deletions | additions       diff --git a/untitled.tex b/untitled.tex  index 84f3e43..f69d37a 100644  --- a/untitled.tex  +++ b/untitled.tex 
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\begin{equation}  A_i^* + \sum_{j} \beta_{ij} A_j* - \frac{\alpha^{AP}}{\lambda_i^q} \sum_{j<=i} (\alpha^{AP} A_j^* + K_p ) = K_a \nonumber  \end{equation} \begin{eqnarray}  A_i^* + \sum_{j} \beta_{ij} A_j* - \frac{\alpha^{PA}}{\lambda_i^q} \sum_{j<=i} (\alpha^{AP} A_j^* + K_p ) = K_a \nonumber \\  A_i^* + \sum_{j} \beta_{ij} A_j* - (\frac{\alpha^{PA} \alpha_{AP}}{\lambda_i^q} \sum_{j<=i} \alpha^{AP} A_j^*) - \frac{\alpha^{PA}}{\lambda_i^q} \sum_{j<=i} K_p = K_a   \end{eqnarray} \begin{equation}  \label{denklem5}  \end{equation}