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\section{Abstract}  Likewise we define the ``mixed formulation'' which is truly the absolute formulation.  \begin{equation}  I_a=\sum_i \gamma_i k_{abs}=\sum_i\gamma_i\frac{d}{dt}[\ln S_i(t)]  \end{equation}  With these definitions in place the picture would be completed with one final formulation the all S formulation $k_S$ and an associated $I_s$.  \begin{equation}  I_s=\sum_i S_ik_{abs}=\sum_i S_i\frac{d}{dt}[\ln S_i(t)]  \end{equation}