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Mazdak Farrokhzad edited stuff.tex
about 10 years ago
Commit id: 2c3df832135b70134fcbfd8b9b771f48c3c42b36
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We know that $H_x$ oscillates around $ln(x)$, and that $H_x \in \mathcal{O}(log(n))$\\
Thus \[T(n) \in \mathcal{O}(nlog(\sqrt{n}))\]
We use the logarithm identity $log_b(x^d) = dlog_b(x)$
\Leftrightarrow T(n) to simplify and yield:
\[T(n) \in \mathcal{O}(nlog(n))\]
\end{document}