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I was also a bit confused by this. I thought the standard notation was round brackets, but maybe doesn't work well in ASCII?
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Round brackets are standard in the US but that notation is used in France and some other places.
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  (0, 1)
Is this an twice-open interval or a 2D vector?

See, this is why Bourbaki introduced the ]0,1[ notation.

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Is there any reasonable situation where you'd be confusing a vector with an interval? Having done mathematical writing and grading of tests using both styles of notation (simply adapting to what was used at the institution), I can't say that I ever noticed any practical difference between them.
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From reading the linked paper[0], It explains closed interval only. "An interval union is a set of closed and disjoint intervals where the bounds of the extreme interval can be ±∞".

[0]: https://www.ime.usp.br/~montanhe/unions.pdf

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It's possible to support that but it makes the code very very much more complicated. I've decided early on to not support it. Would be a cool addition though!
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