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, 11:36:22
Autres entêtes
Organisation : A noiseless patient Spider
Message-ID : <vbmj35$2ce09$1@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
User-Agent : Mozilla Thunderbird
On 08.09.2024 22:16, joes wrote:
Am Sat, 07 Sep 2024 15:45:08 +0200 schrieb WM:
On 07.09.2024 15:37, joes wrote:
Am Sat, 07 Sep 2024 15:03:35 +0200 schrieb WM:
>
By the way this is independent of the existence of NUF.
Why can they not „fit”?
Because ℵo unit fractions have ℵo gaps. We can use one of the gaps as
x > 0.
What does this mean?
ℵo unit fractions are claimed to be smaller than every x > 0. If they are existing then I can choose as the x one of the ℵo intervals between two of them. Irrelevant which one, ℵo unit fractions do not fit into it.
Regards, WM

Date Sujet#  Auteur
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