Skip to content
Snippets Groups Projects
Commit b100c90e authored by Timo1104's avatar Timo1104
Browse files

Minor equation fix

parent dd66c9c3
No related branches found
No related tags found
1 merge request!2Add lecture on complex numbers properly
Pipeline #41247 passed
......@@ -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} $$
-\pi < \varphi < \pi {\rm (left image)} \\
-\frac{\pi}{2} < \varphi < \frac{3 \pi}{2} {\rm (right image)} \end{align} $$
![image](figures/complex_numbers_11_0.svg)
......
0% Loading or .
You are about to add 0 people to the discussion. Proceed with caution.
Finish editing this message first!
Please register or to comment