X-Git-Url: http://gitweb.michael.orlitzky.com/?a=blobdiff_plain;f=examples.tex;h=a1605c11bd311340a5212754fe0cc7453220f662;hb=1b921ba1f02499f5784ddb87fd59c0621255042c;hp=a202da7bf69cc28ba3cda55b448f0edf11d6edf7;hpb=7321e6c665f3b9797bb7a76618e6419a33357e6c;p=mjotex.git

diff --git a/examples.tex b/examples.tex
index a202da7..a1605c1 100644
--- a/examples.tex
+++ b/examples.tex
@@ -99,7 +99,9 @@
     The conic hull of a set $X$ is $\cone{X}$; its affine hull is
     $\aff{X}$, and its convex hull is $\conv{X}$. If $K$ is a cone,
     then its lineality space is $\linspace{K}$, its lineality is
-    $\lin{K}$, and its extreme directions are $\Ext{K}$.
+    $\lin{K}$, and its extreme directions are $\Ext{K}$. The fact that
+    $F$ is a face of $K$ is denoted by $F \faceof K$; if $F$ is a
+    proper face, then we write $F \properfaceof K$.
   \end{section}
 
   \begin{section}{Font}
@@ -237,6 +239,10 @@
       fox
     \end{theorem}
 
+    \begin{exercise}
+      jumps
+    \end{exercise}
+
     \begin{definition}
       quod
     \end{definition}
@@ -267,6 +273,10 @@
       fox
     \end{theorem*}
 
+    \begin{exercise*}
+      jumps
+    \end{exercise*}
+
     \begin{definition*}
       quod
     \end{definition*}