diff --git a/thesis.tex b/thesis.tex
index 40ec158..9391cf4 100644
--- a/thesis.tex
+++ b/thesis.tex
@@ -1412,7 +1412,7 @@
         \mathds{P}^n\colon
         \qquad
         \begin{cases}
-          p_i\qty( Z^0,\, \dots,\, Z^n ) & = P_{a_1 \dots a_i} Z^{a_1} \dots Z^{a_i} = 0
+          p_i\qty( Z^0,\, \dots,\, Z^n ) & = P_{i_1 \dots i_i} Z^{i_1} \dots Z^{i_i} = 0
           \\
           p_i\qty( \uplambda Z^0,\, \dots,\, \uplambda Z^n ) & = \uplambda^i p_i\qty( Z^0,\, \dots,\, Z^n )
         \end{cases}
@@ -1678,7 +1678,9 @@
       \begin{column}{0.6\linewidth}
         \centering
         \only<1>{\includegraphics[width=0.75\columnwidth, trim={12in 5in 0 5in}, clip]{img/input_mat.png}}
-        \only<2>{\animategraphics[autoplay,loop,controls={play,stop},width=\linewidth]{8}{img/animation/sequence/conv-}{0}{79}}
+        \only<2>{
+          \animategraphics[autoplay,loop,controls={play,stop},width=\linewidth]{8}{img/animation/sequence/conv-}{0}{79}
+        }
         \only<3>{\resizebox{\columnwidth}{!}{\import{img}{ccnn.pgf}}}
       \end{column}
     \end{columns}