\CD 环境中的空白箭头

\CD 环境中的空白箭头

我正在制作一个 DAG/图表,它最终应该看起来像两个正方形共用一个角。我在将代码推进到以“%”开头的最后两行时遇到了麻烦:

$\CD
(0,0) @         >1/2>>       (1,0) @>1/3>>           (2,0) @.                  @.                  @.                  @.                 \\
      @V 1/2 VV                    @V2/3 VV                @V1 VV              @.                  @.                  @.            @.   \\
(1,1) @         >2/3>>       (2,1) @>1/2>>           (3,1) @.                  @.                  @.                  @.                 \\
      @V 1/3 VV                    @V1/2 VV                @V1 VV              @.                  @.                  @.            @.   \\  
(2,2) @         > 1 >>       (3,2) @>1/2>>           (4,2) @>1/2>>        (5,2)@>1/3>>        (6,2)@.                  @.                 \\
%     @.                           @.                      @V1/2VV             @V2/3VV             @V1 VV              @.            @.   \\
%     @.                           @.                (5,3) @>2/3>>        (6,3)@>1/2>>        (7,3)@.                  @.
\endCD
$

任何帮助,将不胜感激。

答案1

当您简单加载时,环境CD并未预先定义amsmath。您还需要加载amscd

也用\begin{CD}\end{CD}来包围身体,而不是\CD\endCD

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

\begin{document}

\[
\begin{CD}
(0,0) @         >1/2>>       (1,0) @>1/3>>           (2,0) @.                  @.                  @.                  @.                 \\
      @V 1/2 VV                    @V2/3 VV                @V1 VV              @.                  @.                  @.            @.   \\
(1,1) @         >2/3>>       (2,1) @>1/2>>           (3,1) @.                  @.                  @.                  @.                 \\
      @V 1/3 VV                    @V1/2 VV                @V1 VV              @.                  @.                  @.            @.   \\  
(2,2) @         > 1 >>       (3,2) @>1/2>>           (4,2) @>1/2>>        (5,2)@>1/3>>        (6,2)@.                  @.                 \\
      @.                           @.                      @V1/2VV             @V2/3VV             @V1 VV              @.            @.   \\
      @.                           @.                (5,3) @>2/3>>        (6,3)@>1/2>>        (7,3)@.                  @.
\end{CD}
\]

\end{document}

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您可能想要切换到更现代、更强大的tikz-cd软件包:

\documentclass{article}
\usepackage{amsmath,tikz-cd}
\begin{document}

\[
\begin{tikzcd}[row sep=2.5em]
% first row
(0,0) \arrow[r,"1/2"] \arrow[d,"1/2"'] &
(1,0) \arrow[r,"1/3"] \arrow[d,"2/3"'] &
(2,0) \arrow[d,"1"'] \\
% second row
(1,1) \arrow[r,"2/3"] \arrow[d,"1/3"'] &
(2,1) \arrow[r,"1/2"] \arrow[d,"1/2"'] &
(3,1) \arrow[d,"1"'] \\
% third row
(2,2) \arrow[r,"1"] &
(3,2) \arrow[r,"1/2"] &
(4,2) \arrow[r,"1/2"] \arrow[d,"1/2"'] &
(5,2) \arrow[r,"1/3"] \arrow[d,"2/3"'] &
(6,2) \arrow[d,"1"'] \\
% fourth row
& &
(5,3) \arrow[r,"2/3"] &
(6,3) \arrow[r,"1/2"] &
(7,3)
\end{tikzcd}
\]

\end{document}

标签'关闭后的意思是“交换标签的默认位置”。"

在此处输入图片描述

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