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From: "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com>
Newsgroups: sci.math
Subject: Re: How many different unit fractions are lessorequal than all unit
 fractions?
Date: Thu, 12 Sep 2024 13:36:08 -0700
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On 9/2/2024 10:07 AM, WM wrote:
> How many different unit fractions are lessorequal than all unit 
> fractions? The correct answer is: one unit fraction. If you claim more 
> than one (two or three or infintely many), then these more must be 
> equal. But different unit fractions are different and not equal to each 
> other.
> 
> Another answer is that no unit fraction is lessorequal than all unit 
> fractions. That means the function NUF(x)
> Number of UnitFractions between 0 and x > 0
> with NUF(0) = 0 will never increase but stay at 0. There are no unit 
> fractions existing at all.
> 
> Therefore there is only the one correct answer given above.
> 
> Regards, WM
> 

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https://youtu.be/ADRGgyhX4YE?t=43