Fix typos.

git-svn-id: https://svn.dealii.org/trunk@14615 0785d39b-7218-0410-832d-ea1e28bc413d

diff --git a/deal.II/examples/step-23/doc/intro.dox b/deal.II/examples/step-23/doc/intro.dox
index f55b08186bff52ba9d126385555c4874b76c78b5..6a2cac6a3adf44814fb8bc894880e34f14b51372 100644 (file)
--- a/deal.II/examples/step-23/doc/intro.dox
+++ b/deal.II/examples/step-23/doc/intro.dox
@@ -331,7 +331,7 @@ and integrating by parts where necessary, we find that
        \left[\frac 12 \int_\Omega \left(\frac{\partial u}{\partial
        t}\right)^2 + (\nabla u)^2 \; dx\right]
        =
-       \int_\Omega f \; dx
+       \int_\Omega f \frac{\partial u}{\partial t} \; dx
        +
        \int_{\partial\Omega} n\cdot\nabla u
        \frac{\partial g}{\partial t} \; dx.
@@ -383,8 +383,8 @@ to as the <i>CFL</i> condition. Intuitively, the CFL condition says
 that the time step must not be larger than the time it takes a wave to
 cross a single cell.
 
-In the program, we will refine a square
-$[-1,1]$ seven times uniformly, giving a mesh size of $h=\frac 1{64}$, which
+In the program, we will refine the square
+$[-1,1]^2$ seven times uniformly, giving a mesh size of $h=\frac 1{64}$, which
 is what we set the time step to. The fact that we set the time step and mesh
 size individually in two different places is error prone: it is too easy to
 refine the mesh once more but forget to also adjust the time step. @ref