You can number each line using the alignat
environment from the amsmath package.
\documentclass{article}
\usepackage{amsmath}
\begin{document}
\begin{alignat}{2}
a &= b &\quad\Rightarrow\quad c &= d \\
e &= f & g &= h
\end{alignat}
\end{document}
You can use \nonumber
to suppress numbering on individual lines. I don't think it would be a good idea to separately number the equations in the left-hand column. Readers expecting to find the equation numbers at the edge of the page
are likely to find this annoying.
Use align
, not gather
:
\documentclass{article}
\usepackage{amsmath}
\newcommand{\suchthat}{\mid}
\begin{document}
\begin{subequations}
\label{eq:omegai}
%
\begin{align}
\label{eq:omega0}
\Omega_0 ={}& \{(\omega_{12},\omega_{23}) \suchthat \hat{\omega}_{12} > \omega_t,\ \hat{\omega}_{23} > \omega_t,\ \hat{\omega}_{31} > \omega_t \}
\\
%
\label{eq:omega1}
\begin{split}
\Omega_1 ={}& \{(\omega_{12},\omega_{23}) \suchthat \hat{\omega}_{12} \leq \omega_t,\ \hat{\omega}_{23} > \omega_t,\ \hat{\omega}_{31} > \omega_t \} \\
& \cup \{(\omega_{12},\omega_{23}) \suchthat \hat{\omega}_{12} > \omega_t,\ \hat{\omega}_{23} \leq \omega_t,\ \hat{\omega}_{31} > \omega_t \} \\
&\cup \{(\omega_{12},\omega_{23}) \suchthat \hat{\omega}_{12} > \omega_t,\ \hat{\omega}_{23} > \omega_t,\ \hat{\omega}_{31} \leq \omega_t \}
\end{split}
\\
%
\label{eq:omega2}
\begin{split}
\Omega_2 ={}& \{(\omega_{12},\omega_{23}) \suchthat \hat{\omega}_{12} > \omega_t,\ \hat{\omega}_{23} \leq \omega_t,\ \hat{\omega}_{31} \leq \omega_t \} \\
& \cup \{(\omega_{12},\omega_{23}) \suchthat \hat{\omega}_{12} \leq \omega_t,\ \hat{\omega}_{23} > \omega_t,\ \hat{\omega}_{31} \leq \omega_t \} \\
& \cup \{(\omega_{12},\omega_{23}) \suchthat \hat{\omega}_{12} \leq \omega_t,\ \hat{\omega}_{23} \leq \omega_t,\ \hat{\omega}_{31} > \omega_t \}
\end{split}
\\
%
\label{eq:omega3}
\Omega_3 ={}& \{(\omega_{12},\omega_{23}) \suchthat \hat{\omega}_{12} \leq \omega_t,\ \hat{\omega}_{23} \leq \omega_t,\ \hat{\omega}_{31} \leq \omega_t \}
\end{align}
%
\end{subequations}
\end{document}
The ={}&
trick is to get \cup
a bit to the right of the brace in the upper line in the split
equations.
I have removed all \left
and \right
that serve no purpose here (they actually introduce unwanted spaces).
Best Answer
The question is not yet clear, do you mean one of the following variations of the theme?
Variations with updated information. The first case puts all to the left, the second case is more complicate, it sets the equations in the middle, but the text to the left: