# HG changeset patch
# User Robert McIntyre <rlm@mit.edu>
# Date 1396058943 14400
# Node ID 5a15611fbb9fd98961d24ad93416f1aacbe6e9d3
# Parent  3ec428e096e5002bc109a24a57069814065f3141
make latex happy.

diff -r 3ec428e096e5 -r 5a15611fbb9f thesis/cortex.org
--- a/thesis/cortex.org	Fri Mar 28 21:48:53 2014 -0400
+++ b/thesis/cortex.org	Fri Mar 28 22:09:03 2014 -0400
@@ -1741,22 +1741,25 @@
     rotation. The affine transformation from one triangle to another
     is readily computable if the triangle is expressed in terms of a
     $4x4$ matrix.
-    
+
+    #+BEGIN_LaTeX
+    $$
     \begin{bmatrix}
     x_1 & x_2 & x_3 & n_x \\
     y_1 & y_2 & y_3 & n_y \\ 
     z_1 & z_2 & z_3 & n_z \\
     1 & 1 & 1 & 1 
     \end{bmatrix}
+    $$
+    #+END_LaTeX
     
     Here, the first three columns of the matrix are the vertices of
     the triangle. The last column is the right-handed unit normal of
     the triangle.
     
-    With two triangles $T_{1}$ and $T_{2}$ each expressed as a matrix
-    like above, the affine transform from $T_{1}$ to $T_{2}$ is
-    
-    $T_{2}T_{1}^{-1}$
+    With two triangles $T_{1}$ and $T_{2}$ each expressed as a
+    matrix like above, the affine transform from $T_{1}$ to $T_{2}$
+    is $T_{2}T_{1}^{-1}$.
     
     The clojure code below recapitulates the formulas above, using
     jMonkeyEngine's =Matrix4f= objects, which can describe any affine
diff -r 3ec428e096e5 -r 5a15611fbb9f thesis/rlm-cortex-meng.tex
--- a/thesis/rlm-cortex-meng.tex	Fri Mar 28 21:48:53 2014 -0400
+++ b/thesis/rlm-cortex-meng.tex	Fri Mar 28 22:09:03 2014 -0400
@@ -36,6 +36,7 @@
 \usepackage{wrapfig}
 \usepackage{rotating}
 \usepackage[normalem]{ulem}
+\usepackage{mathtools}
 \usepackage{amsmath}
 \usepackage{textcomp}
 \usepackage{marvosym}