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<!DOCTYPE html>
<html>
<head>
<title>MathJax Equation References</title>
<!-- Copyright (c) 2012 Design Science, Inc. -->
<meta http-equiv="Content-Type" content="text/html; charset=UTF-8" />
<meta http-equiv="X-UA-Compatible" content="IE=edge" />

<script type="text/x-mathjax-config">
  MathJax.Hub.Config({ TeX: { equationNumbers: {autoNumber: "all"} } });
</script>
<script type="text/javascript" src="../MathJax.js?config=TeX-AMS_HTML"></script>

<style>
h1 {
  background: #CCCCCC;
  padding: .2em 1em;
  border-top: 3px solid #666666;
  border-bottom: 3px solid #999999;
}
</style>

</head>
<body>

<center>
<h1>A test of Equation References</h1>
</center>

<div style="padding:0 2em">
<hr>
Here is a labeled equation:
$$x+1\over\sqrt{1-x^2}\label{ref1}$$
with a reference to ref1: \ref{ref1},
and another numbered one with no label:
$$x+1\over\sqrt{1-x^2}$$
This one uses \nonumber:
$$x+1\over\sqrt{1-x^2}\nonumber$$
<p>
<HR>
<p>
Here's one using the equation environment:
\begin{equation}
x+1\over\sqrt{1-x^2}
\end{equation}
and one with equation* environment:
\begin{equation*}
x+1\over\sqrt{1-x^2}
\end{equation*}
<p>
<HR>
<p>
This is a forward reference [\ref{ref2}] and another \eqref{ref2} for the 
following equation:
$$x+1\over\sqrt{1-x^2}\label{ref2}$$
More math:
$$x+1\over\sqrt{1-x^2}$$
Here is a ref inside math: $\ref{ref2}+1$ and text after it.

\begin{align} 
x& = y_1-y_2+y_3-y_5+y_8-\dots 
&& \text{by \eqref{ref1}}\\ 
& = y'\circ y^* && \text{(by \eqref{ref3})}\\ 
& = y(0) y' && \text {by Axiom 1.} 
\end{align} 

Here's a bad ref [\ref{ref4}] to a nonexistent label.
<p>
<HR>
<p>
An alignment:
\begin{align}
a&=b\label{ref3}\cr
&=c+d
\end{align}
and a starred one:
\begin{align*}
a&=b\cr
&=c+d
\end{align*}

</div>

</body>
</html>