Definition:Positive/Real Number

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Definition

The positive real numbers are the set:

$\R_{\ge 0} = \left\{{x \in \R: x \ge 0}\right\}$

That is, all the real numbers that are greater than or equal to zero.


Thus, in Wirth interval notation:

$\R_{\ge 0} = \left[{0 \,.\,.\, \to}\right)$


Also known as

In order to remove all confusion as to whether positive real number is intended to mean strictly positive real number, the use of the term non-negative real number is often recommended instead.


The $\mathsf{Pr} \infty \mathsf{fWiki}$-specific notation $\R_{\ge 0}$ is actually non-standard. The conventional symbols to denote this concept are $\R_+$ and $\R^+$, but these can be confused with the set $\left\{{x \in \R: x > 0}\right\}$.


Sources