Tag complex

Triangle Inequality for Complex Numbers

$| | z_{1} | - | z_{2} | | \leq | z_{1} + z_{2} | \leq | z_{1} | + | z_{2} |$ The second inequality follows from the triangle...

Posted by Beetle B. on Mon 25 October 2021

$z^{n} + {\overset{―}{z}}^{n}$

$z^{n} + {\overset{―}{z}}^{n}$ is a real number for all positive $n$ . Proof 1 Treat $z = r e^{i θ}$ and you can show that the sum...

Posted by Beetle B. on Sun 24 October 2021