From 64cb57a03ce609e10767e7b256d157cfbe0f4bce Mon Sep 17 00:00:00 2001
From: Timo Heister <timo.heister@gmail.com>
Date: Tue, 14 May 2019 15:17:56 -0600
Subject: [PATCH] fix doxygen formula errors

---
 examples/step-32/doc/intro.dox             | 2 +-
 examples/step-38/doc/intro.dox             | 2 +-
 include/deal.II/grid/grid_generator.h      | 2 +-
 include/deal.II/grid/manifold_lib.h        | 4 ++--
 include/deal.II/lac/qr.h                   | 2 +-
 include/deal.II/optimization/solver_bfgs.h | 4 ++--
 6 files changed, 8 insertions(+), 8 deletions(-)

diff --git a/examples/step-32/doc/intro.dox b/examples/step-32/doc/intro.dox
index 8071c67c0c..d2f56b7882 100644
--- a/examples/step-32/doc/intro.dox
+++ b/examples/step-32/doc/intro.dox
@@ -1144,7 +1144,7 @@ the following quantities:
   viscosity of the material that flows into the area vacated under the
   rebounding continental plates.
 
-  Using this technique, values around $\eta=10^{21} \text{Pa \thinmuskip s}
+  Using this technique, values around $\eta=10^{21} \text{Pa \; s}
   = 10^{21} \frac{\text{N\; s}}{\text{m}^2}
   = 10^{21} \frac{\text{kg}}{\text{m\; s}}$ have been found as the most
   likely, though the error bar on this is at least one order of magnitude.
diff --git a/examples/step-38/doc/intro.dox b/examples/step-38/doc/intro.dox
index f28962a508..f0dd4307cc 100644
--- a/examples/step-38/doc/intro.dox
+++ b/examples/step-38/doc/intro.dox
@@ -118,7 +118,7 @@ This surface description given, in the codimension one surface case, the two
 routines FEValues::shape_grad and FEValues::JxW
 return
 @f{align*}
-\text{FEValues::shape_grad}(i,l)&=D \mathbf x_K(p_l) G^{-1}(p_l)D(\varphi_i \circ \mathbf x_K)
+\text{FEValues::shape\_grad}(i,l)&=D \mathbf x_K(p_l) G^{-1}(p_l)D(\varphi_i \circ \mathbf x_K)
   (p_l)
 \\
 \text{FEValues::JxW}(l) &=  \sqrt{\det (G(p_l))} \ w_l.
diff --git a/include/deal.II/grid/grid_generator.h b/include/deal.II/grid/grid_generator.h
index febb246c8b..9c55cf002f 100644
--- a/include/deal.II/grid/grid_generator.h
+++ b/include/deal.II/grid/grid_generator.h
@@ -1120,7 +1120,7 @@ namespace GridGenerator
    *
    * @f[
    *     r = r_{\text{inner}} + (r_\text{outer} - r_\text{inner})
-   *     \frac{1 - \tanh(\text{skewness}(1 - k/\text{n_shells}))}
+   *     \frac{1 - \tanh(\text{skewness}(1 - k/\text{n\_shells}))}
    *          {\tanh(\text{skewness})}
    * @f]
    *
diff --git a/include/deal.II/grid/manifold_lib.h b/include/deal.II/grid/manifold_lib.h
index 5dfd3827f9..d9ac04ba2b 100644
--- a/include/deal.II/grid/manifold_lib.h
+++ b/include/deal.II/grid/manifold_lib.h
@@ -472,10 +472,10 @@ private:
  *
  * This is based on the definition of elliptic coordinates $(u,v)$
  * @f[
- *  \left\lbrace\begin{align*}
+ *  \left\lbrace\begin{aligned}
  *  x &=  x_0 + c \cosh(u) \cos(v) \\
  *  y &=  y_0 + c \sinh(u) \sin(v)
- *  \end{align*}\right.
+ *  \end{aligned}\right.
  * @f]
  * in which $(x_0,y_0)$ are coordinates of the center of the cartesian system.
  *
diff --git a/include/deal.II/lac/qr.h b/include/deal.II/lac/qr.h
index 68a87246a4..b970312493 100644
--- a/include/deal.II/lac/qr.h
+++ b/include/deal.II/lac/qr.h
@@ -32,7 +32,7 @@ DEAL_II_NAMESPACE_OPEN
  *
  * This class and classes derived from it are meant to build $Q$ and $R$
  * matrices one row/column at a time, i.e., by growing $R$ matrix from an empty
- * $0\times0$ matrix to $N\timesN$, where $N$ is the number of added column
+ * $0\times 0$ matrix to $N\times N$, where $N$ is the number of added column
  * vectors.
  *
  * As a consequence, matrices which have the same number of rows as each vector
diff --git a/include/deal.II/optimization/solver_bfgs.h b/include/deal.II/optimization/solver_bfgs.h
index 6caa393e19..5d4ebe19f0 100644
--- a/include/deal.II/optimization/solver_bfgs.h
+++ b/include/deal.II/optimization/solver_bfgs.h
@@ -33,7 +33,7 @@ DEAL_II_NAMESPACE_OPEN
  * method for function minimization in which the Hessian matrix is only
  * approximated. In particular, the Hessian is updated using the formula of
  * Broyden, Fletcher, Goldfarb, and Shanno (BFGS):
- * \f[
+ * @f{align*}{
  * H^{(k+1)} &= \left[
  * I-\rho_{(k)} s^{(k)} \otimes y^{(k)}
  * \right]
@@ -46,7 +46,7 @@ DEAL_II_NAMESPACE_OPEN
  * y^{(k)} &\dealcoloneq g^{(k+1)} - g^{(k)} \\
  * s^{(k)} &\dealcoloneq x^{(k+1)} - x^{(k)} \\
  * \rho^{(k)} &\dealcoloneq \frac{1}{y^{(k)} \cdot s^{(k)}}
- * \f]
+ * @f}
  * for a symmetric positive definite $H$. Limited memory variant is
  * implemented via the two-loop recursion.
  *
-- 
2.39.5