Re: How many different unit fractions are lessorequal than all unit fractions?

Chris M. Thomasson brought next idea :

On 9/7/2024 12:01 PM, Jim Burns wrote:

On 9/7/2024 7:02 AM, WM wrote:

On 07.09.2024 01:51, Jim Burns wrote:

On 9/6/2024 4:52 PM, WM wrote:

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Between 0 and your defined x or epsilon,
not between 0 and every possible x.

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If x > 0  then there is ⅟⌊1+⅟x⌋  between 0 and x

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...strictly between.
x  >  ⅟⌊1+⅟x⌋  >  0
>

Then identical unit fractions differ.

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Identical unit fractions are identical.
Different unit fractions are different.
In other news,
triangles have three sides.

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;^D

 But they are not always obvious.