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

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Sujet : Re: How many different unit fractions are lessorequal than all unit fractions?
De : invalid (at) *nospam* example.invalid (Moebius)
Groupes : sci.math
Date : 28. Sep 2024, 21:20:12
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Am 28.09.2024 um 06:26 schrieb Chris M. Thomasson:
On 9/27/2024 3:13 PM, FromTheRafters wrote:
WM expressed precisely :
On 25.09.2024 19:22, Richard Damon wrote:
On 9/25/24 11:14 AM, WM wrote:

NUF increases
No, it "jumps at 0".
MEANING: NUF(0) = 0 and Ax > 0: NUF(x) = aleph_0.

At no point it can increase by more than 1.
Why not?
>
Because there is a finite gap between two [adjacent] unit fractions.
Using WM's mantra: An e IN: 1/n - 1/(n + 1) > 0.

Date Sujet#  Auteur
2 Sep 24 * How many different unit fractions are lessorequal than all unit fractions?2203WM
2 Sep 24 +* Re: How many different unit fractions are lessorequal than all unit fractions?2098Richard Damon
2 Sep 24 i`* Re: How many different unit fractions are lessorequal than all unit fractions?2097WM
2 Sep 24 i +* Re: How many different unit fractions are lessorequal than all unit fractions?5Richard Damon
3 Sep 24 i i`* Re: How many different unit fractions are lessorequal than all unit fractions?4WM
3 Sep 24 i i `* Re: How many different unit fractions are lessorequal than all unit fractions?3Richard Damon
3 Sep 24 i i  `* Re: How many different unit fractions are lessorequal than all unit fractions?2WM
4 Sep 24 i i   `- Re: How many different unit fractions are lessorequal than all unit fractions?1Richard Damon
3 Sep 24 i `* Re: How many different unit fractions are lessorequal than all unit fractions?2091Jim Burns
3 Sep 24 i  `* Re: How many different unit fractions are lessorequal than all unit fractions?2090WM
3 Sep 24 i   `* Re: How many different unit fractions are lessorequal than all unit fractions?2089Jim Burns
4 Sep 24 i    `* Re: How many different unit fractions are lessorequal than all unit fractions?2088WM
4 Sep 24 i     +* Re: How many different unit fractions are lessorequal than all unit fractions?2084Jim Burns
5 Sep 24 i     i`* Re: How many different unit fractions are lessorequal than all unit fractions?2083WM
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5 Sep 24 i     i  `* Re: How many different unit fractions are lessorequal than all unit fractions?2081WM
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7 Sep 24 i     i   ii  `- Re: How many different unit fractions are lessorequal than all unit fractions?1Richard Damon
6 Sep 24 i     i   i`* Re: How many different unit fractions are lessorequal than all unit fractions?2074WM
6 Sep 24 i     i   i +* Re: How many different unit fractions are lessorequal than all unit fractions?2065joes
6 Sep 24 i     i   i i`* Re: How many different unit fractions are lessorequal than all unit fractions?2064WM
6 Sep 24 i     i   i i `* Re: How many different unit fractions are lessorequal than all unit fractions?2063Python
6 Sep 24 i     i   i i  `* Re: How many different unit fractions are lessorequal than all unit fractions?2062WM
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7 Sep 24 i     i   i i    i`- Re: How many different unit fractions are lessorequal than all unit fractions?1joes
7 Sep 24 i     i   i i    `* Re: How many different unit fractions are lessorequal than all unit fractions?2058Moebius
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7 Sep 24 i     i   i i     i`* Re: How many different unit fractions are lessorequal than all unit fractions?54WM
7 Sep 24 i     i   i i     i `* Re: How many different unit fractions are lessorequal than all unit fractions?53Richard Damon
7 Sep 24 i     i   i i     i  `* Re: How many different unit fractions are lessorequal than all unit fractions?52WM
7 Sep 24 i     i   i i     i   `* Re: How many different unit fractions are lessorequal than all unit fractions?51Richard Damon
8 Sep 24 i     i   i i     i    `* Re: How many different unit fractions are lessorequal than all unit fractions?50WM
8 Sep 24 i     i   i i     i     +* Re: How many different unit fractions are lessorequal than all unit fractions?21Richard Damon
9 Sep 24 i     i   i i     i     i`* Re: How many different unit fractions are lessorequal than all unit fractions?20WM
9 Sep 24 i     i   i i     i     i +* Re: How many different unit fractions are lessorequal than all unit fractions?13Richard Damon
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9 Sep 24 i     i   i i     i     i i i`* Re: How many different unit fractions are lessorequal than all unit fractions?7WM
9 Sep 24 i     i   i i     i     i i i +* Re: How many different unit fractions are lessorequal than all unit fractions?5joes
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10 Sep 24 i     i   i i     i     i i `* Re: How many different unit fractions are lessorequal than all unit fractions?3Richard Damon
10 Sep 24 i     i   i i     i     i i  `* Re: How many different unit fractions are lessorequal than all unit fractions?2WM
11 Sep 24 i     i   i i     i     i i   `- Re: How many different unit fractions are lessorequal than all unit fractions?1Richard Damon
9 Sep 24 i     i   i i     i     i `* Re: How many different unit fractions are lessorequal than all unit fractions?6joes
9 Sep 24 i     i   i i     i     i  `* Re: How many different unit fractions are lessorequal than all unit fractions?5WM
9 Sep 24 i     i   i i     i     i   +* Re: How many different unit fractions are lessorequal than all unit fractions?3joes
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11 Sep 24 i     i   i i     i     i   `- Re: How many different unit fractions are lessorequal than all unit fractions?1Richard Damon
8 Sep 24 i     i   i i     i     `* Re: How many different unit fractions are lessorequal than all unit fractions?28joes
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9 Sep 24 i     i   i i     i      i`* Re: How many different unit fractions are lessorequal than all unit fractions?25WM
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10 Sep 24 i     i   i i     i      i i `* Re: How many different unit fractions are lessorequal than all unit fractions?3Richard Damon
10 Sep 24 i     i   i i     i      i i  `* Re: How many different unit fractions are lessorequal than all unit fractions?2WM
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