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From: FromTheRafters <FTR@nomail.afraid.org>
Newsgroups: sci.math
Subject: Re: =?ISO-8859-15?Q?There_is_a_first/smallest_integer_(in_M=FCcke?=
	=?ISO-8859-15?Q?nland)?=
Date: Wed, 17 Jul 2024 13:13:09 -0400
Organization: Peripheral Visions
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References: <v78aei$1qhrg$2@dont-email.me> <v78ho8$1rucd$1@dont-email.me> <hkTLLEKjGrtEv-QUxN7BX0GQq58@jntp>
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WM presented the following explanation :
> Le 17/07/2024 à 15:42, FromTheRafters a écrit :
>> Moebius presented the following explanation :
>>> WM> All unit fractions are separated. Therefore there is a first one
>>>
>>> Moebius> All integers are separated. Therefore there is a first one [?]
>>>
>>> WM> This is true but difficult to understand.
>> 
>> Perhaps, with professional counseling,
>
> you could explain how NUF(x) can increase from 0 to many more in one point 
> although all unit fractions are separated by finite distances?

Sure, it jumps because of your stepwise function.