Sujet : Re: How many different unit fractions are lessorequal than all unit fractions?
De : richard (at) *nospam* damon-family.org (Richard Damon)
Groupes : sci.mathDate : 07. Sep 2024, 03:01:21
Autres entêtes
Organisation : i2pn2 (i2pn.org)
Message-ID : <487d2e1b7688ce95cd8bb32059579bc39400edb9@i2pn2.org>
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On 9/6/24 8:24 AM, WM wrote:
On 06.09.2024 00:50, Moebius wrote:
On the other hand, since NUF is constant on (0, oo)
NUF(0) = 0.
NUF(x) grows in the positive real numbers.
It cannot grow by more than 1 at any real number.
Regards, WM
And thus grows to infinity in the sub-finite values between 0 and the positive real numbers.
It can not be defined otherwise.
So, there isn't a smallest unit fraction, but only a smallest sub-finite unit fraction that is the reciprical of some post-finite value which is above all the infinite number of finite natural numbers.