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Is there a standard notation for the set of integers which are greater than or equal to a fixed integer $m$?

user84413
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    Maybe this one $\mathbb Z_{\geqslant m}$? – CIJ Oct 12 '15 at 18:02
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    $\mathbb{Z}{\ge m}$ 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
  • $\mathbb{Z}\setminus I_{m-1}$? – L F Oct 12 '15 at 18:03
  • @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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    @A.P. Really? it comes from Elon Lages Lima, real analysis book's. $I_m:={n\in\mathbb{N}:n\leq m}$ – L F Oct 12 '15 at 18:18
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    @LuisFelipe: Isn't $\mathbb{Z} \setminus I_{m - 1} = \mathbb{Z}{≥m} ∪ \mathbb{Z}{<0}$? – user87690 Oct 13 '15 at 14:41
  • @user87690 I can not edit my first post. It must say: $\mathbb{Z}^+\setminus I_{m-1}$ – L F Oct 13 '15 at 14:57

1 Answers1

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Collecting all comments together (to push it out of unanswered queue):

  1. $\Bbb Z_{\ge m}$
  2. $\Bbb Z^+ \text\I_{m-1}$, where $I_m:=\{n\in\Bbb N: n\le m\}$, from Real Analysis by Elon Lages Lima.

Quoting following similar questions (on $\Bbb R$):

  1. How does one denote the set of all positive real numbers?
  2. Correct notation for “for all positive real $c$”
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Jesse P Francis
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