Sujet : Re: There is a first/smallest integer (in Mückenland)
De : wolfgang.mueckenheim (at) *nospam* tha.de (WM)
Groupes : sci.mathDate : 18. Jul 2024, 14:41:32
Autres entêtes
Organisation : Nemoweb
Message-ID : <A5do-4u54IXwdqnUSsUaABwvhQg@jntp>
References : 1 2 3 4 5 6 7 8 9 10
User-Agent : Nemo/0.999a
Le 18/07/2024 à 08:09, Moebius a écrit :
Am 17.07.2024 um 23:20 schrieb WM:
The question is: How does NUF(x) [jump] from 0 to more? There is a point [namely x = 0] where NUF(x) is 0 and then it [jumps]. How?
Hint: NUF(x) := |{u e {1/n : n e IN} : u <= x}| (x e IR) .
Hence
NUF(x) = 0 for all x e IR, x <= 0
and
NUF(x) = aleph_0 for all x e IR, x > 0 .
That's "how"
Not if all unit fractions have distances. Do you despise basic mathematics?
Regards, WM
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