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Subject: Re: There is a first/smallest integer (in =?UTF-8?Q?M=C3=BCckenland=29?=
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Date: Thu, 18 Jul 24 13:41:32 +0000
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From: WM <wolfgang.mueckenheim@tha.de>
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Le 18/07/2024 à 08:09, Moebius a écrit :
> Am 17.07.2024 um 23:20 schrieb WM:
> 
>> The question is: How does NUF(x) [jump] from 0 to more? There is a 
>> point [namely x = 0] where NUF(x) is 0 and then it [jumps]. How?
> 
> Hint:   NUF(x) := |{u e {1/n : n e IN} : u <= x}| (x e IR) .
> 
> Hence
>          NUF(x) = 0   for all x e IR, x <= 0
> and
>          NUF(x) = aleph_0   for all x e IR, x > 0 .
> 
> 
> That's "how"

Not if all unit fractions have distances. Do you despise basic 
mathematics?

Regards, WM