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

Chris M. Thomasson presented the following explanation :

On 10/18/2024 1:55 PM, FromTheRafters wrote:

Jim Burns brought next idea :

On 10/18/2024 2:13 PM, Chris M. Thomasson wrote:

On 9/16/2024 2:38 PM, Jim Burns wrote:

On 9/16/2024 4:15 PM, Chris M. Thomasson wrote:

>

WM is a strange one.
If no point is between them,
then they are the same.

>
If no point is between different points,
then the points aren't in the complete line.

>
If p0 and p1 are the same point then p1 - p0 is zero.
>
Say:
>
p0 = (1, 2, 3)
p1 = (1, 2, 3)
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pdif = p1 - p0
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pdif would be (0, 0, 0)
>
See?

>
I wouldn't choose to say that 0 is between 0 and 0
If necessary,
I would correct what I'd said so that
it could not be taken to mean that.

 Yeah, you said different as opposed to unique. I simply took it to mean not the same point.

[...]
>
if p0 and p1 are different in my example then pdif will not be all components zero.

For some value of 'different'.
 This is a dot . this is a different dot . but neither dot is unique. Two different elements from a multiset,each might not be unique (both dots) but may be distinct (rightmost dot, leftmost dot).