Sujet : Re: There is a first/smallest integer (in Mückenland)
De : invalid (at) *nospam* example.invalid (Moebius)
Groupes : sci.mathDate : 18. Jul 2024, 07:09:42
Autres entêtes
Organisation : A noiseless patient Spider
Message-ID : <v7abj6$29gck$2@dont-email.me>
References : 1 2 3 4 5 6 7 8 9
User-Agent : Mozilla Thunderbird
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", Du dummer Spinner.
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