math equation goes out of the right margin

Question

I have the following latex text written in overleaf document:

\documentclass{article}
\usepackage[utf8]{inputenc}
\usepackage{amsmath}

\title{test}
\author{spanos.nikolaos }
\date{July 2020}

\begin{document}

\maketitle

\section{Introduction}

\textbf{Assign each array of weights to the relative actor name}

\begin{equation}
\textrm{Daniel Craig} = 
\begin{bmatrix} -0.42056742 & -0.3540595 & -0.25417486 & -0.50596726 & -0.29918054\\ -0.23971583 & -0.39325562 & -0.35581827 & -0.3175518 & -0.2992685\\ -0.26149312 & -0.3268542 & -0.34264958 & -0.50005287 & -0.41450888\\ \ldots (m=60)
\end{bmatrix} = shape(5x60)
\end{equation}

\begin{equation}
\textrm{Tobey Maguire} = \begin{bmatrix} -0.30834767 & -0.26681098 & -0.2173222  & -0.11151562 & -0.27951762\\ -0.1721798 & -0.25406063 & -0.38693774 & -0.19798501 & -0.257399\\ -0.05970115 & -0.2399106 & -0.21202469 & -0.28024384 & -0.2577843\\ \ldots (m=60) 
\end{bmatrix}= shape(5x60)
\end{equation}

\end{document}

However, both equations go out of the right margin, like is shown in the image below,

I know that there are many similar questions on this matter, however, I am new in Latex and I don't understand how to apply most of the solutions I found on my much simple case. Thank you in advance for any suggestion and I apologize if this is a duplicate.

Update 1 Based on an answer on the comments section, by using this command \textrm{Tobey Maguire} I managed to overcome the extra space and wrong names problem, so I got this,

Update 2 - relative to the reproducible code added

I opened a new Overleaf blank page and I added the code above (with packages) And I got the following shot,

Since the 2 screenshots added earlier are from a pre-defined template I don't know where the page margins are. Also, I don't know the default Latex margins of Overleaf. Because you can see in the screenshots that the letters are much smaller. How can I modify the page margins in Latex?

Answer 1

Do you really need to give the values to so many decimal places? If so you need to shrink the font something like this, but if possible I'd print at normal size but use 3 decimal places or whatever is suitable.

\documentclass{article}

\usepackage{amsmath}

\begin{document}


\paragraph{Assign each array of weights to the relative actor name}
\small
\begin{align}
\begin{split}
\rlap{\text{David Lewis}}\\
 &= \begin{bmatrix} -0.42056742 & -0.3540595 & -0.25417486 & -0.50596726 & -0.29918054\\ -0.23971583 & -0.39325562 & -0.35581827 & -0.3175518 & -0.2992685\\ -0.26149312 & -0.3268542 & -0.34264958 & -0.50005287 & -0.41450888\\ \ldots (m=60)
\end{bmatrix}\\
& = \operatorname{shape}(5\times60)
\end{split}
\\
\begin{split}
\rlap{\text{James Gandolfini}}\\
& = \begin{bmatrix} -0.30834767 & -0.26681098 & -0.2173222  & -0.11151562 & -0.27951762\\ -0.1721798 & -0.25406063 & -0.38693774 & -0.19798501 & -0.257399\\ -0.05970115 & -0.2399106 & -0.21202469 & -0.28024384 & -0.2577843\\ \ldots (m=60) 
\end{bmatrix}\\
&= \operatorname{shape}(5\times60)
\end{split}
\end{align}
%no!!\ \\

\end{document}

Answer 2

You need to reduce the font size, if you want to fit such big objects.

I propose a solution with siunitx and a tabular built in text mode via lrbox.

You can choose the font size as an optional argument to weightmatrix.

\documentclass{article}
\usepackage{amsmath,siunitx}

\DeclareMathOperator{\shape}{shape}
\newsavebox{\weightmatrixbox}
\newenvironment{weightmatrix}[1][\normalsize]
 {%
  \left[
  \begin{lrbox}{\weightmatrixbox}#1% a size changing command
  \setlength{\tabcolsep}{0.5\tabcolsep}%
  \begin{tabular}{@{}*{5}{S[table-format=-1.8]}@{}}%
 }
 {\end{tabular}\end{lrbox}\usebox{\weightmatrixbox}\right]}

\title{test}
\author{spanos.nikolaos}
\date{July 2020}

\begin{document}

\maketitle

\section{Introduction}

\subsection*{Assign each array of weights to the relative actor name}

\begin{align}
&\text{Daniel Craig} \notag\\
& = 
\begin{weightmatrix}[\footnotesize]
  -0.42056742 & -0.3540595  & -0.25417486 & -0.50596726 & -0.29918054 \\
  -0.23971583 & -0.39325562 & -0.35581827 & -0.3175518  & -0.2992685  \\
  -0.26149312 & -0.3268542  & -0.34264958 & -0.50005287 & -0.41450888 \\
  \ldots (m=60)
\end{weightmatrix} \\
& = \shape(5 \times 60) \notag \\[2ex]
&\text{Tobey Maguire} \notag\\
& =
\begin{weightmatrix}[\footnotesize]
  -0.30834767 & -0.26681098 & -0.2173222  & -0.11151562 & -0.27951762 \\
  -0.1721798  & -0.25406063 & -0.38693774 & -0.19798501 & -0.257399   \\
  -0.05970115 & -0.2399106  & -0.21202469 & -0.28024384 & -0.2577843  \\
  \ldots (m=60) 
\end{weightmatrix} \\
&= \shape(5 \times 60) \notag
\end{align}

\end{document}

Answer 3

Another possibility is to position the page in landscape mode.

\documentclass[landscape]{article}

\documentclass[landscape]{article}
\usepackage[utf8]{inputenc}
\usepackage{amsmath}
\usepackage[margin=10mm]{geometry}
\title{test}
\author{spanos.nikolaos }
\date{July 2020}

\begin{document}

\maketitle

\section{Introduction}

\textbf{Assign each array of weights to the relative actor name}

\begin{equation}
\textrm{Daniel Craig} = 
\begin{bmatrix} -0.42056742 & -0.3540595 & -0.25417486 & -0.50596726 & -0.29918054\\ -0.23971583 & -0.39325562 & -0.35581827 & -0.3175518 & -0.2992685\\ -0.26149312 & -0.3268542 & -0.34264958 & -0.50005287 & -0.41450888\\ \ldots (m=60)
\end{bmatrix} = shape(5x60)
\end{equation}

\begin{equation}
\textrm{Tobey Maguire} = \begin{bmatrix} -0.30834767 & -0.26681098 & -0.2173222  & -0.11151562 & -0.27951762\\ -0.1721798 & -0.25406063 & -0.38693774 & -0.19798501 & -0.257399\\ -0.05970115 & -0.2399106 & -0.21202469 & -0.28024384 & -0.2577843\\ \ldots (m=60) 
\end{bmatrix}= shape(5x60)
\end{equation}

\end{document}