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Mazdak Farrokhzad renamed laws-summation.tex to laws summation.tex
about 10 years ago
Commit id: d247287832b63f7858b95668feaaeea99c296dfc
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\subsection{Laws and forumulas of summation}
These summation laws/formulas are used.
They are very common and thus we won't prove any of them.
Most of them can be found \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 $\displaystyle\sum_{n=s}^t f(n) + \sum_{n=s}^{t} g(n) = \sum_{n=s}^t \left[f(n) + g(n)\right]$
\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 $\displaystyle\sum_{i=m}^n 1 = n - m + 1$
\end{enumerate}
