GNUmakefile: oops, fix the index generation again.

[mjotex.git] / examples.tex

diff --git a/examples.tex b/examples.tex
index 897396c1061d05706da5b7d21cd187aa6199b76b..c1f3df1eb64e416fb00c52f809cdcfc562138324 100644 (file)
--- a/examples.tex
+++ b/examples.tex
@@ -1,10 +1,37 @@
 \documentclass{report}
 
+% Setting hypertexnames=false forces hyperref to use a consistent
+% internal counter for proposition/equation references rather than
+% being clever, which doesn't work after we reset those counters.
+\usepackage[hypertexnames=false]{hyperref}
+\hypersetup{
+  colorlinks=true,
+  linkcolor=blue,
+  citecolor=blue
+}
+
+% We have to load this after hyperref, so that links work, but 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 +59,11 @@
     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
@@ -80,6 +112,11 @@
     \end{align*}
   \end{section}
 
+  \begin{section}{Complex}
+    We sometimes want to conjugate complex numbers like
+    $\compconj{a+bi} = a - bi$.
+  \end{section}
+
   \begin{section}{Cone}
     The dual cone of $K$ is $\dual{K}$. Some familiar symmetric cones
     are $\Rnplus$, $\Lnplus$, $\Snplus$, and $\Hnplus$.  If cones
@@ -94,7 +131,14 @@
     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}
@@ -123,6 +167,9 @@
     $\boundedops[W]{V}$. If $W = V$, then we write $\boundedops{V}$
     instead.
 
+    If you want to solve a system of equations, try Cramer's
+    rule~\cite{ehrenborg}.
+
     The direct sum of $V$ and $W$ is $\directsum{V}{W}$, of course,
     but what if $W = V^{\perp}$? Then we wish to indicate that fact by
     writing $\directsumperp{V}{W}$. That operator should survive a
@@ -149,7 +196,7 @@
   \end{section}
 
   \begin{section}{Listing}
-    Here's an interactive sage prompt:
+    Here's an interactive SageMath prompt:
 
     \begin{tcblisting}{listing only,
                        colback=codebg,
@@ -162,6 +209,14 @@
     [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}
@@ -232,6 +287,10 @@
       fox
     \end{theorem}
 
+    \begin{exercise}
+      jumps
+    \end{exercise}
+
     \begin{definition}
       quod
     \end{definition}
@@ -262,6 +321,10 @@
       fox
     \end{theorem*}
 
+    \begin{exercise*}
+      jumps
+    \end{exercise*}
+
     \begin{definition*}
       quod
     \end{definition*}
@@ -280,4 +343,13 @@
     $\closure{X}$ and its boundary is $\boundary{X}$.
   \end{section}
 
+  \setlength{\glslistdottedwidth}{.3\linewidth}
+  \setglossarystyle{listdotted}
+  \glsaddall
+  \printnoidxglossaries
+
+  \bibliographystyle{mjo}
+  \bibliography{local-references}
+
+  \printindex
 \end{document}