this is for holding javascript data
Mazdak Farrokhzad edited Complexity analysis.tex
over 10 years ago
Commit id: f885265fadca2a2bd5505947209d7d56294d7064
deletions | additions
diff --git a/Complexity analysis.tex b/Complexity analysis.tex
index f41bc6b..08de301 100644
--- a/Complexity analysis.tex
+++ b/Complexity analysis.tex
...
\begin{enumerate}
\item $\displaystyle\sum_{n=s}^t C\cdot f(n) = C\cdot \sum_{n=s}^t f(n)$
\item $\displaystyle\sum_{n=s}^t f(n) + \sum_{n=s}^{t} g(n) = \sum_{n=s}^t \left[f(n) + g(n)\right]$
\item $\displaystyle\sum_{n=s}^t f(n) + \sum_{n=s}^{t} g(n) = \sum_{n=s}^t \left[f(n) + g(n)\right]$
\item $\displaystyle\sum_{i=m}^n 1 = n+1-m$
\item $\displaystyle\sum_{i=m}^n i = \frac{n(n+1)}{2} - \frac{m(m-1)}{2} = \frac{(n+1-m)(n+m)}{2}$
\end{enumerate}