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From: WM <wolfgang.mueckenheim@tha.de>
Newsgroups: sci.math
Subject: Re: How many different unit fractions are lessorequal than all unit
 fractions?
Date: Fri, 6 Sep 2024 14:22:00 +0200
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On 06.09.2024 00:36, Python wrote:
> Le 05/09/2024 à 22:44, crank Wolfgang Mückenheim, aka WM a écrit :

>>
>> You are mistaken. I do not conclude the latter from the former. I 
>> conclude the latter from the fact that NUF(0) = 0 and NUF(x>0) > 0 and 
>> never, at no x, NUF can increase by more than 1.
> 
> What the Hell could mean "to increase at an x" ?

Example: The function f(x) = [x] increases at every x ∈ ℕ by 1.
The function NUF(x) increases at every x = unit fraction 1/n by 1.
It does not increase at 0 because 0 is not a unit fraction.

Regards, WM