deletions | additions       diff --git a/Initial Results.tex b/Initial Results.tex  index 1b35a97..0c216d3 100644  --- a/Initial Results.tex  +++ b/Initial Results.tex 
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\section{Results}  Contributions from each group will ideally include time evolutions of of...  \emph{Hydro quantities}  \begin{enumerate}  \item central density [g/cm$^{3}$], electron/lepton fraction, and entropy [$k_\mathrm{B}/\mathrm{baryon}$] 
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\item Mass accretion rate @ $500\,$km [g/s]  \item min/mean/max shock radius [cm]  \item low order shock deformations ($a_1/a_0$)  \item others.... more....  \end{enumerate}  \emph{Neutrino quantities}  \begin{enumerate}  \item $\nu_e$, $\bar{\nu}_e$, and $\nu_x$ luminosities @ $500\,$km [erg/s] (in lab frame [is this what we want...])  \item $\nu_e$, $\bar{\nu}_e$, and $\nu_x$ average energies @ $500\,$km [MeV] (in lab frame)  \item $\nu_e$, $\bar{\nu}_e$, and $\nu_x$ rms energies @ $500\,$km [MeV] (in lab frame)  \item $\nu_e$, $\bar{\nu}_e$, and $\nu_x$ neutrinosphere radius [cm] (define above)  \item Net heating ($\dot{Q}_\mathrm{heat}$ [erg/s] (please clearly state criteria for gain region above)  \item Gain radius [cm] (again, clearly define) 
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\item $\tau_\mathrm{advection} = M_\mathrm{gain}/\dot{M}$ [s]  \item $E_\mathrm{gain}$ [erg] (clearly define above)  \item $\tau_\mathrm{heat} = E_\mathm{gain}/\dot{Q}_\mathrm{heat}$ [s]  \item more...  \end{enumerate}  and (1D averaged) radial profiles at $t=0\,$ms, $t=10\,$ms, $t=50\,$ms, $t=100\,$ms, $t=200\,$ms, and $t=400\,$ms (perhaps to be revised later) of the following quantities  \begin{enumerate}  \item Density [g/cm$^3$], Ye, Entropy [k_\mathrm{B}/\mathrm{baryon}$], Temperature [MeV]  \item Total $\nu_e$, $\bar{\nu}_e$, and $\nu_x$ energy density [erg/cm$^3$] (in lab frame)  \item Total $\nu_e$, $\bar{\nu}_e$, and $\nu_x$ radial luminosity [erg/s] (in lab frame)  \item Matter energy source term ($d\epsilon/dt$) [erg/g/s]  \item Non-radial Kinetic Energy [erg]  \item more...  \end{enumerate}