Symbols:R

The Set of Real Numbers

 * $\R$

The set of real numbers.

$\LaTeX$ also allows, but  does not recognise that as a valid code.

Some authors use $R$.

The Set of Non-Zero Real Numbers

 * $\R_{\ne 0}$

The set of non-zero real numbers:
 * $\R_{\ne 0} = \R \setminus \left\{{0}\right\}$

$\LaTeX$ also allows, but  does not recognise that as a valid code.

Deprecated

 * $\R^*$

The set of non-zero real numbers:
 * $\R^* = \R \setminus \left\{{0}\right\}$

$\LaTeX$ also allows, but  does not recognise that as a valid code.

The Set of Non-Negative Real Numbers

 * $\R_{\ge 0}$

The set of non-negative real numbers:
 * $\R_{\ge 0} = \left\{{x \in \R: x \ge 0}\right\}$

$\LaTeX$ also allows, but  does not recognise that as a valid code.

Deprecated

 * $\R_+$

The set of non-negative real numbers:
 * $\R_+ = \left\{{x \in \R: x \ge 0}\right\}$

$\LaTeX$ also allows, but  does not recognise that as a valid code.

The Set of Strictly Positive Real Numbers

 * $\R_{> 0}$

The set of strictly positive real numbers:
 * $\R_{> 0} = \left\{{x \in \R: x > 0}\right\}$

$\LaTeX$ also allows, but  does not recognise that as a valid code.

Deprecated

 * $\R_+^*$

The set of strictly positive real numbers:
 * $\R_+^* = \left\{{x \in \R: x > 0}\right\}$

$\LaTeX$ also allows, but  does not recognise that as a valid code.

The Set of Extended Real Numbers

 * $\overline \R$

The extended set of real numbers:


 * $\overline \R = \R \cup \left\{{+\infty, -\infty}\right\}$

$\LaTeX$ also allows, but  does not recognise that as a valid code.

Real Part

 * $\Re \left({z}\right)$ or $\operatorname{Re} \left({z}\right)$

The real part of a complex number $z$.

Variants
Variants of $\operatorname{Re} \left({z}\right)$ and $\Re \left({z}\right)$ that can often be found are:


 * $\operatorname{\mathscr R} \left({z}\right)$
 * $\operatorname{re} \left({z}\right)$