绘制凸关系图

Question

如何在 LaTeX 中绘制上述图表？使用 TikZ 吗？请帮帮我。

Answer 1

因为你想要tikz-cd：

\documentclass{article}
\usepackage{tikz-cd}
\usepackage{amsmath}
\begin{document}
\[
\begin{tikzcd}[
    row sep=large,
    column sep=large,
    arrows={Rightarrow}
    ]
\text{strict convexity}\ar[r]\ar[d,"\text{(under differentiability)}" description]  & \text{convexity}\ar[d,"\text{(under differentiability)}" description] \\
\text{strict pseudoconvexity}\ar[d]\ar[r] &  \text{pseudoconvexity}\ar[d] \\
\text{strict quasiconvexity}\ar[r] &  \text{quasiconvexity} \\
\end{tikzcd}
\]
\end{document}

Answer 2

一定要用 TikZ 吗？也许一个简单的表格就足够了：

\documentclass{article}
\usepackage{amsmath}
\begin{document}
\begin{tabular}{c c c}
strict convexity & $\Rightarrow$ & convexity \\
$\Downarrow$ & & $\Downarrow$ \\
strict  & $\Rightarrow$ & convex \\
\end{tabular}
\end{document}

Answer 3

您可以使用以下简单的方法获得该图表tabular：

\documentclass{article}

\usepackage{amsmath}
\usepackage{makecell}

\begin{document}

\renewcommand{\arraystretch}{0.8}
\begin{tabular}{r@{}c@{}l}
  strict convexity & $\implies $ & convexity \\
\makecell{$\Vert$} & & \makecell{$\Vert\qquad$} \\
\multicolumn{1}{r@{}}{\footnotesize (under differentiability)} & & \multicolumn{1}{@{}l}{\rlap{\footnotesize (under differentiability)}}\\[-0.4ex]
\makecell{$\Downarrow$} & & \makecell{$\Downarrow\qquad$} \\
strict pseudoconvexity & $\implies $ & pseudoconvexity \\[-0.4ex]
\makecell{$\Downarrow$} & & \makecell{$\Downarrow\qquad$} \\
strict quasiconvexity & $\implies $ & quasiconvexity
\end{tabular}

\end{document} 

Answer 4

这是您想要的草图。箭头在 \draw 标签中定义，因此您可以在其中的某处更改样式。祝您好运！

\usepackage{tikz}
\usetikzlibrary{shapes,arrows}
\usetikzlibrary{positioning}

    \begin{tikzpicture}[thick]
        \node(sc){Strict Convexivity};
        \node[below = 1cm of sc](ud){(Under differentiability)};
        \node[below = 1cm of ud](sp){strict pseudoconvexivity};
        \node[below = 1cm of sp](sq){Strict quasiconvexivity};

        \draw[-latex] (sc.south) -- (ud.north);
        \draw[-latex] (ud.south) -- (sp.north);
        \draw[-latex] (sp.south) -- (sq.north);

        \node[right = 4cm of sc] (c){Convexivity};
        \node[below = 1cm of c](ud2){(Under differentiability)};
        \node[below = 1cm of ud2](p){strict pseudoconvexivity};
        \node[below = 1cm of p](q){Strict quasiconvexivity};

        \draw[-latex] (c.south) -- (ud2.north);
        \draw[-latex] (ud2.south) -- (p.north);
        \draw[-latex] (p.south) -- (q.north);    

        \draw[-latex] (sc.east) -- (c.west);
        \draw[-latex] (sp.east) -- (p.west);
        \draw[-latex] (sq.east) --  (q.west);      

  \end{tikzpicture}

节点

[低于 = sc 1cm] 将此节点定位在标记为 sc 的节点下方 1cm 处

（ud）将当前节点的标签设置为ud

{(在可微分性下)} 将当前节点的文本设置为“(在可微分性下)”

\node[below = 1cm of sc](ud){(Under differentiability)};

线条

这将从标记为 c 的节点的底部（南）到标记为 ud2 的节点的顶部（北）绘制一个箭头。

\draw[-latex] (c.south) -- (ud2.north);