Difference between revisions of "User:Temperal/The Problem Solver's Resource Competition"

m
 
(One intermediate revision by the same user not shown)
Line 1: Line 1:
 
<cmath>
 
<cmath>
 
\begin{align*}
 
\begin{align*}
     |\langle (z,-i), (i,\overline{w})\rangle| &\leq ||(z,-i)||||(i,\overline{w})|| \\
+
     |\langle (z,1), (1,\overline{w})\rangle| &\leq ||(z,1)||||(1,\overline{w})|| \\
     |-iz - iw|^2 &\leq (|z|^2 + 1)(|w|^2 + 1) \\
+
     |z + w|^2 &\leq (|z|^2 + 1)(|w|^2 + 1) \\
 
     \frac{|z + w|^2}{|z|^2 + 1} &\leq |w|^2 + 1
 
     \frac{|z + w|^2}{|z|^2 + 1} &\leq |w|^2 + 1
 
\end{align*}|
 
\end{align*}|
 
</cmath>
 
</cmath>

Latest revision as of 20:04, 21 August 2025

\begin{align*}     |\langle (z,1), (1,\overline{w})\rangle| &\leq ||(z,1)||||(1,\overline{w})|| \\     |z + w|^2 &\leq (|z|^2 + 1)(|w|^2 + 1) \\     \frac{|z + w|^2}{|z|^2 + 1} &\leq |w|^2 + 1 \end{align*}|