Is there a standard notation for the set of integers which are greater than or equal to a fixed integer $m$?
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5Maybe this one $\mathbb Z_{\geqslant m}$? – CIJ Oct 12 '15 at 18:02
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1$\mathbb{Z}{\ge m}$ works. Probably you'll be using a lot, and that's why you ask, For good measure, define it once then use it freely. "I'll use the abbreviation $\mathbb{Z}{\ge m} = {n\in\mathbb{Z}:n\ge m}$". – BrianO Oct 12 '15 at 18:03
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$\mathbb{Z}\setminus I_{m-1}$? – luisfelipe18 Oct 12 '15 at 18:03
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@LuisFelipe Where does the notation $I_{m-1}$ come from? I've never seen it before... – A.P. Oct 12 '15 at 18:14
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1@A.P. Really? it comes from Elon Lages Lima, real analysis book's. $I_m:={n\in\mathbb{N}:n\leq m}$ – luisfelipe18 Oct 12 '15 at 18:18
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1@LuisFelipe: Isn't $\mathbb{Z} \setminus I_{m - 1} = \mathbb{Z}{≥m} ∪ \mathbb{Z}{<0}$? – Adam Bartoš Oct 13 '15 at 14:41
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@user87690 I can not edit my first post. It must say: $\mathbb{Z}^+\setminus I_{m-1}$ – luisfelipe18 Oct 13 '15 at 14:57
1 Answers
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Collecting all comments together (to push it out of unanswered queue):
- $\Bbb Z_{\ge m}$
- $\Bbb Z^+ \text\I_{m-1}$, where $I_m:=\{n\in\Bbb N: n\le m\}$, from Real Analysis by Elon Lages Lima.
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