write equations into a 2 column table with left column showing the left side of the equation and right column showing the right side of the equation

Question

I am writing a 2 column paper and I would like to organize my formulas into a table with 2 columns with the cells of the left column containing the left side of the equation and the cells in the right column containing the right side of the equation.

I would like to achieve this with the right side of each equation inside each of the cells of the right columns.

Here is what my equations currently look like:

Here is the source code I am using:

    \documentclass[sigconf]{acmart}

\usepackage{booktabs} % For formal tables
\usepackage{algorithmic}
\usepackage{fixltx2e}
\usepackage{algorithm}
\usepackage{enumitem}
\usepackage{multirow}
\usepackage{hhline}
\usepackage{amsmath}
\usepackage{lmodern}
\usepackage[T1]{fontenc}

\newcommand\vn[1]{\mathit{#1}} % or: \mathrm{#1}
\newcommand\Or{\mathrel{\big\Vert}}

\setcopyright{acmcopyright}


% DOI
\acmDOI{xx.xxx/xxx_x}

% ISBN
\acmISBN{978-1-4503-8104-8/21/03}

%Conference
\acmConference[SAC'21]{ACM SAC Conference}{March 22-March 26, 2021}{Gwangju, South Korea}
\acmYear{2021}
\copyrightyear{2021}

%\thispagestyle{plain} 

\acmArticle{4}
\acmPrice{15.00}


\pagestyle{plain}
\settopmatter{printfolios=true}
\begin{document}

\title{test}

\author{Anonymous Author(s)}





\begin{abstract}
abstract

\end{abstract}




\maketitle




\begin{gather*}
\vn{NoCallersU} + \vn{NoCalleesU}
=\vn{Callers}^{\vn{N}} 
  \And \vn{Callees}^{\vn{N}} \\[1ex]
\begin{aligned}
\vn{Low}&\vn{Combination} \\
&=\bigl(\vn{Callers}^{\vn{L}} \And \bigl(\vn{Callees}^{\vn{L}} 
  \Or \vn{Callees}^{\vn{N}})\bigr)\bigr) \\
&\quad \Or\bigl( \vn{Callers}^{\vn{N}} \And \vn{Callees}^{\vn{L}} \bigr) \\[1ex]
\vn{Medium}&\vn{Combination}\\
&=\bigl(\vn{Callers}^{\vn{M}}\And\bigl(\vn{Callees}^{\vn{M}} \\ 
&\quad \Or \vn{Callees}^{\vn{L}}  \Or \vn{Callees}^{\vn{N}}\bigr) \bigr) \\
&\quad \Or \bigl(( \vn{Callers}^{\vn{N}} \Or \bigl(\vn{Callers}^{\vn{L}} ) 
 \And \vn{Callees}^{\vn{M}}\bigr)\bigr)\\[1ex]
\vn{High}&\vn{Combination}\\
&=\bigl(\vn{Callers}^{\vn{H}}\And\bigl(\vn{Callees}^{\vn{H}} \Or\vn{Callees}^{\vn{M}} \\ 
&\quad \Or \vn{Callees}^{\vn{L}}  \Or \vn{Callees}^{\vn{N}}\bigr) \bigr) \\
&\quad\Or \bigl(\vn{Callers}^{\vn{H}}\And\bigl(\vn{Callees}^{\vn{M}} \\ 
&\quad \Or \vn{Callees}^{\vn{L}}  \Or \vn{Callees}^{\vn{N}}) \bigr)\bigr)
\end{aligned}
\end{gather*}





\end{document}

Answer 1

Like this?

For this you not need a table, Just use align* math environment defined in the amsmathpackage:

\documentclass[sigconf]{acmart}
%\usepackage{booktabs, hhline, multirow} % For formal tables
%\usepackage{algorithmic}
%\usepackage{fixltx2e}
%\usepackage{algorithm}
%\usepackage{enumitem}
\usepackage{amsmath}
\usepackage{lmodern}
\usepackage[T1]{fontenc}

\newcommand\vn[1]{\mathit{#1}} % or: \mathrm{#1}
\newcommand\Or{\mathrel{\big\Vert}}

\begin{document}

\begin{align*}
\vn{NoCallersU} + \vn{NoCalleesU}
    & = \vn{Callers}^{\vn{N}} \And \vn{Callees}^{\vn{N}} \\[1ex]
%
\vn{Low}\vn{Combination} 
    & = \bigl(\vn{Callers}^{\vn{L}} \And \bigl(\vn{Callees}^{\vn{L}}
        \Or \vn{Callees}^{\vn{N}})\bigr)\bigr) \\
    &\quad \Or\bigl( \vn{Callers}^{\vn{N}} \And \vn{Callees}^{\vn{L}} \bigr) \\[1ex]
%
\vn{Medium}\vn{Combination}
    & = \bigl(\vn{Callers}^{\vn{M}}\And\bigl(\vn{Callees}^{\vn{M}} \\
    &\quad \Or \vn{Callees}^{\vn{L}}  \Or \vn{Callees}^{\vn{N}}\bigr) \bigr) \\
    &\quad \Or \bigl(( \vn{Callers}^{\vn{N}} \Or \bigl(\vn{Callers}^{\vn{L}} ) \And \vn{Callees}^{\vn{M}}\bigr)\bigr)\\[1ex]
%
\vn{High}\vn{Combination}
    & = \bigl(\vn{Callers}^{\vn{H}}\And\bigl(\vn{Callees}^{\vn{H}} \Or\vn{Callees}^{\vn{M}} \\
    &\quad \Or \vn{Callees}^{\vn{L}}  \Or \vn{Callees}^{\vn{N}}\bigr) \bigr) \\
    &\quad\Or \bigl(\vn{Callers}^{\vn{H}}\And\bigl(\vn{Callees}^{\vn{M}} \\
    &\quad \Or \vn{Callees}^{\vn{L}}  \Or \vn{Callees}^{\vn{N}}) \bigr)\bigr)
\end{align*}

\end{document}

Edit (1): In two column document you equation in form as is, is to wide that can be fit in one column, You need to reorganize it for example as follows:

\[
\begin{aligned}
\vn{NoCallersU} + \vn{NoCalleesU}
    & = \vn{Callers}^{\vn{N}} \And \vn{Callees}^{\vn{N}} \\[1ex]
%
\vn{Low}\vn{Combination} 
    & = \bigl(\vn{Callers}^{\vn{L}} \And \bigl(\vn{Callees}^{\vn{L}}\\
    &\quad \Or \vn{Callees}^{\vn{N}})\bigr)\bigr) \\
    &\quad \Or\bigl( \vn{Callers}^{\vn{N}} \And \vn{Callees}^{\vn{L}} \bigr) \\[1ex]
%
\vn{Medium}\vn{Combination}
    & = \bigl(\vn{Callers}^{\vn{M}}\And\bigl(\vn{Callees}^{\vn{M}} \\
    &\quad \Or \vn{Callees}^{\vn{L}}  \Or \vn{Callees}^{\vn{N}}\bigr) \bigr) \\
    &\quad \Or \bigl(( \vn{Callers}^{\vn{N}} \Or \bigl(\vn{Callers}^{\vn{L}} ) \\
    &\quad\And \vn{Callees}^{\vn{M}}\bigr)\bigr)\\[1ex]
%
\vn{High}\vn{Combination}
    & = \bigl(\vn{Callers}^{\vn{H}}\And\bigl(\vn{Callees}^{\vn{H}} \\
    &\quad \Or\vn{Callees}^{\vn{M}} \\
    &\quad \Or \vn{Callees}^{\vn{L}}  \Or \vn{Callees}^{\vn{N}}\bigr) \bigr) \\
    &\quad\Or \bigl(\vn{Callers}^{\vn{H}}\And\bigl(\vn{Callees}^{\vn{M}} \\
    &\quad \Or \vn{Callees}^{\vn{L}}  \Or \vn{Callees}^{\vn{N}}) \bigr)\bigr)
\end{aligned}
\]

Edit (2): After your editing of question, the desired presentation of your equation can be as:

\[
\begin{array}{|l|l|}
\hline
\text{combination}
    &  \text{definition}    \\
\hline
\vn{NoCallersU} + \vn{NoCalleesU}
    & \vn{Callers}^{\vn{N}} \And \vn{Callees}^{\vn{N}} \\[1ex]
\hline
\vn{Low}\vn{Combination} 
    & \bigl(\vn{Callers}^{\vn{L}} \And \bigl(\vn{Callees}^{\vn{L}}\\
    & \Or \vn{Callees}^{\vn{N}})\bigr)\bigr) \\
    & \Or\bigl( \vn{Callers}^{\vn{N}} \And \vn{Callees}^{\vn{L}} \bigr) \\[1ex]
\hline
\vn{Medium}\vn{Combination}
    & \bigl(\vn{Callers}^{\vn{M}}\And\bigl(\vn{Callees}^{\vn{M}} \\
    & \Or \vn{Callees}^{\vn{L}}  \Or \vn{Callees}^{\vn{N}}\bigr) \bigr) \\
    & \Or \bigl(( \vn{Callers}^{\vn{N}} \Or \bigl(\vn{Callers}^{\vn{L}} ) \\
    &\quad\And \vn{Callees}^{\vn{M}}\bigr)\bigr)\\[1ex]
\hline
\vn{High}\vn{Combination}
    & \bigl(\vn{Callers}^{\vn{H}}\And\bigl(\vn{Callees}^{\vn{H}} \\
    & \Or\vn{Callees}^{\vn{M}} \\
    & \Or \vn{Callees}^{\vn{L}}  \Or \vn{Callees}^{\vn{N}}\bigr) \bigr) \\
    & \Or \bigl(\vn{Callers}^{\vn{H}}\And\bigl(\vn{Callees}^{\vn{M}} \\
    & \Or \vn{Callees}^{\vn{L}}  \Or \vn{Callees}^{\vn{N}}) \bigr)\bigr) \\
\hline
\end{array}
\]

Note, your MWE still produce one column document (not two column as you mentioned in comment). Please, clarify this par of your question too.