diff --git a/Euler/Euler-theory.tex b/Euler/Euler-theory.tex
index 88bad40..b069abe 100644
--- a/Euler/Euler-theory.tex
+++ b/Euler/Euler-theory.tex
@@ -325,10 +325,10 @@ \section{Euler equation properties}
 characteristic form of the equations says that each of the waves will
 carry its respective jump, $\Delta \wb$.  Since $d\qb = \Lb^{-1}d\wb = \Rb d\wb$,
 the jump in the primitive variable across each wave is proportional to
-the right-eigenvector associated with that wave.  So, for example,
+the right eigenvector associated with that wave.  So, for example,
 since $\rb^\evz$ is only non-zero for the density element (see
 Eq.~\ref{eq:euler:primRevs}), this then means that only density jumps
-across the $\lambda^\evz = u$ wave---pressure and velocity are
+across the $\lambda^\evz = u$ wave, while pressure and velocity are
 constant across this wave (see for example, Toro~\cite{toro:1997},
 Ch.\ 2, 3 or LeVeque~\cite{leveque:2002} for a thorough discussion).
 
diff --git a/pyro/pyro.tex b/pyro/pyro.tex
index 11e92eb..c1b6040 100644
--- a/pyro/pyro.tex
+++ b/pyro/pyro.tex
@@ -89,8 +89,8 @@ \section{\pyro 's structure}
 \url{http://python-hydro.github.io/pyro2/}, and described
 in \cite{pyro}.  Here we provide a summary.
 
-The grid structure is managed by the {\tt patch.Grid2d} class.  Data
-is that lives on the grid is contained in a {\tt
+The grid structure is managed by the {\tt patch.Grid2d} class. The data
+that lives on the grid is contained in a {\tt
   patch.CellCenterData2d} object.  Methods are available to provide
 access to the data and fill the ghost cells.  When accessing the data
 on the grid, a {\tt array\_indexer.ArrayIndexer} object is returned.