From ca42d058cdc448075f393474750d0a8a15fe9f4c Mon Sep 17 00:00:00 2001
From: Kenneth Odle <kenneth.odle@kjodle.net>
Date: Mon, 31 Jul 2023 15:42:13 -0400
Subject: [PATCH] =?UTF-8?q?Added=20=C2=ABalign=C2=BB=20section?=
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---
 lbol.tex | 43 ++++++++++++++++++++++++++++++++++++++++++-
 1 file changed, 42 insertions(+), 1 deletion(-)

diff --git a/lbol.tex b/lbol.tex
index 55f55e4..9a1c1d6 100644
--- a/lbol.tex
+++ b/lbol.tex
@@ -685,7 +685,7 @@ You can replace the bullets with any math symbol availabe in \LaTeX{} like this:
 
 \LaTeX{} has a couple of different environments that are useful for typesetting math (\texttt{align} and \texttt{array}, but they get a little beyond what I want to cover here. In addition, there are other packages (in particular \texttt{amsmath} and \texttt{mathtools}) that greatly extend the power of LaTeX to handle mathematical typesettings, but again, they are beyond the scope of this zine.
 
-\section{Math Entry Modes}
+\section{Math Entry Modes}\label{math-entry-modes}
 
 There are two types of \textit{entry modes} for math in LaTeX. The first is \textbf{in-line mode}, which begins and ends with a dollar sign, and renders the math in the same line of text as the rest of the paragraph. For example, 
 
@@ -804,8 +804,49 @@ You can also control the size of brackets and parentheses explicitly:
 
 \section{The \texttt{align} Environment}
 
+You can use the \texttt{align} environment to typeset long equations and formulas and get them to line up nicely. 
+
+Break your lines with \verb+\\+ and use \$ to show where the equations should align.
+
+\begin{Verbatim}[frame=lines, numbers=left, xleftmargin=5mm, framesep=3mm, breaklines=true, label=\texttt{align} Example]
+\begin{align}
+a_1& =b_1+c_1\\
+a_2& =b_2+c_2-d_2+e_2
+\end{align}
+
+\begin{align*}
+a_1& =b_1+c_1\\
+a_2& =b_2+c_2-d_2+e_2\\
+a_2+d_2-e_2&=b_2+c_2
+\end{align*}
+\end{Verbatim}
+
+\begin{align}
+a_1& =b_1+c_1\\
+a_2& =b_2+c_2-d_2+e_2\\
+a_2+d_2-e_2&=b_2+c_2
+\end{align}
+
+\begin{align*}
+a_1& =b_1+c_1\\
+a_2& =b_2+c_2-d_2+e_2\\
+a_2+d_2-e_2&=b_2+c_2
+\end{align*}
+
+\bigskip
+
+A couple of things to note:
+
+\begin{itemize}[noitemsep]
+ \item \texttt{align} is itself a math environment, so you don't need to use a separate math entry mode as described above.
+ \item \texttt{align} (no asterisk) produces numbered equations, whereas \texttt{align*} produces unnumbered equations.
+\end{itemize}
+
+
 \section{The \texttt{array} Environment}
 
+
+
 \section{Special Math Environments}
 
 You can use the \texttt{nicefrac} package to get fractions with a diagonal slash. This is an ordinary fraction inline (using the \texttt{frac} command): $\frac{3}{4}$, and this is a ``nice'' fraction inline (using the \texttt{nicefrac} command): $\nicefrac{3}{4}$.