From fc16f89c5fc7fe4dda27f3c2d4c323d8b01074f0 Mon Sep 17 00:00:00 2001
From: David Wells <drwells@email.unc.edu>
Date: Wed, 21 Jun 2023 23:16:11 -0400
Subject: [PATCH] Tweak some example documentation.

---
 examples/step-15/step-15.cc      | 2 +-
 examples/step-36/doc/intro.dox   | 5 ++---
 examples/step-39/doc/results.dox | 2 +-
 examples/step-7/doc/results.dox  | 2 +-
 4 files changed, 5 insertions(+), 6 deletions(-)

diff --git a/examples/step-15/step-15.cc b/examples/step-15/step-15.cc
index c10aabf064..30ccc56a8d 100644
--- a/examples/step-15/step-15.cc
+++ b/examples/step-15/step-15.cc
@@ -683,7 +683,7 @@ namespace Step15
         ++refinement_cycle;
         std::cout << std::endl;
       }
-    while (last_residual_norm > 1e-3);
+    while (last_residual_norm > 1e-2);
   }
 } // namespace Step15
 
diff --git a/examples/step-36/doc/intro.dox b/examples/step-36/doc/intro.dox
index 085bf3d7e9..92816cefbe 100644
--- a/examples/step-36/doc/intro.dox
+++ b/examples/step-36/doc/intro.dox
@@ -18,9 +18,8 @@ course equally applicable to the other applications above.
 
 Eigenspectrum problems have the general form
 @f{align*}
-	L \Psi &= \varepsilon \Psi \qquad &&\text{in}\ \Omega\quad,
-	\\
-	\Psi &= 0 &&\text{on}\ \partial\Omega\quad,
+    L \Psi &= \varepsilon \Psi \qquad &&\text{in}\ \Omega, \\
+    \Psi   &= 0 &&\text{on}\ \partial\Omega,
 @f}
 where the Dirichlet boundary condition on $\Psi=\Psi(\mathbf x)$ could also be
 replaced by Neumann or Robin conditions; $L$ is an operator that generally
diff --git a/examples/step-39/doc/results.dox b/examples/step-39/doc/results.dox
index c3531d9d4b..25a47ac4da 100644
--- a/examples/step-39/doc/results.dox
+++ b/examples/step-39/doc/results.dox
@@ -91,7 +91,7 @@ data into <tt>output.dat</tt>, which can be used to plot graphs with
 script <tt>plot_errors.gpl</tt> via
 
 @code
-perl postprocess.pl deallog &> output.dat
+./step-39 | perl postprocess.pl >output.dat
 gnuplot plot_errors.gpl
 @endcode
 
diff --git a/examples/step-7/doc/results.dox b/examples/step-7/doc/results.dox
index ae5a4c9f9c..de8f65c895 100644
--- a/examples/step-7/doc/results.dox
+++ b/examples/step-7/doc/results.dox
@@ -15,7 +15,7 @@ here:
 
 Secondly, the program writes tables not only to disk, but also to the
 screen while running. The output looks like the following (recall that
-columns labeled as "<code>H1</code>" actually show the $H^1$ <i>semi-</i>norm
+columns labeled as "H1" actually show the $H^1$ <i>semi-</i>norm
 of the error, not the full $H^1$ norm):
 
 
-- 
2.39.5