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@@ -438,6 +438,33 @@ of Engineering Science and Mechanics \backmatter +\newpage +\begin{align*} + B(n) &\in \Theta(n \log n) \\ + \mathscr{Q}_S(n) &\in \Theta(\log n + k) +\end{align*} + +\begin{align} +I(n) \in \Theta\left(B\left(\frac{n}{2}\right)\right) \\ +I(n) \in \Theta(n \log n) +\end{align} + +\begin{equation} +\mathscr{Q}(n) = \mathscr{Q}_S\left(\frac{n}{2}\right) + \mathscr{Q}_S\left(\frac{n}{2}\right) +\end{equation} + +\begin{equation} +\mathscr{Q}(n) \in \Theta\left(\log^2n + k\log n\right) +\end{equation} + + + + + +\begin{align*} +I_A(n) \in \Theta \left(\frac{B(n)}{n}\cdot \log n\right) \\ +\mathscr{Q}(n) \in O \left(\mathscr{Q}_S(n) \cdot \log n\right) +\end{align*} %Vita \vita{chapters/vita} |