X-Git-Url: http://gitweb.michael.orlitzky.com/?a=blobdiff_plain;f=examples.tex;h=07db38e5424cdea594882a58c97aa621abf3d204;hb=e799531ea384c819fc849d2d512062f989453f04;hp=ef9a0d56f9a29c78a58d6b4cf8534a96ab746731;hpb=bd3eeb942bc06aee3717638865ec9503b3fdd535;p=mjotex.git

diff --git a/examples.tex b/examples.tex
index ef9a0d5..07db38e 100644
--- a/examples.tex
+++ b/examples.tex
@@ -1,10 +1,22 @@
 \documentclass{report}
 
+% We have to load this before mjotex so that mjotex knows to define
+% its glossary entries.
+\usepackage[nonumberlist]{glossaries}
+\makenoidxglossaries
+
 \usepackage{mjotex}
 \usepackage{mathtools}
 
 \begin{document}
 
+  \begin{section}{Algebra}
+    If $R$ is a commutative ring, then $\polyring{R}{X,Y,Z}$ is a
+    multivariate polynomial ring with indeterminates $X$, $Y$, and
+    $Z$, and coefficients in $R$. If $R$ is a moreover an integral
+    domain, then its fraction field is $\Frac{R}$.
+  \end{section}
+
   \begin{section}{Algorithm}
     An example of an algorithm (bogosort) environment.
 
@@ -32,6 +44,11 @@
     domain, then the preimage under $f$ of $A$ is $\preimage{f}{A}$.
   \end{section}
 
+  \begin{section}{Calculus}
+    The gradient of $f : \Rn \rightarrow \Rn[1]$ is $\gradient{f} :
+    \Rn \rightarrow \Rn$.
+  \end{section}
+
   \begin{section}{Common}
     The function $f$ applied to $x$ is $f\of{x}$. We can group terms
     like $a + \qty{b - c}$ or $a + \qty{b - \sqty{c - d}}$. Here's a
@@ -99,7 +116,14 @@
     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}{Euclidean Jordan algebras}
+    The Jordan product of $x$ and $y$ in some Euclidean Jordan algebra
+    is $\jp{x}{y}$.
   \end{section}
 
   \begin{section}{Font}
@@ -154,7 +178,7 @@
   \end{section}
 
   \begin{section}{Listing}
-    Here's an interactive sage prompt:
+    Here's an interactive SageMath prompt:
 
     \begin{tcblisting}{listing only,
                        colback=codebg,
@@ -167,6 +191,14 @@
     [0 0], [0 0], [1 0], [0 1]
     ]
     \end{tcblisting}
+
+    However, the smart way to display a SageMath listing is to load it
+    from an external file (under the ``listings'' subdirectory):
+
+    \sagelisting{example}
+
+    Keeping the listings in separate files makes it easy for the build
+    system to test them.
   \end{section}
 
   \begin{section}{Miscellaneous}
@@ -293,4 +325,8 @@
     $\closure{X}$ and its boundary is $\boundary{X}$.
   \end{section}
 
+  \setlength{\glslistdottedwidth}{.3\linewidth}
+  \setglossarystyle{listdotted}
+  \glsaddall
+  \printnoidxglossaries
 \end{document}