Sujet : Re: How many different unit fractions are lessorequal than all unit fractions?
De : wolfgang.mueckenheim (at) *nospam* tha.de (WM)
Groupes : sci.mathDate : 12. Sep 2024, 12:18:30
Autres entêtes
Organisation : Nemoweb
Message-ID : <Iz5zSuCuwslwe6r8CqsrwF8fszk@jntp>
References : 1 2 3 4 5 6 7 8 9 10
User-Agent : Nemo/1.0
Le 12/09/2024 à 03:00, Richard Damon a écrit :
So, you can't "index" an unbounded set of unit fractions from 0, as there isn't a "first" unit fraction from that end.
We can "address" those unit fractions with the value, but we can not "index" them from 0, only from 1/1.
If you can index all unit fractions, then you can index them from every side.
Fact is that NUF(x) increases from 0, but at no point it can inc4rease by more than 1 because of
∀n ∈ ℕ: 1/n - 1/(n+1) > 0 Regards, WM