A test of Equation Numbering
Equation:
\begin{equation}
E = mc^2
\end{equation}
Equation*:
\begin{equation*}
E = mc^2
\end{equation*}
Brackets:
\[E = mc^2\]
Brackets tagged:
\[E = mc^2\tag{x}\]
Split:
\begin{equation}
\begin{split} 
a& =b+c-d\\ 
& \quad +e-f\\ 
& =g+h\\ 
& =i 
\end{split} 
\end{equation} 
Multline:
\begin{multline}
  a+b+c+d+e+f+g\\
  M+N+O+P+Q\\
  R+S+T\\
  u+v+w+x+y+z
\end{multline}
Multline*:
\begin{multline*}
  a+b+c+d+e+f+g\\
  M+N+O+P+Q\\
  R+S+T\\
  u+v+w+x+y+z
\end{multline*}
Gather:
\begin{gather} 
a_1=b_1+c_1\\ 
a_2=b_2+c_2-d_2+e_2 
\end{gather} 
Gather*:
\begin{gather*} 
a_1=b_1+c_1\\ 
a_2=b_2+c_2-d_2+e_2 
\end{gather*} 
Align:
\begin{align} 
a_1& =b_1+c_1\\ 
a_2& =b_2+c_2-d_2+e_2 
\end{align}
Align*:
\begin{align*} 
a_1& =b_1+c_1\\ 
a_2& =b_2+c_2-d_2+e_2 
\end{align*}
Align:
\begin{align} 
a_{11}& =b_{11}& a_{12}& =b_{12}\\ 
a_{21}& =b_{21}& a_{22}& =b_{22}+c_{22} 
\end{align}
Align with \notag and \tag:
\begin{align} 
a_{11}& =b_{11}& a_{12}& =b_{12}\notag\\ 
a_{21}& =b_{21}& a_{22}& =b_{22}+c_{22} \tag{y}
\end{align}
Align* with \tag:
\begin{align*} 
a_1& =b_1+c_1\tag{z}\\ 
a_2& =b_2+c_2-d_2+e_2 
\end{align*}