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<html>
<head>
<title>MathJax Equation References</title>
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</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>
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