deletions | additions       diff --git a/Complexity analysis.tex b/Complexity analysis.tex  index ce2c388..f41bc6b 100644  --- a/Complexity analysis.tex  +++ b/Complexity analysis.tex 
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These summation laws/formulas are used frequently.  They are very common and thus we won't prove any of them.  Most of them can be found here: \href{http://en.wikipedia.org/wiki/Summation}{linktext} \href{http://en.wikipedia.org/wiki/Summation}{here}  \begin{enumerate}  \item $\displaystyle\sum_{n=s}^t C\cdot f(n) = C\cdot \sum_{n=s}^t f(n)$  \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}