Re: Replacement of Cardinality

Liste des GroupesRevenir à math 
Sujet : Re: Replacement of Cardinality
De : wolfgang.mueckenheim (at) *nospam* tha.de (WM)
Groupes : sci.logic sci.math
Date : 16. Aug 2024, 17:19:17
Autres entêtes
Organisation : Nemoweb
Message-ID : <LHtSphVaxvF9i9lsFtvEfbB4PS8@jntp>
References : 1 2 3 4 5 6 7 8 9 10
User-Agent : Nemo/0.999a
Le 15/08/2024 à 18:16, Jim Burns a écrit :
On 8/15/2024 9:52 AM, WM wrote:

⎜ Assume NUF(x) = 0 and x > 0
We assume that NUF(0) = 0 and many unit fractions are within (0, 1].
We can reduce the interval to (0, x) c [0, 1]. Let x converge to 0.
Then the number of unit fractions diminishes. Finally there is none remaining. But never, for no interval (0, x), more than one unit fraction is lost. Therefore there is only one last unit fraction.
Regards, WM

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