Sujet : Re: There is a first/smallest integer (in Mückenland)
De : invalid (at) *nospam* example.invalid (Moebius)
Groupes : sci.mathDate : 17. Jul 2024, 18:26:23
Autres entêtes
Organisation : A noiseless patient Spider
Message-ID : <v78urv$1ue32$1@dont-email.me>
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Am 17.07.2024 um 19:16 schrieb WM:
Le 17/07/2024 à 18:32, Moebius a écrit :
Hint: NFU(x) := |{u e {1/n : n e IN} : u <= x}|
>
This means NFU(x) = a iff the (cardinal)number of the set of unit fractions which are <= x is a.
NUF <bla>
Yes, hence:
NUF(x) = 0 for all x e IR, x <= 0
and
NUF(x) = aleph_0 for all x e IR, x > 0 .