Re: how

Liste des GroupesRevenir à s math 
Sujet : Re: how
De : wolfgang.mueckenheim (at) *nospam* tha.de (WM)
Groupes : sci.math
Date : 15. May 2024, 14:25:24
Autres entêtes
Organisation : Nemoweb
Message-ID : <RRoBVjsUWenegO63s4d5Pd6O24Y@jntp>
References : 1 2 3 4 5 6 7 8 9 10
User-Agent : Nemo/0.999a
Le 14/05/2024 à 21:36, Moebius a écrit :
Am 14.05.2024 um 14:47 schrieb WM:
  > can [you] show the point x where ℵ₀ unit fractions sit.
 Nein, Mückenheim, den Punkt kann man nicht zeigen, da es ihn nicht gibt.
Also gibt es einen ersten Stammbruc.
 In jeder epsilon-Umgebung um 0 gibt es allerdings abzählbar unendlich viele Stammbrüche.
Ja, jede epsilon-Umgebung. But we are interested in NUF(x), not NUF(eps).
  > Where does NUF(x) change from 0 to ℵ₀?
 NUF besitzt im Punkt x = 0 eine "Unstetigkeitsstelle",
No.
 NUF(x) = 0 für x <= 0
 und
 NUF(x) = ℵ₀ für x > 0.
That is nonsense. Mathmatics proves ∀n ∈ ℕ: 1/n - 1/(n+1) = 1/(n(n+1)) > 0.
==> NUF(x) is not larger than 1 before NUF(x) = 1 has been realized.
Regards, WM

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