矩阵与 LaTex 生成的 PDF 不完全吻合

Question

我有以下用于 10x10 矩阵的 LaTex 代码（我从 Mathematica 导入），

"$$\begin{bmatrix*}[r]
 -2 (\text{$\beta $111} +\text{$\beta $224} x^2 & 0
   & 2 \text{$\alpha $111} & 2 \text{$\alpha $223} y^2 & 2 \text{$\alpha $224} x^2 &
   0 & 0 & 0 & x y (\text{$\alpha $223}+\text{$\alpha $224}) & x y (\text{$\alpha
   $223}+\text{$\alpha $224}) \\
   +\text{$\beta $223} y^2)&&&&&&&&& \\
 0 & -2 (\text{$\beta $222}+\text{$\beta $115} x^2
   & 0 & 2 \text{$\alpha $115} x^2 & 2 \text{$\alpha $116} y^2 & 2 \text{$\alpha
   $222} & 0 & 0 & -x y (\text{$\alpha $115}+\text{$\alpha $116}) & -x y
   (\text{$\alpha $115}+\text{$\alpha $116}) \\
   &+\text{$\beta $116} y^2)&&&&&&&& \\
 2 \text{$\beta $111} & 0 & -2 (\text{$\alpha $111}+\text{$\beta $222}) & 0 & 0 & 0 &
   2 \text{$\alpha $222} & 0 & 0 & 0 \\
 2 \text{$\beta $223} y^2 & 2 \text{$\beta $115} x^2 & 0 & -2 (\text{$\alpha
   $115} x^2+\text{$\beta $229} x^2 & 0 & 0 & 2 \text{$\alpha $117} y^2 & 2 \text{$\alpha $229} x^2 & -x y
   (-\text{$\alpha $116}+\text{$\alpha $224}
   & -x y (-\text{$\alpha $116}+\text{$\alpha $224} \\
    &&&+\text{$\alpha $223} y^2+\text{$\beta $117}
   y^2)&&&&&+\text{$\beta $118}-\text{$\beta $2210})&+\text{$\beta $118}-\text{$\beta
   $2210})
   \\
 2 \text{$\beta $224} x^2 & 2 \text{$\beta $116} y^2 & 0 & 0 & -2 (\text{$\alpha
   $224} x^2+\text{$\beta $118} x^2 & 0 & 2 \text{$\alpha $118} x^2 & 2 \text{$\alpha $2210} y^2 & -x y
   (-\text{$\alpha $115}+\text{$\alpha $223} &
   -x y (-\text{$\alpha $115}+\text{$\alpha $223} \\
    &&&&+\text{$\alpha $116} y^2+\text{$\beta $2210}
   y^2)&&&&+\text{$\beta $117}-\text{$\beta $229})&+\text{$\beta $117}-\text{$\beta
   $229})
   \\
 0 & 2 \text{$\beta $222} & 0 & 0 & 0 & -2 (\text{$\alpha $222}+\text{$\beta $111}) &
   0 & 2 \text{$\alpha $111} & 0 & 0 \\
 0 & 0 & 2 \text{$\beta $222} & 2 \text{$\beta $117} y^2 & 2 \text{$\beta $118} x^2 &
   0 & -2 (\text{$\alpha $222}+\text{$\alpha $117} x^2 & 0 & x y (\text{$\beta $117}+\text{$\beta $118}) & x y (\text{$\beta
   $117}+\text{$\beta $118}) \\
   &&&&&&+\text{$\alpha $118}
   y^2)&&&\\
0 & 0 & 0 & 2 \text{$\beta $229} x^2 & 2 \text{$\beta $2210} y^2 & 2 \text{$\beta
   $111} & 0 & -2 (\text{$\alpha $111}+\text{$\alpha $2210} x^2& -x y (\text{$\beta $2210}+\text{$\beta $229}) & -x y
   (\text{$\beta $2210}+\text{$\beta $229})\\
   &&&&&&&+\text{$\alpha
   $229} y^2) && \\
 x y (\text{$\beta $223}+\text{$\beta $224}) & -x y (\text{$\beta $115}+\text{$\beta
   $116}) & 0 & x y (\text{$\alpha $118}-\text{$\alpha $2210} & x y (\text{$\alpha $117}-\text{$\alpha
   $229} & 0 & x y (\text{$\alpha
   $117}+\text{$\alpha $118}) & -x y (\text{$\alpha $2210}+\text{$\alpha $229}) & -i
   (\text{l1}-\text{l2}) & 0 \\
   &&&-\text{$\beta
   $116}+\text{$\beta $224})&-\text{$\beta $115}+\text{$\beta $223})&&&&-\text{$\alpha $115} x^2-\text{$\alpha $224} x^2&
   \\
   &&&&&&&&-\text{$\beta
   $118} x^2-\text{$\beta $229} x^2&
   \\
   &&&&&&&&-\text{$\alpha $116} y^2-\text{$\alpha $223}
   y^2&
   \\
   &&&&&&&&-\text{$\beta $117} y^2-\text{$\beta $2210} y^2&
   \\
 x y (\text{$\beta $223}+\text{$\beta $224}) & -x y (\text{$\beta $115}+\text{$\beta
   $116}) & 0 & x y (\text{$\alpha $118}-\text{$\alpha $2210} & x y (\text{$\alpha $117}-\text{$\alpha
   $229} & 0 & x y (\text{$\alpha
   $117}+\text{$\alpha $118}) & -x y (\text{$\alpha $2210}+\text{$\alpha $229}) & 0 &
   -i (\text{l2}-\text{l1})
   \\
   &&&-\text{$\beta
   $116}+\text{$\beta $224})&-\text{$\beta $115}+\text{$\beta $223})&&&&&-\text{$\alpha $115} x^2-\text{$\alpha $224}x^2
   \\
   &&&&&&&&&-\text{$\beta
   $118} x^2-\text{$\beta $229} x^2
   \\
   &&&&&&&&&-\text{$\alpha $116} y^2-\text{$\alpha $223}
   y^2
   \\
     &&&&&&&&&-\text{$\beta $117} y^2-\text{$\beta $2210} y^2 \\
\end{bmatrix*} $$
\end{document}

完整矩阵在 PDF 中适合以下乳胶格式，

\documentclass{standalone}
\usepackage{amsmath,mathtools,amsthm}
\usepackage{array}

还以这种格式附加了完整的矩阵。

但就格式而言，

\usepackage{setspace}
\usepackage{amssymb}
\usepackage{amsmath}
\usepackage{graphicx}
\usepackage{siunitx}
\usepackage{geometry,mathtools}
\usepackage{comment}
\setcounter{MaxMatrixCols}{10}
\usepackage[a4paper,margin=1.5cm]{geometry}"

我正在处理以下文档类型的第六列，

那么，有没有什么办法可以适应这种格式的完整矩阵呢？

Answer 1

您的矩阵非常庞大，而且正如所写，无法放在一页上。可能的解决方案是将其分成两部分：

此解决方案基于以下假设：\alpha和处的数字\beta是它们的索引。如果是这种情况，请告知我们。

从代码中删除所有混乱的内容后，MWE 为：

\documentclass{article}
\usepackage[a4paper, margin=15mm]{geometry}
\usepackage{nccmath, mathtools}

\begin{document}
\begingroup
\setlength\arraycolsep{1pt}
\renewcommand\arraystretch{1.5}
\begin{multline}
\medmath{
\widehat{\widetilde{\mathcal{M}}} =
   \left[\begin{array}{*{5}{c}}
\begin{multlined}[t]-2 \bigl(\beta_{111}+\\[-2.4ex]
\beta_{224} x^2+\beta_{223} y^2\bigr)\end{multlined}
    & 0
        & 2 \alpha_{111}
            & 2 \alpha_{223} y^2
                & 2 \alpha_{224} x^2    \\%%%%
0
    & \begin{multlined}[t]-2 \bigl(\beta_{222}+\\[-2.4ex]
    \beta_{115} x^2+\beta_{116} y^2\bigr)\end{multlined}
        & 0
            & 2 \alpha_{115} x^2
                & 2 \alpha_{116} y^2    \\%%%%
 \beta_{111}
    & 0
        & -2 \bigl(\alpha_{111}+\beta_{222}\bigr)
            & 0
                & 0    \\%%%%
2 \beta_{223} y^2
    & 2 \beta_{115} x^2
        & 0
            & \begin{multlined}[t]-2 \bigl(\alpha_{115} x^2+ \beta_{229} x^2+ \\[-2.4ex]
            \alpha_{223} y^2 + \beta_{117} y^2\bigr)\end{multlined}
                & 0    \\%%%%
2 \beta_{224} x^2
    & 2 \beta_{116} y^2
        & 0
            & 0
                & \begin{multlined}[t]-2 \bigl(\alpha_{224} x^2+\beta_{118} x^2 +\\[-2.4ex]
                \alpha_{116} y^2 +\beta_{2210}y^2\bigr)\end{multlined}    \\%%%%
0
    & 2 \beta_{222}
        & 0
            & 0
                & 0    \\%%%%
0
    & 0
        & 2 \beta_{222}
            & 2 \beta_{117} y^2
                & 2 \beta_{118} x^2    \\%%%%
0
    & 0
        & 0
            & 2 \beta_{229} x^2
                & 2 \beta_{2210} y^2    \\%%%%
x y \bigl(\beta_{223}+\beta_{224}\bigr)
    & -x y (\beta_{115}+\beta_{116}\bigr)
        & 0
            & \begin{multlined}[t]x y \bigl(\alpha_{118}-\alpha_{2210}-\\[-2.4ex]
            \beta_{116}+\beta_{224}\bigr)\end{multlined}
                & \begin{multlined}[t]x y \bigl(\alpha_{117}-\alpha_{229}-\\[-2.4ex]
                \beta_{115}+\beta_{223}\bigr)\end{multlined}    \\%%%%
x y \bigl(\beta_{223}+\beta_{224}\bigr)
    & -x y \bigl(\beta_{115}+\beta_{116}\bigr)
        & 0
            & \begin{multlined}[t]v y \bigl(\alpha_{118}-\alpha_{2210}-\\[-2.4ex]
            \beta_{116}+\beta_{224}\bigr)\end{multlined}
                & \begin{multlined}[t]x y\bigl(\alpha_{117}-\alpha_{229}-\\[-1ex]
                \beta_{115}+\beta_{223}\bigr)\end{multlined}
    \end{array}\right.}   \\
%%%%%%%%%%%%%% SECOND PART
    \medmath{
    \left.\begin{array}{*{5}{c}}
0
    & 0
        & 0
            & x y \bigl(\alpha_{223}+\alpha_{224}\bigr)
                & x y \bigl(\alpha_{223}+\alpha_{224}\bigr) \\
2 \alpha_{222}
    & 0
        & 0
            & -x y \bigl(\alpha_{115}+\alpha_{116}\bigr)
                & -x y \bigl(\alpha_{115}+\alpha_{116}\bigr) \\
0
    & 2 \alpha_{222}
        & 0
            & 0
                & 0 \\
0
    & 2 \alpha_{117} y^2
        & 2 \alpha_{229} x^2
            & \begin{multlined}[t]
            -x y \bigl(-\alpha_{116}+\alpha_{224}+\\[-2.4ex]
            \beta_{118}-\beta_{2210}\bigr)\end{multlined}
                & \begin{multlined}[t]-x\bigl(-\alpha_{116}+\alpha_{224}+\\[-2.4ex]
                \beta_{118}-\beta_{2210}\bigr)\end{multlined} \\                
0
    & \begin{multlined}[t]
    -2 \bigl(\alpha_{222}+\\[-2.4ex]
    \alpha_{117} x^2+\alpha_{118} y^2\bigr)\end{multlined}
        & 0
            & x y (\beta_{117}+\beta_{118}\bigr)
                & x y \bigl(\beta_{117}+\beta_{118}\bigr) \\
0
    & 2 \alpha_{118} x^2
        & 2 \alpha_{2210} y^2
            & \begin{multlined}[t]
            -x y\bigl(-\alpha_{115}+\alpha_{223}+\\[-2.4ex]
            \beta_{117}-\beta_{229}\bigr)\end{multlined}
                & \begin{multlined}[t]
                -x y \bigl(-\alpha_{115}+\alpha_{223}+\\[-2.4ex] \beta_{117}-\beta_{229}\bigr)\end{multlined} \\
-2 \bigl(\alpha_{222}+\beta_{111}\bigr)
    & 0
        & 2 \alpha_{111}
            & 0
                & 0 \\
0
    & \begin{multlined}[t]-2 \bigl(\alpha_{222}+\\[-2.4ex]
    \alpha_{117} x^2+\alpha_{118} y^2\bigr)\end{multlined}
        & 0
            & x y (\beta_{117}+\beta_{118}\bigr)
                & x y \bigl(\beta_{117}+\beta_{118}\bigr) \\
2 \beta_{111}
    & 0
        & \begin{multlined}[t]-2 \bigl(\alpha_{111}+\\[-2.4ex]
        \alpha_{2210} x^2 +\alpha_{229} y^2\bigr)\end{multlined}
            & -x y \bigl(\beta_{2210}+\beta_{229}\bigr)
                & -x y\bigl(\beta_{2210}+\beta_{229}\bigr) \\
0
    & x y \bigl(\alpha_{117}+\alpha_{118}\bigr)
        & -x y \bigl(\alpha_{2210}+\alpha_{229}\bigr)
            & \begin{multlined}[t]
            -i (l1-l2)-\alpha_{115} x^2-\\[-2.4ex]
            \alpha_{224} x^2-\beta_{118} x^2-\\
            \beta_{229}x^2-\alpha_{116} y^2-\\ 
            \alpha_{223}y^2-\beta_{117} y^2-\\
            \beta_{2210} y^2\end{multlined}
                & 0     \\
0
    & x y \bigl(\alpha_{117}+\alpha_{118}\bigr)
        & -x y \bigl(\alpha_{2210}+\alpha_{229}\bigr)
            & 0
                & \begin{multlined}[t]-i(l2-l1)-\alpha_{115}x^2-\\[-2.4ex]
                \alpha_{224}x^2-\beta_{118} x^2-\\
                \beta_{229} x^2-\alpha_{116}y^2-\\
                \alpha_{223} y^2-\beta_{117} y^2-\\
                \beta_{2210} y^2\end{multlined}
    \end{array}\right]}
\end{multline}
\endgroup
\end{document}