Complex modulus
= Complex modulus
{title2=$|z|$}
= Modulus of a complex number
{synonym}
The <complex modulus> of $z=x+iy$ is $|z|=\sqrt{x^2+y^2}=\sqrt{z\overline z}$. It is the <Euclidean norm> of $(x,y)$ in the <complex plane>, and satisfies $|zw|=|z||w|$ and the <triangle inequality>.