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What is the better representation for natural numbers $x$ less equal a number $n>0$ in a scientific paper?

  1. $x \in \textbf{N}_{\le n}$ or
  2. $x \in \{1, \ldots, n\}$ or
  3. $0 \lt x \le n$?
CLRW97
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1 Answers1

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I've never seen the first one, but I'm sure someone has used it. The other two are definitely used. Conventions vary from one field to the next. The kind I would personally use is:

$$x\in[n].$$

Boshu
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  • Thank you. I'll definitely consider your suggestion. I don't remember where, but years ago I've seen the first one somewhere. – CLRW97 Dec 09 '22 at 09:46
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    Yeah this is good but sometimes $x∈[n]$ could be also interpreted as $0\le x<n$ instead of $0<x\le n$. Go for the one you like the most, but remember to define it explicitely because it is not a standard notation – alvoi Dec 09 '22 at 09:52