7
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What is the best way to denote it?

  1. $\forall i\in\{1,\dots,n\}: P(i)$;
  2. $\forall i=1,\dots,n: P(i)$;
  3. $\forall i=\overline{1,n}: P(i)$;
  4. $P(i)$ for $i=1,\dots,n$;
  5. ...
  • 3
    I find it strange that there is no uniform notation for this common set. Another notation I have seen is $\underline{n}$.2012-09-11
  • 3
    I have also seen $[1,n]$ on this site and $[n]$ elsewhere.2012-09-11
  • 0
    Dem'yanov & Malozemov use $[1:n]$ in "Introduction to minimax".2012-09-11
  • 0
    I use $(\forall i\in \mathbb{N}_n)(P(i))$. However in your notations, 1 and 4 are the best. 2,3 are not acceptable.2013-02-12

2 Answers 2