updates

1 files changed, 0 insertions, 28 deletions

diff --git a/paper.tex b/paper.tex
index 76d07fd..1eac710 100644
--- a/paper.tex
+++ b/paper.tex
@@ -437,34 +437,6 @@ of Engineering Science and Mechanics
 %\end{singlespace}
 
 \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}