User:Temperal/The Problem Solver's Resource Competition

\begin{align*}

   |\langle (z,i), (i,w)\rangle| &\leq ||(z,i)||||(i,w)|| \\
   |iz + iw|^2 &\leq (|z|^2 + 1)(|w|^2 + 1) \\
   \frac{|z + w|^2}{|z|^2 + 1} &\leq |w|^2 + 1

\end{align*}|