我的行向量在 `align*` 环境中超出页面范围

Question

我正在尝试格式化一个包含 50 列的行向量，以便它保留在单个页面上（可能分布在多行上）。该向量位于环境中align*。我的代码如下所示

\begin{align*}
 \mathbf{y^*}&=\left(x_1,\dots,x_{50}\right) \\
 &=\left(7, 1, 1, 1, 0, 1, 7, 8, 40, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 11, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 9, 1, 0, 1, 0, 1, 0, 1, 1, 2, 0, 1 \right)
\end{align*}

如何格式化才能使矢量不超出页面范围。

编辑

\usepackage{amsmath}
\usepackage{setspace} % for "\setstretch" macro
\newcommand\mybox[1]{\parbox[t]{0.75\textwidth}{
\setstretch{1.33}\raggedright$\displaystyle #1$}}
 
\begin{align*}
\mathbf{y^*}&=(x_1,\dots,x_{50}) \\
&=\mybox{(7, 1, 1, 1, 0, 1, 7, 8, 40, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 
1, 0, 1, 1, 11, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 9, 1, 0, 1, 0, 1, 0, 1, 1, 
2, 0, 1)}
\end{align*}

另一个想法

\begin{equation*}
\begin{split}
\mathbf{x^*}=&\left(x_1,\dots,x_{50}\right) \\
=&(7, 1, 1, 1, 0, 1, 7, 8, 40, 1, \\ & 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, \\ 
 & 1, 0, 1, 0, 1, 1, 11, 0, 1, 0, \\ & 1, 1, 0, 1, 0, 1, 1, 0, 9, 1, \\ & 0, 
 1, 0, 1, 0, 1, 1, 2, 0, 1)
 \end{split}
 \end{equation*}

Answer 1

一些想法

\documentclass{article}

\usepackage{lipsum,amsmath}

\begin{document}

\lipsum*[75]
\begin{multline*}
\begin{aligned}
\mathbf{y^*}
 &= (x_1,\dots,x_{50}) \\
 &= (7, 1, 1, 1, 0, 1, 7, 8, 40, 1,
\end{aligned}
\\
0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 11, 0, 1, 0,
\\
1, 1, 0, 1, 0, 1, 1, 0, 9, 1, 0, 1, 0, 1, 0, 1, 1, 2, 0, 1)
\end{multline*}
\lipsum*[75]
\begin{align*}
\mathbf{y^*}
& = (x_1,\dots,x_{50}) \\
&= \begin{aligned}[t]
   (& 7, 1, 1, 1, 0, 1, 7, 8, 40, 1, \\
    & 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, \\
    & 1, 0, 1, 0, 1, 1, 11, 0, 1, 0, \\
    & 1, 1, 0, 1, 0, 1, 1, 0, 9, 1,\\
    & 0, 1, 0, 1, 0, 1, 1, 2, 0, 1)
   \end{aligned}
\end{align*}
\lipsum*[75]
\begin{align*}
\mathbf{y^*}
&= (x_1,\dots,x_{50}) \\
&= (
\begin{array}[t]{@{\:}c*{9}{@{\;,\;}c}}
7 & 1 & 1 & 1 & 0 & 1 & 7 & 8 & 40 & 1 \\
0 & 0 & 1 & 0 & 1 & 0 & 0 & 1 & 0 & 1 \\
1 & 0 & 1 & 0 & 1 & 1 & 11 & 0 & 1 & 0 \\
1 & 1 & 0 & 1 & 0 & 1 & 1 & 0 & 9 & 1 \\
0 & 1 & 0 & 1 & 0 & 1 & 1 & 2 & 0 & 1 \rlap{$\:)$}
\end{array}
\end{align*}

\end{document}

Answer 2

使用该包\linegoal：

\documentclass{article}
%---------------- show page layout. don't use in a real document!
\usepackage{showframe}
\renewcommand\ShowFrameLinethickness{0.15pt}
\renewcommand*\ShowFrameColor{\color{red}}
%---------------------------------------------------------------%
\usepackage{amsmath}
\usepackage{linegoal}

\begin{document}
    \[
\begin{aligned}
\mathbf{y^*}
    & = (x_1,\dots,x_{50}) \\
    & = \parbox[t]{0.8\linegoal}{
        (7, 1, 1, 1, 0, 1, 7, 8, 40, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0,
         1, 1, 11, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 9, 1, 0, 1, 0, 1, 0, 1, 1, 2, 
         0, 1)
         }
\end{aligned}
    \]
\end{document}

最终结果需要编译两次：

（红线表示页面布局）