Quite often, the set $\{0, …, n-1\}$ is denoted by $[n]$. Is there similarly a notion for the set $\{-n+1,…,n-1\}$ (other and shorter than $[n] ∪ -[n]$)?
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Of course, you can always invent your own notation. Why not just $\mathscr Z_n$ or some such? – MPW May 23 '18 at 12:50
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I ever saw $[n]:={1,2,\ldots,n}$ instead of your version starting with zero. The point is that the set $[n]$ had $n$ points, that is, a index set to count $n$ objects. – Masacroso May 23 '18 at 13:03
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Knowing I work only with integers, I like the open interval notation $(-n, n)$ or the french open interval notation $]-n, n[$. If context is unclear you can write $(-n, n) \cap \mathbb Z$.
Note that $[n]$ can be written $[0, n)$ in interval notation.
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