diff --git a/src/1_complex_numbers.md b/src/1_complex_numbers.md index d9041e80d0e82789a8a2cc1e0c1e4e13948537bf..0a6be97023135a8a25d6709363d57ccdde7be604 100644 --- a/src/1_complex_numbers.md +++ b/src/1_complex_numbers.md @@ -124,8 +124,8 @@ $$\varphi = \begin{cases} \arctan(b/a) &{\rm for ~} a>0; \\ When increasing $\varphi$ with $2 \pi$, we make a full circle and reach the same point on the complex plane. In other words, when adding $2 \pi$ to our argument, we get the same complex number! As a result, the argument $\varphi$ is defined up to $2 \pi$, and we are free to make any choice we like: $$\begin{align} --\pi < \varphi < \pi $ {\rm (left image)} \\ --\frac{\pi}{2} < \varphi < \frac{3 \pi}{2} $ {\rm (right image)} \end{align} $$ +-\pi < \varphi < \pi {\rm (left image)} \\ +-\frac{\pi}{2} < \varphi < \frac{3 \pi}{2} {\rm (right image)} \end{align} $$ 