Hide Algorithm environment

You do not need the tabular environment to specify an algorithm in LaTex. Use some packages like algorithm and algpseudocode. Here is an example of the algorithm in your picture, where the definition of the for each loop comes from here https://tex.stackexchange.com/a/149166.

\documentclass{article}

\usepackage{algpseudocode}
\usepackage{algorithm}
\usepackage{hyperref}

\renewcommand{\algorithmicrequire}{\textbf{Input:}}
\renewcommand{\algorithmicensure}{\textbf{Output:}}

\algnewcommand{\Initialize}[1]{%
  \State \textbf{Initialize} #1
}

\algnewcommand{\Store}[1]{%
  \State \textbf{Store} #1
}

\algnewcommand{\Goto}[1]{%
  \State \textbf{Goto} #1
}

% for each loop
% based on: https://tex.stackexchange.com/a/149166
\algnewcommand\algorithmicforeach{\textbf{for each}}
\algdef{S}[FOR]{ForEach}[1]{\algorithmicforeach\ #1\ \algorithmicdo}

% algorithm number based on section
\counterwithin{algorithm}{section}

\begin{document}
% set section number to 8
\setcounter{section}{8}

\begin{algorithm}
    \caption{Obtaining weights (Off-line)}
    \label{alg:8.1}
    \begin{algorithmic}[1]
        \Require{$\omega_{k}^{j}, (k<m)$, $\phi(l,k)$, $H_l^j$, $R_l^j$}
        \Ensure{$\omega_{k}^{j} (k\geq m)$}
        \Initialize{$\omega_{k}^{j}, (k<m)$}
        \ForEach{$k \geq m$}\label{alg:8.1_line2}
            \State{OP~\ref{op:8.1}}
        \EndFor
        \Store{$\omega_{k}^{j}$}
        \State{$k$ $\gets$ $k+1$}
        \Goto{Line~\ref{alg:8.1_line2}}
    \end{algorithmic}
\end{algorithm}

% to have a reference for op:8.1
\begin{algorithm}
    \caption{\dots}
    \label{op:8.1}
\end{algorithm}
\end{document}