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 : wolfgang.mueckenheim (at) *nospam* tha.de (WM)
Groupes : sci.math
Date : 09. Sep 2024, 11:22:21
Autres entêtes
Organisation : A noiseless patient Spider
Message-ID : <vbmi8t$2ce0a$2@dont-email.me>
References : 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26
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On 08.09.2024 22:29, Moebius wrote:
Am 08.09.2024 um 22:25 schrieb joes:
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?
 Weiß niemand.
ℵo unit fractions cannot fit into one of the ℵo intervals between two of them, because ℵo unit fractions occupy ℵo intervals.
Regards, WM

Date Sujet#  Auteur
2 Sep 24 * How many different unit fractions are lessorequal than all unit fractions?2198WM
2 Sep 24 +* Re: How many different unit fractions are lessorequal than all unit fractions?2094Richard Damon
2 Sep 24 i`* Re: How many different unit fractions are lessorequal than all unit fractions?2093WM
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
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3 Sep 24 i `* Re: How many different unit fractions are lessorequal than all unit fractions?2087Jim Burns
3 Sep 24 i  `* Re: How many different unit fractions are lessorequal than all unit fractions?2086WM
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4 Sep 24 i    `* Re: How many different unit fractions are lessorequal than all unit fractions?2084WM
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7 Sep 24 i     i   i i     i `* Re: How many different unit fractions are lessorequal than all unit fractions?53Richard Damon
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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?20WM
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