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

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    $\begingroup$ Maybe this one $\mathbb Z_{\geqslant m}$? $\endgroup$
    – CIJ
    Oct 12, 2015 at 18:02
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    $\begingroup$ $\mathbb{Z}_{\ge m}$ 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 $\mathbb{Z}_{\ge m} = \{n\in\mathbb{Z}:n\ge m\}$". $\endgroup$
    – BrianO
    Oct 12, 2015 at 18:03
  • $\begingroup$ $\mathbb{Z}\setminus I_{m-1}$? $\endgroup$
    – L F
    Oct 12, 2015 at 18:03
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    $\begingroup$ @A.P. Really? it comes from Elon Lages Lima, real analysis book's. $I_m:=\{n\in\mathbb{N}:n\leq m\}$ $\endgroup$
    – L F
    Oct 12, 2015 at 18:18
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    $\begingroup$ @LuisFelipe: Isn't $\mathbb{Z} \setminus I_{m - 1} = \mathbb{Z}_{≥m} ∪ \mathbb{Z}_{<0}$? $\endgroup$
    – user87690
    Oct 13, 2015 at 14:41

1 Answer 1

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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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