Changes

main.tex

@@ -53,10 +53,11 @@
 \begin{document}
 \maketitle
 \VerbatimFootnotes
-\section*{Why should I read this guide?}
-Let us define: $d$ is the data vector and $s$ is the physical field, you want to
-learn from $d$ in a Bayesian fashion.
 
+$d$ is the data vector and $s$ is the physical field about which one wants to
+learn something given the data $d$ in a Bayesian fashion.
+
+\section*{Why should I read this guide?}
 Bayesian reconstruction algorithms may be viewed in terms of three basic
 building blocks.
 
@@ -97,7 +98,7 @@ in a fashion which is compatible with our inference machinery called NIFTy.
   temperature, flux, etc.) which are defined on a continuous space (like time,
   space, frequency/energy of electromagnetic radiation). If you've got data,
   which tells you something about such a field, keep on reading. If not, you may
-  use IFT and NIFTy as well but perhaps there are other methods available which
+  use IFT and NIFTy as well, but there may be other methods available which
   fit your needs better.
 \item The explanations below shall be pretty general in order to be applicable
   to a variety of problems. Therefore, the text might be difficult to understand
@@ -107,7 +108,7 @@ in a fashion which is compatible with our inference machinery called NIFTy.
   just the function itself. Then only \texttt{R(s)} and \texttt{R\_adjoint(d)}
   need to be implemented. You do not need to understand what I'm saying already
   at this point. Just feel lucky and relax. You may relax anyways.
-\item Read the full guide before you start to implement something.
+\item Read the full guide before you start implementing something.
 \end{itemize}
 
 \section*{Mathematical description of what NIFTy needs}