Art of Problem Solving

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

Nang13 (talk | contribs)
Created page with "putangina"
 
Chipdink1969 (talk | contribs)
mNo edit summary
 
(6 intermediate revisions by the same user not shown)
Line 1: Line 1:
putangina
<cmath>
\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*}|
</cmath>

Latest revision as of 19:04, 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*}|