\begin{table}%t2[t!]
     \caption{Simulation of the effect of the presence of primordial binaries on a sample of dynamically formed binaries. We have simulated two distributions containing a mixture of sources that obey the linear relationship given in Eq.~(\ref{eq2}) and a random number which simulates the primordial source number. We have searched for a power law relationship within this distribution.  Population 1 is a population where there is no dynamical destruction, while population~2 is a population where primordial binaries can be destroyed by dynamical interactions. The power law index is indicated in this table together with its error (errors are quoted at the 1$\sigma$ level). The Gaussian parameters (in unit of sources) are the parameters of the distribution of the random number simulating the primordial binary number.}
         \label{table_simu}
     $$ 
         \begin{tabular}{cccc}
            \hline\hline
            \noalign{\smallskip}
            Gaussian     &   Gaussian & Population 1&Population 2\\
	     mean  &   sigma & &\\
            \noalign{\smallskip}
            \hline
            \noalign{\smallskip}
         5  & 3 & 0.63 $\pm$ 0.10 & 0.72 $\pm$ 0.10\\
        10  & 3 & 0.48 $\pm$ 0.06 & 0.50 $\pm$ 0.06\\
         5  & 5 & 0.64 $\pm$ 0.12 & 0.70 $\pm$ 0.13\\
	10  & 5 & 0.49 $\pm$ 0.09 & 0.51 $\pm$ 0.09\\
	20  & 10& 0.36 $\pm$ 0.10 & 0.29 $\pm$ 0.10\\
            \noalign{\smallskip}
            \hline
         \end{tabular}
     $$ 
   \end{table}