Sujet : Re: There is a first/smallest integer (in Mückenland)
De : invalid (at) *nospam* example.invalid (Moebius)
Groupes : sci.mathDate : 17. Jul 2024, 16:21:16
Autres entêtes
Organisation : A noiseless patient Spider
Message-ID : <v78nhc$1so1t$2@dont-email.me>
References : 1 2 3 4
User-Agent : Mozilla Thunderbird
Am 17.07.2024 um 17:08 schrieb WM:
There is a point where NUF is 0
Yes, for all points x <= 0.
and then it increases.
No, it does not "increase", it _jumps_ "at" x = 0.
MEANING:
NUF(x) = 0 for all x e IR, x <= 0
and
NUF(x) = aleph_0 for all x e IR, x > 0
Not that hard, is it?
How?
Huh?! Ask it, it might tell you!
A reasonable question might be: "Why?"
Because for each and every x e IR, x > 0 there are countably-infinitely many unit fractions which are <= x (hint: No first one) AND for each and every x e IR, x <= 0 there is no unit fractions which is <= x.
Not that hard, is it?
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