Re: How many different unit fractions are lessorequal than all unit fractions?

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Sujet : Re: How many different unit fractions are lessorequal than all unit fractions?
De : wolfgang.mueckenheim (at) *nospam* tha.de (WM)
Groupes : sci.math
Date : 25. Sep 2024, 16:14:27
Autres entêtes
Organisation : A noiseless patient Spider
Message-ID : <vd19cj$3njbg$2@dont-email.me>
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On 24.09.2024 23:47, FromTheRafters wrote:
on 9/24/2024, WM supposed :

The function NUF(0) increases. ∀n ∈ ℕ: 1/n - 1/(n+1) > 0 proves that it can gain only one unit fraction at any point x ∈ ℝ, hence NUF has to pass the value 1.
 It means "For all" and says nothing about starting somewhere, moving, and ending somewhere else.
Whatever it means. I see that there are no unit fractions below 0 and many above 0. Therefore NUF increases. At no point it can increase by more than 1.
Even if most mathematicians are far too stupid to understand this, I will repeat it on and on, maybe that sometime some will get it.
Regards, WM

Date Sujet#  Auteur
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