행렬의 열을 설명하려면 Overbrace를 추가하세요.

Question

다음 출력을 얻기 위해 매트릭스에 일부 중괄호를 추가하고 싶습니다.

그러나 이것이 내가 얻은 것입니다.

뉴런 1과 뉴런 2 제목을 얻는 방법을 모르겠습니다...오버브레이스를 생각하고 있었지만 이 경우 어떻게 사용하는지 잘 모르겠습니다. 행렬 오른쪽에 있는 항목이 제대로 정렬되지 않았습니다. 방정식 번호도 다음 줄로 이동합니다. 누구든지 도와주세요.

내 코드는 다음과 같습니다(amsmath 패키지를 사용하고 있습니다).

    \begin{equation}

    \begin{matrix}
     J
     =
     \begin{bmatrix}
     \frac{\delta e_{1,1}}{\delta w_{1,1}}  & \frac{\delta e_{1,1}}{\delta w_{1,2}} &
     \cdots & \frac{\delta e_{1,1}}{\delta w_{j,1}}  & \cdots \\[0.5em]

     \frac{\delta e_{1,2}}{\delta w_{1,1}}  & \frac{\delta e_{1,2}}{\delta w_{1,2}} & 
     \cdots & \frac{\delta e_{1,2}}{\delta w_{j,1}}  & \cdots \\[0.5em]

     \cdots & \cdots & \cdots &
     \cdots & \cdots \\[0.5em]

     \frac{\delta e_{1,M}}{\delta w_{1,1}}  & \frac{\delta e_{1,M}}{\delta w_{1,2}} & 
     \cdots & \frac{\delta e_{1,M}}{\delta w_{j,1}}  & \cdots \\[0.5em]

     \cdots & \cdots & \cdots &
     \cdots & \cdots \\[0.5em]

     \frac{\delta e_{P,1}}{\delta w_{1,1}}  & \frac{\delta e_{P,1}}{\delta w_{1,2}} & 
     \cdots & \frac{\delta e_{P,1}}{\delta w_{j,1}}  & \cdots \\[0.5em]

     \frac{\delta e_{P,1}}{\delta w_{1,1}}  & \frac{\delta e_{np,2}}{\delta w_{1,2}} &
     \cdots & \frac{\delta e_{P,2}}{\delta w_{j,1}}  & \cdots \\[0.5em]

     \cdots & \cdots & \cdots &
     \cdots & \cdots \\[0.5em]

      \frac{\delta e_{P,M}}{\delta w_{1,1}}  & \frac{\delta e_{P,M}}{\delta w_{1,2}} & 
      \cdots & \frac{\delta e_{P,M}}{\delta w_{j,1}}  & \cdots \\[0.5em]
      \end{bmatrix} %\!\! 
      \begin{aligned}
      &\left.\begin{matrix}
      m = 1  \\[0.5em]
      m = 2  \\[0.5em]
      \cdots \\[0.5em]
      m = M  \\[0.5em]
      \end{matrix} \right\} %
      p = 1\\
      &\begin{matrix}
      \phantom{\cdots}\cdots\\[0.5em]
      \end{matrix}\\ %
      &\left.\begin{matrix}
      m = 1  \\[0.5em]
      m = 2  \\[0.5em]
      \cdots \\[0.5em]
      m = M\\[0.5em]
      \end{matrix}\right\}%
      p = P\\
     \end{aligned}
     \end{matrix}
     \end{equation}

Answer 1

여기에 하나의 (TikZ 무료) 가능성이 있습니다. \overmat두 번째 인수에 포함된 항목 위에 첫 번째 인수를 씁니다. \bovermat(아래 두 번째 예에서) 유사하게 작동하지만 과도한 버팀대를 보여줍니다. 또한 일부 팬텀을 사용하여 표현식의 오른쪽 정렬을 수정했습니다.

\documentclass{article}
\usepackage{amsmath}
\usepackage{xcolor}

\newcommand\overmat[2]{%
  \makebox[0pt][l]{$\smash{\color{white}\overbrace{\phantom{%
    \begin{matrix}#2\end{matrix}}}^{\text{\color{black}#1}}}$}#2}
\newcommand\partialphantom{\vphantom{\frac{\partial e_{P,M}}{\partial w_{1,1}}}}

\begin{document}

\begin{equation}
\begin{matrix}
 J
 =
 \begin{bmatrix}
 \overmat{neuron 1}{\frac{\partial e_{1,1}}{\partial w_{1,1}}  & \frac{\partial e_{1,1}}{\partial w_{1,2}}} &
 \overmat{$\mkern-3.5mu\cdots$}{\cdots} & \overmat{neuron $j$}{\frac{\partial e_{1,1}}{\partial w_{j,1}} & \frac{\partial e_{1,1}}{\partial w_{j,1}}} & \cdots \\[0.5em]
%
 \frac{\partial e_{1,2}}{\partial w_{1,1}}  & \frac{\partial e_{1,2}}{\partial w_{1,2}} & 
 \cdots & \frac{\partial e_{1,2}}{\partial w_{j,1}}  & \cdots \\[0.5em]
%
 \cdots & \cdots & \cdots &
 \cdots & \cdots \\[0.5em]
%
 \frac{\partial e_{1,M}}{\partial w_{1,1}}  & \frac{\partial e_{1,M}}{\partial w_{1,2}} & 
 \cdots & \frac{\partial e_{1,M}}{\partial w_{j,1}}  & \cdots \\[0.5em]
%
 \cdots & \cdots & \cdots &
 \cdots & \cdots \\[0.5em]
%
 \frac{\partial e_{P,1}}{\partial w_{1,1}}  & \frac{\partial e_{P,1}}{\partial w_{1,2}} & 
 \cdots & \frac{\partial e_{P,1}}{\partial w_{j,1}}  & \cdots \\[0.5em]
%
 \frac{\partial e_{P,1}}{\partial w_{1,1}}  & \frac{\partial e_{np,2}}{\partial w_{1,2}} &
 \cdots & \frac{\partial e_{P,2}}{\partial w_{j,1}}  & \cdots \\[0.5em]
%
 \cdots & \cdots & \cdots &
 \cdots & \cdots \\[0.5em]
%
  \frac{\partial e_{P,M}}{\partial w_{1,1}}  & \frac{\partial e_{P,M}}{\partial w_{1,2}} & 
  \cdots & \frac{\partial e_{P,M}}{\partial w_{j,1}}  & \cdots \\[0.5em]
  \end{bmatrix}
  \begin{aligned}
  &\left.\begin{matrix}
  \partialphantom m = 1  \\[0.5em]
  \partialphantom m = 2  \\[0.5em]
  \cdots \\[0.5em]
  \partialphantom m = M  \\[0.5em]
  \end{matrix} \right\} %
  p = 1\\
  &\begin{matrix}
  \\[-1.67em]\phantom{\cdots}\cdots
  \end{matrix}\\ %
  &\left.\begin{matrix}
  \partialphantom m = 1  \\[0.5em]
  \partialphantom m = 2  \\[0.5em]
  \cdots \\[0.5em]
  \partialphantom m = M\\[0.5em]
  \end{matrix}\right\}%
  p = P\\
 \end{aligned}
 \end{matrix}
 \end{equation}

\end{document}

그리고 중괄호를 사용한 변형:

\documentclass{article}
\usepackage{amsmath}
\usepackage{xcolor}

\newcommand\overmat[2]{%
  \makebox[0pt][l]{$\smash{\color{white}\overbrace{\phantom{%
    \begin{matrix}#2\end{matrix}}}^{\text{\color{black}#1}}}$}#2}
\newcommand\bovermat[2]{%
  \makebox[0pt][l]{$\smash{\overbrace{\phantom{%
    \begin{matrix}#2\end{matrix}}}^{\text{#1}}}$}#2}
\newcommand\partialphantom{\vphantom{\frac{\partial e_{P,M}}{\partial w_{1,1}}}}

\begin{document}

\begin{equation}
\begin{matrix}
 J
 =
 \begin{bmatrix}
 \bovermat{neuron 1}{\frac{\partial e_{1,1}}{\partial w_{1,1}}  & \frac{\partial e_{1,1}}{\partial w_{1,2}}} &
 \overmat{$\mkern-3.5mu\cdots$}{\cdots} & \bovermat{neuron $j$}{\frac{\partial e_{1,1}}{\partial w_{j,1}} & \frac{\partial e_{1,1}}{\partial w_{j,1}}} & \cdots \\[0.5em]
%
 \frac{\partial e_{1,2}}{\partial w_{1,1}}  & \frac{\partial e_{1,2}}{\partial w_{1,2}} & 
 \cdots & \frac{\partial e_{1,2}}{\partial w_{j,1}}  & \cdots \\[0.5em]
%
 \cdots & \cdots & \cdots &
 \cdots & \cdots \\[0.5em]
%
 \frac{\partial e_{1,M}}{\partial w_{1,1}}  & \frac{\partial e_{1,M}}{\partial w_{1,2}} & 
 \cdots & \frac{\partial e_{1,M}}{\partial w_{j,1}}  & \cdots \\[0.5em]
%
 \cdots & \cdots & \cdots &
 \cdots & \cdots \\[0.5em]
%
 \frac{\partial e_{P,1}}{\partial w_{1,1}}  & \frac{\partial e_{P,1}}{\partial w_{1,2}} & 
 \cdots & \frac{\partial e_{P,1}}{\partial w_{j,1}}  & \cdots \\[0.5em]
%
 \frac{\partial e_{P,1}}{\partial w_{1,1}}  & \frac{\partial e_{np,2}}{\partial w_{1,2}} &
 \cdots & \frac{\partial e_{P,2}}{\partial w_{j,1}}  & \cdots \\[0.5em]
%
 \cdots & \cdots & \cdots &
 \cdots & \cdots \\[0.5em]
%
  \frac{\partial e_{P,M}}{\partial w_{1,1}}  & \frac{\partial e_{P,M}}{\partial w_{1,2}} & 
  \cdots & \frac{\partial e_{P,M}}{\partial w_{j,1}}  & \cdots \\[0.5em]
  \end{bmatrix}
  \begin{aligned}
  &\left.\begin{matrix}
  \partialphantom m = 1  \\[0.5em]
  \partialphantom m = 2  \\[0.5em]
  \cdots \\[0.5em]
  \partialphantom m = M  \\[0.5em]
  \end{matrix} \right\} %
  p = 1\\
  &\begin{matrix}
  \\[-1.67em]\phantom{\cdots}\cdots
  \end{matrix}\\ %
  &\left.\begin{matrix}
  \partialphantom m = 1  \\[0.5em]
  \partialphantom m = 2  \\[0.5em]
  \cdots \\[0.5em]
  \partialphantom m = M\\[0.5em]
  \end{matrix}\right\}%
  p = P\\
 \end{aligned}
 \end{matrix}
 \end{equation}

\end{document}

Answer 2

{NiceMatrix}다음은 of를 사용한 솔루션입니다 nicematrix(여러 컴파일이 필요함).

\documentclass{article}
\usepackage{nicematrix}

\begin{document}


\[
 J
 =
 \begin{NiceMatrix}[margin,cell-space-limits=3pt,first-row]
\Block{1-2}{\text{neuron } 1} & & \cdots & \Block{1-2}{\text{neuron } j} \\
 \frac{\partial e_{1,1}}{\partial w_{1,1}}  & \frac{\partial e_{1,1}}{\partial w_{1,2}} &
 & \frac{\partial e_{1,1}}{\partial w_{j,1}} & \frac{\partial e_{1,1}}{\partial w_{j,1}} & \cdots  & m=1 &
 \Block{4-1}{p=1} \\
%
 \frac{\partial e_{1,2}}{\partial w_{1,1}}  & \frac{\partial e_{1,2}}{\partial w_{1,2}} & 
 \cdots & \frac{\partial e_{1,2}}{\partial w_{j,1}}  & \cdots & & m=2\\
%
 \cdots & \cdots & & \cdots &
 \cdots & & \cdots \\
%
 \frac{\partial e_{1,M}}{\partial w_{1,1}}  & \frac{\partial e_{1,M}}{\partial w_{1,2}} & 
 \cdots & \frac{\partial e_{1,M}}{\partial w_{j,1}}  & \cdots & & m=M\\
%
 \cdots & \cdots & \cdots &
 \cdots & \cdots & & \cdots \\
%
 \frac{\partial e_{P,1}}{\partial w_{1,1}}  & \frac{\partial e_{P,1}}{\partial w_{1,2}} & 
 \cdots & \frac{\partial e_{P,1}}{\partial w_{j,1}}  & \cdots & & m=1 & \Block{4-1}{p=P}\\
%
 \frac{\partial e_{P,1}}{\partial w_{1,1}}  & \frac{\partial e_{np,2}}{\partial w_{1,2}} &
 \cdots & \frac{\partial e_{P,2}}{\partial w_{j,1}}  & \cdots & & m=2\\
%
 \cdots & \cdots & \cdots &
 \cdots & \cdots & & \cdots \\
%
  \frac{\partial e_{P,M}}{\partial w_{1,1}}  & \frac{\partial e_{P,M}}{\partial w_{1,2}} & 
  \cdots & \frac{\partial e_{P,M}}{\partial w_{j,1}}  & \cdots & & m = M\\
\CodeAfter
  \SubMatrix[{1-1}{9-6}]
  \SubMatrix{.}{1-7}{4-7}{\}}
  \SubMatrix{.}{6-7}{9-7}{\}}
\end{NiceMatrix}\]

\end{document}

Answer 3

나는 당신의 매트릭스를 사용하지 않았지만 내 예가 우리 커뮤니티에 도움이 될 것이라고 생각합니다.

\documentclass{article}
\usepackage{amsmath}

\[
\begin{array}{| c | c | c | c | c | c | c | c | c | c |}
\multicolumn{3}{c}{\rho_1 } &
\multicolumn{3}{c}{\rho_2} &
\multicolumn{1}{c}{ \ }   & 
\multicolumn{3}{c}{\rho_k} \\
%
\multicolumn{3}{c}{\overbrace{\rule{4cm}{0pt}}} &
\multicolumn{3}{c}{\overbrace{\rule{4cm}{0pt}}} &
\multicolumn{1}{c}{ \ }   & 
\multicolumn{3}{c}{\overbrace{\rule{4cm}{0pt}}} \\[-3pt]
\hline
p(t_1) & \cdots & p^{(\rho_1-1)}(t_1) & p(t_2) & \cdots & 
p^{(\rho_2-1)}(t_2) & \cdots  & p(t_k) & \cdots & 
p^{(\rho_k-1)}(t_k) \\
\hline
\end{array}
\] 

\end{document}

결과: