# Symbol for $\left\{ x \in \mathbb{R} : x > 0 \right\}$ [duplicate]

Is there a symbol for the following set?

$$\left\{ x \in \mathbb{R} : x > 0 \right\}$$

• How about $(0,\infty)$ ? Commented Apr 9, 2014 at 1:49
• How about $\mathbb{R}^{>0} ?$
– user139708
Commented Apr 9, 2014 at 1:50
• Unfortunately, there aren't any standard notations for denoting $\{x \in \mathbb{R} : x > 0\}$ that don't presuppose the existence of $\mathbb{R}$. Which is a real shame, since this number system is nice enough that it deserves to stand on its own. Commented Apr 9, 2014 at 1:57
• Duplicate of How does one denote the set of all positive real numbers? Apropos of most of the answers, see also Does set $\mathbb R^+$ include zero?
– user856
Commented Apr 9, 2014 at 1:59

Generally, $\mathbb{R}^+$ is used to denote the positive reals.
I would use $\mathbb R^+$ though some authors use this symbol for $\{x\in\mathbb R: x\geq 0\}$.
I have seen people using $$\mathbb{R}_{>0},(0,\infty)\text{ and also }\mathbb{R}^+$$