This refers to the _sign_ of a real number, $+$ or $-,$ and this itself can also be defined as the [Function](Analysis%20(index).md#Functions) $\mathrm{sgn}(x)=\begin{cases} -1,& x<0\\ 0,& x=0\\ 1,& x>0 \end{cases}$ In terms of the [[Heaviside function]] the signum is $\mathrm{sgn}(x) = 2\Theta(x)-1$ ![](Pasted%20image%2020201014163025.png) #MathematicalFoundations/Numbers #MathematicalFoundations/Analysis