X-Git-Url: http://gitweb.michael.orlitzky.com/?a=blobdiff_plain;f=examples.tex;h=4005cdd984dfe9a46194751b97b1bea2b8679748;hb=f114f14b8b351c58103bc0f55f69778175ab57b6;hp=a202da7bf69cc28ba3cda55b448f0edf11d6edf7;hpb=7321e6c665f3b9797bb7a76618e6419a33357e6c;p=mjotex.git

diff --git a/examples.tex b/examples.tex
index a202da7..4005cdd 100644
--- a/examples.tex
+++ b/examples.tex
@@ -1,10 +1,27 @@
 \documentclass{report}
 
+% We have to load this before mjotex so that mjotex knows to define
+% its glossary entries.
+\usepackage[nonumberlist]{glossaries}
+\makenoidxglossaries
+
+% If you want an index, we can do that too. You'll need to define
+% the "INDICES" variable in the GNUmakefile, though.
+\usepackage{makeidx}
+\makeindex
+
 \usepackage{mjotex}
 \usepackage{mathtools}
 
 \begin{document}
 
+  \begin{section}{Algebra}
+    If $R$ is a \index{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 +49,11 @@
     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 +121,14 @@
     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 +183,7 @@
   \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 +196,14 @@
     [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}
@@ -237,6 +274,10 @@
       fox
     \end{theorem}
 
+    \begin{exercise}
+      jumps
+    \end{exercise}
+
     \begin{definition}
       quod
     \end{definition}
@@ -267,6 +308,10 @@
       fox
     \end{theorem*}
 
+    \begin{exercise*}
+      jumps
+    \end{exercise*}
+
     \begin{definition*}
       quod
     \end{definition*}
@@ -285,4 +330,10 @@
     $\closure{X}$ and its boundary is $\boundary{X}$.
   \end{section}
 
+  \setlength{\glslistdottedwidth}{.3\linewidth}
+  \setglossarystyle{listdotted}
+  \glsaddall
+  \printnoidxglossaries
+
+  \printindex
 \end{document}