deletions | additions       diff --git a/begin_equation_rho_S_p_t__.tex b/begin_equation_rho_S_p_t__.tex  index ddd8dd0..f282ce0 100644  --- a/begin_equation_rho_S_p_t__.tex  +++ b/begin_equation_rho_S_p_t__.tex 
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\begin{equation}  \rho_S(p,t^+) = \rho_S(p,t^-) (p > p_t^*)  = 0 (p \leq p_t^*)  \rho_D(p,t^+) &= &\rho_D(p,t^-) (p < p_t^*)  =0 (p \geq p_t^*).  \end{equation}     
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