Complex Modulus

#Math
Gives the magnitude of a complex number in a $\displaystyle \mathbb{C}$ plane

$\displaystyle \lvert z\rvert=z\bar{z}$

• $\displaystyle \bar{z}$ is the complex conjugate of $\displaystyle z$

$\displaystyle \lvert z_{1}+z_{2}\rvert^{2}=\lvert z_{1}\rvert^{2}+\lvert z_{2}\rvert^{2}+2\lvert z_{1}\rvert\lvert z_{2}\rvert\cos({\theta}{1}-{\theta}{2})$

• Distributive property