Where is the function reference?

Dec 2006
170
3
Anyone knows what's the name of the function $H(x,x_0) = \begin{cases} 1& x\ge x_0,\\ 0& x< x_0.\end{cases}$,
and where is the online reference of it?

Thanks
 

romsek

Math Team
Sep 2015
2,958
1,673
USA
That's usually referred to as the unit step function although it's usually written as

$U(x) = \begin{cases}0&x<0\\1&0 \leq x\end{cases}$

and you get it "turning on" at $x_0$ by using $U(x-x_0)$