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From: joes <noreply@example.org>
Newsgroups: sci.math
Subject: Re: How many different unit fractions are lessorequal than all unit
 fractions?
Date: Fri, 6 Sep 2024 12:26:21 -0000 (UTC)
Organization: i2pn2 (i2pn.org)
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Am Fri, 06 Sep 2024 14:22:00 +0200 schrieb WM:
> 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.
What exactly happens at those points?

-- 
Am Sat, 20 Jul 2024 12:35:31 +0000 schrieb WM in sci.math:
It is not guaranteed that n+1 exists for every n.