Re: Does the number of nines increase?

Liste des GroupesRevenir à s math 
Sujet : Re: Does the number of nines increase?
De : wolfgang.mueckenheim (at) *nospam* tha.de (WM)
Groupes : sci.math
Date : 05. Jul 2024, 08:44:40
Autres entêtes
Organisation : Nemoweb
Message-ID : <I4-WhWLok5yBONlyAwEy2DcyUi0@jntp>
References : 1 2 3 4 5 6 7 8 9 10
User-Agent : Nemo/0.999a
Le 04/07/2024 à 18:39, joes a écrit :
Am Thu, 04 Jul 2024 13:19:35 +0000 schrieb WM:
Not every x > 0 is larger than ℵo finite
distances.
That depends on the size of those distances.
Wrong, and easily proved wrong: NUF(x), the number of unit fractions between 0 and x increases from 0 to more. It cannot grow by more than 1 at any real point x because at any x only one unit fraction can exist.

Hinweis: Für jedes x e IR mit x > 0 gibt es (abzählbar) unendlich viele
Stammbrüche s, so dass s < x ist.
Only for x larger than ℵo finite distances.
Which ones aren’t?
Any x within the first distance. Note that without a first distance ℵo distances cannot exist.
Regards, WM

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