User:Temperal/The Problem Solver's Resource Competition: Difference between revisions
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<cmath> | <cmath> | ||
\begin{align*} | \begin{align*} | ||
|\langle (z,i), (i,w)\rangle| &\leq ||(z,i)||||(i,w)|| \\ | |\langle (z,-i), (i,\overline{w})\rangle| &\leq ||(z,i)||||(i,w)|| \\ | ||
|iz | |-iz - i\overline{w}|^2 &\leq (|z|^2 + 1)(|w|^2 + 1) \\ | ||
\frac{|z + w|^2}{|z|^2 + 1} &\leq |w|^2 + 1 | \frac{|z + \overline{w}|^2}{|z|^2 + 1} &\leq |w|^2 + 1 | ||
\end{align*}| | \end{align*}| | ||
</cmath> | </cmath> | ||
Revision as of 13:41, 8 October 2024