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Chris M. Thomasson presented the following explanation :Well, I was thinking of p0 and p1 being 3-ary vectors in my example. Three components, x, y and z.On 10/18/2024 1:55 PM, FromTheRafters wrote:For some value of 'different'.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.
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Say:
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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)
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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.
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if p0 and p1 are different in my example then pdif will not be all components zero.
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).
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