deletions | additions       diff --git a/reconstructed_wedges.tex b/reconstructed_wedges.tex  index 2fe3ec2..8fe55ea 100644  --- a/reconstructed_wedges.tex  +++ b/reconstructed_wedges.tex 
...
We run MC-Markov chains when fitting the models to the data while varying $D_{\rm A}/r_{\rm s}$ and $1/H/r_{\rm s}$ with flat prior between [0.5,1.5] of their fiducial cosmology values. In addition we vary for each clustering wedge and amplitude parameter and three polynomial terms each, yielding 10 parameters in total (2+2+2X3). In the results presented here we marginalize over these last eight parameters. A full detailed description of the procedure is given in our previous analysis of the SDSS DR9 CMASS galaxies \citet{Kazin_2013} (see \S 5.3).   We first examine our results on the simulations. Figure (REFER) demonstrates results on simulations of the $\Delta z^{\rm choose}$ slice, which is chosen for ... reason ...   In Figure REF we present our results of $\alpha_{||}$, $\alpha_{\perp}$ modes and in Figure REF their uncertainties. Besides the 50\% priors on $\alpha_{||}$, $\alpha_{\perp}$ mentioned above, we also investigate flat priors on their combinatoins which we hereon perscribe as $\epsilon$ (\sim ($\sim  1/H/D_{\rm A}$) and $\alpha (\sim D_{\rm A}^2/H$). The resulting mock modes of $\alpha_{||}$, $\alpha_{\perp}$ obtained without using a prior on $\epsilon$ and $\alpha$ are displayed in Figure REF and their uncertianties in Figure REF. These clearly shows the limitation of constraining power of the WiggleZ volume. Similar results when using flat priors on $\epsilon$ of $15\%$ and $7\%$ are displayed in Figures REF. We clearly see that the results are both less biassed and yield tighter constraints when ruling out the parameter space, pointing out that our mechanism of reconstruction and fitting algorithm do not raise biases that are larger than the statistical uncertainties. ... a few words about $\alpha$ priors.... In the simulation we know the cosmology, but in order to   %Due to these limitations of the data to constrain the parameter space, here we present results both without (Figure REF) %and with (Figure REF) a top-hat prior of 15\% on $\epsilon$ ($\epsilon \sim 1/H/D_{\rm A}$).