions are lessorequal than all unit fractions? "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2024-09-12 11:30 -0700
Re: How many different unit fractions are lessorequal than all unit fractions? WM <wolfgang.mueckenheim@tha.de> - 2024-09-12 13:39 +0200
Re: How many different unit fractions are lessorequal than all unit fractions? Richard Damon <richard@damon-family.org> - 2024-09-12 08:38 -0400
Re: How many different unit fractions are lessorequal than all unit fractions? Jim Burns <james.g.burns@att.net> - 2024-09-12 15:12 -0400
Re: How many different unit fractions are lessorequal than all unit fractions? WM <wolfgang.mueckenheim@tha.de> - 2024-09-13 18:23 +0200
Re: How many different unit fractions are lessorequal than all unit fractions? Richard Damon <richard@damon-family.org> - 2024-09-13 13:27 -0400
Re: How many different unit fractions are lessorequal than all unit fractions? WM <wolfgang.mueckenheim@tha.de> - 2024-09-13 20:13 +0200
Re: How many different unit fractions are lessorequal than all unit fractions? Richard Damon <richard@damon-family.org> - 2024-09-13 17:00 -0400
Re: How many different unit fractions are lessorequal than all unit fractions? "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2024-09-13 12:31 -0700
Re: How many different unit fractions are lessorequal than all unit fractions? Richard Damon <richard@damon-family.org> - 2024-09-10 22:10 -0400
Re: How many different unit fractions are lessorequal than all unit fractions? Richard Damon <richard@damon-family.org> - 2024-09-10 22:01 -0400
Re: How many different unit fractions are lessorequal than all unit fractions? "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2024-09-09 16:01 -0700
Re: How many different unit fractions are lessorequal than all unit fractions? FromTheRafters <FTR@nomail.afraid.org> - 2024-09-06 14:17 -0400
Re: How many different unit fractions are lessorequal than all unit fractions? WM <wolfgang.mueckenheim@tha.de> - 2024-09-06 22:54 +0200
Re: How many different unit fractions are lessorequal than all unit fractions? FromTheRafters <FTR@nomail.afraid.org> - 2024-09-06 18:31 -0400
Re: How many different unit fractions are lessorequal than all unit fractions? (replete large numbers) Ross Finlayson <ross.a.finlayson@gmail.com> - 2024-09-06 16:38 -0700
Re: How many different unit fractions are lessorequal than all unit fractions? (replete large numbers) FromTheRafters <FTR@nomail.afraid.org> - 2024-09-07 06:30 -0400
Re: How many different unit fractions are lessorequal than all unit fractions? (replete large numbers) Ross Finlayson <ross.a.finlayson@gmail.com> - 2024-09-07 08:27 -0700
Re: How many different unit fractions are lessorequal than all unit fractions? Richard Damon <richard@damon-family.org> - 2024-09-06 22:01 -0400
Re: How many different unit fractions are lessorequal than all unit fractions? Jim Burns <james.g.burns@att.net> - 2024-09-05 20:27 -0400
Re: How many different unit fractions are lessorequal than all unit fractions? Richard Damon <richard@damon-family.org> - 2024-09-04 20:35 -0400
Re: How many different unit fractions are lessorequal than all unit fractions? WM <wolfgang.mueckenheim@tha.de> - 2024-09-05 14:03 +0000
Re: How many different unit fractions are lessorequal than all unit fractions? Richard Damon <richard@damon-family.org> - 2024-09-05 23:03 -0400
Re: How many different unit fractions are lessorequal than all unit fractions? Jim Burns <james.g.burns@att.net> - 2024-09-04 14:08 -0400
Re: How many different unit fractions are lessorequal than all unit fractions? WM <wolfgang.mueckenheim@tha.de> - 2024-09-04 22:23 +0200
Re: How many different unit fractions are lessorequal than all unit fractions? Jim Burns <james.g.burns@att.net> - 2024-09-04 17:26 -0400
Re: How many different unit fractions are lessorequal than all unit fractions? WM <wolfgang.mueckenheim@tha.de> - 2024-09-05 13:59 +0000
Re: How many different unit fractions are lessorequal than all unit fractions? Jim Burns <james.g.burns@att.net> - 2024-09-05 15:57 -0400
Re: How many different unit fractions are lessorequal than all unit fractions? WM <wolfgang.mueckenheim@tha.de> - 2024-09-06 14:12 +0200
Re: How many different unit fractions are lessorequal than all unit fractions? joes <noreply@example.org> - 2024-09-06 12:38 +0000
Re: How many different unit fractions are lessorequal than all unit fractions? WM <wolfgang.mueckenheim@tha.de> - 2024-09-06 22:40 +0200
Re: How many different unit fractions are lessorequal than all unit fractions? Richard Damon <richard@damon-family.org> - 2024-09-06 22:01 -0400
Re: How many different unit fractions are lessorequal than all unit fractions? WM <wolfgang.mueckenheim@tha.de> - 2024-09-07 15:08 +0200
Re: How many different unit fractions are lessorequal than all unit fractions? Richard Damon <richard@damon-family.org> - 2024-09-07 09:30 -0400
Re: How many different unit fractions are lessorequal than all unit fractions? "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2024-09-07 14:50 -0700
Re: How many different unit fractions are lessorequal than all unit fractions? FromTheRafters <FTR@nomail.afraid.org> - 2024-09-07 19:11 -0400
Re: How many different unit fractions are lessorequal than all unit fractions? "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2024-09-07 16:15 -0700
Re: How many different unit fractions are lessorequal than all unit fractions? joes <noreply@example.org> - 2024-09-08 08:33 +0000
Re: How many different unit fractions are lessorequal than all unit fractions? Jim Burns <james.g.burns@att.net> - 2024-09-06 12:41 -0400
Re: How many different unit fractions are lessorequal than all unit fractions? WM <wolfgang.mueckenheim@tha.de> - 2024-09-06 22:52 +0200
Re: How many different unit fractions are lessorequal than all unit fractions? Jim Burns <james.g.burns@att.net> - 2024-09-06 19:51 -0400
Re: How many different unit fractions are lessorequal than all unit fractions? WM <wolfgang.mueckenheim@tha.de> - 2024-09-07 13:02 +0200
Re: How many different unit fractions are lessorequal than all unit fractions? Richard Damon <richard@damon-family.org> - 2024-09-07 08:41 -0400
Re: How many different unit fractions are lessorequal than all unit fractions? joes <noreply@example.org> - 2024-09-07 13:36 +0000
Re: How many different unit fractions are lessorequal than all unit fractions? WM <wolfgang.mueckenheim@tha.de> - 2024-09-07 15:49 +0200
Re: How many different unit fractions are lessorequal than all unit fractions? Richard Damon <richard@damon-family.org> - 2024-09-07 10:53 -0400
Re: How many different unit fractions are lessorequal than all unit fractions? "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2024-09-07 14:47 -0700
Re: How many different unit fractions are lessorequal than all unit fractions? Jim Burns <james.g.burns@att.net> - 2024-09-07 15:01 -0400
Re: How many different unit fractions are lessorequal than all unit fractions? Ross Finlayson <ross.a.finlayson@gmail.com> - 2024-09-07 12:13 -0700
Re: How many different unit fractions are lessorequal than all unit fractions? Ross Finlayson <ross.a.finlayson@gmail.com> - 2024-09-07 12:31 -0700
Re: How many different unit fractions are lessorequal than all unit fractions? Jim Burns <james.g.burns@att.net> - 2024-09-07 20:29 -0400
Re: How many different unit fractions are lessorequal than all unit fractions? (constructive) Ross Finlayson <ross.a.finlayson@gmail.com> - 2024-09-07 19:29 -0700
Re: How many different unit fractions are lessorequal than all unit fractions? (constructive) Ross Finlayson <ross.a.finlayson@gmail.com> - 2024-09-08 08:39 -0700
Re: How many different unit fractions are lessorequal than all unit fractions? (constructive) Jim Burns <james.g.burns@att.net> - 2024-09-08 15:13 -0400
Re: How many different unit fractions are lessorequal than all unit fractions? (constructive) Ross Finlayson <ross.a.finlayson@gmail.com> - 2024-09-08 15:34 -0700
Re: How many different unit fractions are lessorequal than all unit fractions? (constructive) Jim Burns <james.g.burns@att.net> - 2024-09-09 00:59 -0400
Re: How many different unit fractions are lessorequal than all unit fractions? (constructive) Ross Finlayson <ross.a.finlayson@gmail.com> - 2024-09-09 09:59 -0700
Re: How many different unit fractions are lessorequal than all unit fractions? (constructive) Jim Burns <james.g.burns@att.net> - 2024-09-09 14:23 -0400
Re: How many different unit fractions are lessorequal than all unit fractions? (constructive) Ross Finlayson <ross.a.finlayson@gmail.com> - 2024-09-09 20:11 -0700
Re: How many different unit fractions are lessorequal than all unit fractions? (constructive) Ross Finlayson <ross.a.finlayson@gmail.com> - 2024-09-09 20:14 -0700
Re: How many different unit fractions are lessorequal than all unit fractions? (constructive) Jim Burns <james.g.burns@att.net> - 2024-09-10 05:21 -0400
Re: How many different unit fractions are lessorequal than all unit fractions? (constructive) Ross Finlayson <ross.a.finlayson@gmail.com> - 2024-09-10 17:24 -0700
Re: How many different unit fractions are lessorequal than all unit fractions? (constructive) Jim Burns <james.g.burns@att.net> - 2024-09-12 14:05 -0400
Re: How many different unit fractions are lessorequal than all unit fractions? (constructive) Ross Finlayson <ross.a.finlayson@gmail.com> - 2024-09-16 19:53 -0700
Re: How many different unit fractions are lessorequal than all unit fractions? (constructive) Jim Burns <james.g.burns@att.net> - 2024-09-17 15:26 -0400
Re: How many different unit fractions are lessorequal than all unit fractions? (constructive) Ross Finlayson <ross.a.finlayson@gmail.com> - 2024-09-17 13:10 -0700
Re: How many different unit fractions are lessorequal than all unit fractions? (constructive) Ross Finlayson <ross.a.finlayson@gmail.com> - 2024-09-12 13:42 -0700
Re: How many different unit fractions are lessorequal than all unit fractions? (constructive) Jim Burns <james.g.burns@att.net> - 2024-09-12 18:00 -0400
Re: How many different unit fractions are lessorequal than all unit fractions? (constructive) Ross Finlayson <ross.a.finlayson@gmail.com> - 2024-09-12 20:08 -0700
Re: How many different unit fractions are lessorequal than all unit fractions? "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2024-09-07 14:48 -0700
Re: How many different unit fractions are lessorequal than all unit fractions? FromTheRafters <FTR@nomail.afraid.org> - 2024-09-07 19:17 -0400
Re: How many different unit fractions are lessorequal than all unit fractions? "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2024-09-07 16:19 -0700
Re: How many different unit fractions are lessorequal than all unit fractions? FromTheRafters <FTR@nomail.afraid.org> - 2024-09-07 19:26 -0400
Re: How many different unit fractions are lessorequal than all unit fractions? "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2024-09-07 23:47 -0700
Re: How many different unit fractions are lessorequal than all unit fractions? WM <wolfgang.mueckenheim@tha.de> - 2024-09-08 21:39 +0200
Re: How many different unit fractions are lessorequal than all unit fractions? Jim Burns <james.g.burns@att.net> - 2024-09-08 16:21 -0400
Re: How many different unit fractions are lessorequal than all unit fractions? WM <wolfgang.mueckenheim@tha.de> - 2024-09-09 12:39 +0200
Re: How many different unit fractions are lessorequal than all unit fractions? Jim Burns <james.g.burns@att.net> - 2024-09-09 15:05 -0400
Re: How many different unit fractions are lessorequal than all unit fractions? WM <wolfgang.mueckenheim@tha.de> - 2024-09-09 21:13 +0200
Re: How many different unit fractions are lessorequal than all unit fractions? Jim Burns <james.g.burns@att.net> - 2024-09-09 16:20 -0400
Re: How many different unit fractions are lessorequal than all unit fractions? FromTheRafters <FTR@nomail.afraid.org> - 2024-09-09 06:27 -0400
Re: How many different unit fractions are lessorequal than all unit fractions? joes <noreply@example.org> - 2024-09-07 13:33 +0000
Re: How many different unit fractions are lessorequal than all unit fractions? WM <wolfgang.mueckenheim@tha.de> - 2024-09-07 15:41 +0200
Re: How many different unit fractions are lessorequal than all unit fractions? Richard Damon <richard@damon-family.org> - 2024-09-07 10:58 -0400
Re: How many different unit fractions are lessorequal than all unit fractions? Richard Damon <richard@damon-family.org> - 2024-09-06 22:01 -0400
Re: How many different unit fractions are lessorequal than all unit fractions? WM <wolfgang.mueckenheim@tha.de> - 2024-09-07 14:55 +0200
Re: How many different unit fractions are lessorequal than all unit fractions? Richard Damon <richard@damon-family.org> - 2024-09-07 08:58 -0400
Re: How many different unit fractions are lessorequal than all unit fractions? WM <wolfgang.mueckenheim@tha.de> - 2024-09-07 15:31 +0200
Re: How many different unit fractions are lessorequal than all unit fractions? Richard Damon <richard@damon-family.org> - 2024-09-07 11:02 -0400
Re: How many different unit fractions are lessorequal than all unit fractions? "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2024-09-07 14:51 -0700
Re: How many different unit fractions are lessorequal than all unit fractions? Moebius <invalid@example.invalid> - 2024-09-08 02:15 +0200
Re: How many different unit fractions are lessorequal than all unit fractions? Moebius <invalid@example.invalid> - 2024-09-08 02:17 +0200
Re: How many different unit fractions are lessorequal than all unit fractions? "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2024-09-07 23:50 -0700
Re: How many different unit fractions are lessorequal than all unit fractions? Python <python@invalid.org> - 2024-09-07 15:53 +0200
Re: How many different unit fractions are lessorequal than all unit fractions? Richard Damon <richard@damon-family.org> - 2024-09-04 20:38 -0400
Re: How many different unit fractions are lessorequal than all unit fractions? "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2024-09-05 00:30 -0700
Re: How many different unit fractions are lessorequal than all unit fractions? Moebius <invalid@example.invalid> - 2024-09-05 16:22 +0200
Re: How many different unit fractions are lessorequal than all unit fractions? WM <wolfgang.mueckenheim@tha.de> - 2024-09-05 16:29 +0200
Re: How many different unit fractions are lessorequal than all unit fractions? Richard Damon <richard@damon-family.org> - 2024-09-05 23:06 -0400
Re: How many different unit fractions are lessorequal than all unit fractions? "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2024-09-06 15:10 -0700
Re: How many different unit fractions are lessorequal than all unit fractions? Moebius <invalid@example.invalid> - 2024-09-07 00:28 +0200
Re: How many different unit fractions are lessorequal than all unit fractions? WM <wolfgang.mueckenheim@tha.de> - 2024-09-05 14:08 +0000
Re: How many different unit fractions are lessorequal than all unit fractions? Richard Damon <richard@damon-family.org> - 2024-09-05 23:08 -0400
Re: How many different unit fractions are lessorequal than all unit fractions? WM <wolfgang.mueckenheim@tha.de> - 2024-09-06 14:07 +0200
Re: How many different unit fractions are lessorequal than all unit fractions? Richard Damon <richard@damon-family.org> - 2024-09-06 22:01 -0400
Re: How many different unit fractions are lessorequal than all unit fractions? Ross Finlayson <ross.a.finlayson@gmail.com> - 2024-09-06 20:00 -0700
Re: How many different unit fractions are lessorequal than all unit fractions? Richard Damon <richard@damon-family.org> - 2024-09-07 08:57 -0400
Re: How many different unit fractions are lessorequal than all unit fractions? Ross Finlayson <ross.a.finlayson@gmail.com> - 2024-09-07 08:34 -0700
Re: How many different unit fractions are lessorequal than all unit fractions? Ross Finlayson <ross.a.finlayson@gmail.com> - 2024-09-07 09:14 -0700
Re: How many different unit fractions are lessorequal than all unit fractions? Richard Damon <richard@damon-family.org> - 2024-09-07 12:27 -0400
Re: How many different unit fractions are lessorequal than all unit fractions? Ross Finlayson <ross.a.finlayson@gmail.com> - 2024-09-07 10:11 -0700
Re: How many different unit fractions are lessorequal than all unit fractions? WM <wolfgang.mueckenheim@tha.de> - 2024-09-07 15:06 +0200
Re: How many different unit fractions are lessorequal than all unit fractions? Richard Damon <richard@damon-family.org> - 2024-09-07 09:35 -0400
Re: How many different unit fractions are lessorequal than all unit fractions? joes <noreply@example.org> - 2024-09-07 13:44 +0000
Re: How many different unit fractions are lessorequal than all unit fractions? "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2024-09-07 14:43 -0700
Re: How many different unit fractions are lessorequal than all unit fractions? "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2024-09-12 13:36 -0700
Re: How many different unit fractions are lessorequal than all unit fractions? Moebius <invalid@example.invalid> - 2024-09-12 23:40 +0200
Re: How many different unit fractions are lessorequal than all unit fractions? WM <wolfgang.mueckenheim@tha.de> - 2024-09-13 19:16 +0200
Re: How many different unit fractions are lessorequal than all unit fractions? Richard Damon <richard@damon-family.org> - 2024-09-13 13:32 -0400
Re: How many different unit fractions are lessorequal than all unit fractions? WM <wolfgang.mueckenheim@tha.de> - 2024-09-13 20:14 +0200
Re: How many different unit fractions are lessorequal than all unit fractions? Richard Damon <richard@damon-family.org> - 2024-09-13 17:02 -0400
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