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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: Fri, 18 Oct 2024 14:01:26 -0700
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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)
>>>
>>> pdif = p1 - p0
>>>
>>> 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.