deletions | additions       diff --git a/Introduction.tex b/Introduction.tex  index 4ca6171..cf82889 100644  --- a/Introduction.tex  +++ b/Introduction.tex 
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\tilde{\textbf{x}}^{t+1} & \mbox{{ with probability (1-$p_r$)},}  \end{array}\right.  \end{eqnarray}  where $\bar{A}^t$ stands for the average of the loudness considering all agents at iteration $t$. $t$, and $\epsilon\in[-1,1]$.  Finally, the new position of each agent is then computed as follows: \begin{eqnarray}  \label{e.position_bat}  \textbf{x}^{t+1} & = & \left\{ \begin{array}{ll} \tilde{\textbf{x}}^{t+1} & \mbox{{ if $f(\tilde{\textbf{x}}^{t+1}) $f(\tilde{\textbf{x}}^{t+1})  \\ \textbf{x}^{t+1} & \mbox{{ otherwise}.} otherwise}}  \end{array}\right.  \end{eqnarray}  where $\xi\sim{\cal U}(0,1)$.  \subsection{Firefly Algorithm}