Interval $[0,n]$ behaves quite differently to $[1,n]$ if values are used in multiplication, e.g. for scaling other values. Is there a formal terminology to distinguish those?
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What do you mean by "quite differently"? – Henrik supports the community Aug 30 '16 at 21:44
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@Henrik $[1,n]$ is guaranteed to always scale up, while $[0,n]$ can scale up or down (sorry if my terminology is off here). – Andrey Shchekin Aug 30 '16 at 21:46
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3That's a very minor difference, and only correct for positive numbers. I've never heard of any term for that, and don't see any use for it. – Henrik supports the community Aug 30 '16 at 21:47
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(I'm assuming in both cases you are talking about real number intervals.)
No, there isn't any official term. You could say one is a closed interval containing $0$ and one is a closed interval not containing $0$.
However, I'm not sure exactly what property that differs between those two intervals you are looking for a term for.
Caleb Stanford
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