Sujet : Re: There is a first/smallest integer (in Mückenland)
De : wolfgang.mueckenheim (at) *nospam* tha.de (WM)
Groupes : sci.mathDate : 17. Jul 2024, 16:08:30
Autres entêtes
Organisation : Nemoweb
Message-ID : <7mXj2D8kEhAscu3HLTqTUKsaj18@jntp>
References : 1 2 3
User-Agent : Nemo/0.999a
Le 17/07/2024 à 16:56, Moebius a écrit :
Am 17.07.2024 um 16:43 schrieb WM:
Can you explain how NUF(x) can [jump] from 0 [at x = 0] to [aleph_0] [at any] point x [> 0] although all unit fractions are separated by finite distances [...]
Yes, of course: For each and every x e IR, x > 0 there are countably-infinitely many unit fractions which are <= x. (Hint: No first one.)
Not that hard, is it?
Thema verfehlt. The question is: How does NUF(x) increase from 0 to more? You know? There is a point where NUF is 0 and then it increases. How?
Regards, WM
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