\documentclass[UTF8,landscape]{ctexart}%UTF8,ctexart中文支持,landscape横向版面
\usepackage{tikz}%画图
\usepackage{geometry}%页边距设置
\geometry{left=0.5cm,right=0.5cm,top=2.5cm,bottom=0.5cm}
\usepackage{fancyhdr}%页头页尾页码设置
\pagestyle{fancy}
\begin{document}
\title{\textbf{《概率论与数理统计》学习图解}}%标题
\author{DencChaohai}%作者
\maketitle
\newpage%重新开始一页
\part{概率论}
\section{逻辑关系图解}
\begin{center}%图形居中
\begin{tikzpicture}[line width=1pt,scale=0.6]%图形缩放0.6倍
\tikzstyle{every node}=[scale=0.6]%文字缩放0.6倍 %定义 \node(编号)at(位置)[属性]{内容}
\node(xx)at(0,0)[draw,align=center]{现象};
\node(qdxxx)at(2,2)[draw,align=center]{确定性现象};
\node(sjxxx)at(2,-2)[draw,align=center]{随机性现象};
\node(gc)at(4,-2+0.5){观察};
\node(sy)at(6,-2)[draw,align=center]{试验};
\node(jg)at(8,-2+0.5){结果};
\node(ybd)at(10,-2)[draw,align=center]{样本点\\$\omega$};
\node(dy)at(10+0.5,-4){单一};
\node(jbsj)at(10,-6)[draw,align=center]{基本事件};
\node(hs)at(10+0.5,-8){函数};
\node(sjbl)at(10,-10)[draw,align=center]{随机变量\\$X=X(\omega)$};
\node(sjxl)at(10,-14)[draw,align=center]{随机向量\\$\vec{X}=\{X_1,X_2,\dots\}$};
\node(qt)at(12,-2+0.5){全体};
\node(fh)at(12,-6+0.5){复合};
\node(ybkj)at(14,-2)[draw,align=center]{样本空间\\$\Omega=\{\omega|\dots\}$};
\node(zj)at(14+0.5,-4){子集};
\node(sj)at(14,-6)[draw,align=center]{事件\\$A,B,\dots$};
\node(cd)at(14+0.5,-8){测度};
\node(gl)at(14,-10)[draw,align=center]{概率\\$P(A)$};
\node(dj)at(16,-6+0.5){等价};
\node(jh)at(18,-6)[draw,align=center]{集合};
\node(fbhs)at(18,-10)[draw,align=center]{分布函数\\$F(x)=P\{X\leq x\}$}; %连线 \draw[箭头](始点)--(终点) \draw[->](xx)--(qdxxx);
\draw[->](xx)--(sjxxx);
\draw[->](sjxxx)--(sy);
\draw[->](ybd)--(jbsj);
\draw[->](sy)--(ybd);
\draw[->](ybd)--(ybkj);
\draw[->](jbsj)--(sjbl);
\draw[->](ybkj)--(sj);
\draw[->](sj)--(gl);
\draw[->](jbsj)--(sj);
\draw[->](sjbl)--(sjxl);
\draw[->](sj)--(jh);
\draw[->](sjbl)--(gl);
\draw[->](gl)--(fbhs); \end{tikzpicture}
\end{center}
\newpage
\section{随机变量图解}
\newpage
\section{随机向量图解}
\end{document}

\documentclass[tikz]{standalone}
\usepackage{xcolor}
\usetikzlibrary{mindmap}
\definecolor{DeepSkyBlue4}{RGB}{0,104,139}
\begin{document}
\tikzstyle{level 2 concept}+=[sibling angle=40]
\begin{tikzpicture}[scale=0.49, transform shape]
\path[mindmap,concept color=black,text=white]
node[concept] {Pure Mathematics} [clockwise from=45]
child[concept color=DeepSkyBlue4]{
node[concept] {Analysis} [clockwise from=180]
child {
node[concept] {Multivariate \& Vector Calculus}
[clockwise from=120]
child {node[concept] {ODEs}}}
child { node[concept] {Functional Analysis}}
child { node[concept] {Measure Theory}}
child { node[concept] {Calculus of Variations}}
child { node[concept] {Harmonic Analysis}}
child { node[concept] {Complex Analysis}}
child { node[concept] {Stochastic Analysis}}
child { node[concept] {Geometric Analysis}
[clockwise from=-40]
child {node[concept] {PDEs}}}}
child[concept color=black!50!green, grow=-40]{
node[concept] {Combinatorics} [clockwise from=10]
child {node[concept] {Enumerative}}
child {node[concept] {Extremal}}
child {node[concept] {Graph Theory}}}
child[concept color=black!25!red, grow=-90]{
node[concept] {Geometry} [clockwise from=-30]
child {node[concept] {Convex Geometry}}
child {node[concept] {Differential Geometry}}
child {node[concept] {Manifolds}}
child {node[concept,color=black!50!green!50!red,text=white] {Discrete Geometry}}
child {
node[concept] {Topology} [clockwise from=-150]
child {node [concept,color=black!25!red!50!brown,text=white]
{Algebraic Topology}}}}
child[concept color=brown,grow=140]{
node[concept] {Algebra} [counterclockwise from=70]
child {node[concept] {Elementary}}
child {node[concept] {Number Theory}}
child {node[concept] {Abstract} [clockwise from=180]
child {node[concept,color=red!25!brown,text=white] {Algebraic Geometry}}}
child {node[concept] {Linear}}}
node[extra concept,concept color=black] at (200:5) {Applied Mathematics}
child[grow=145,concept color=black!50!yellow] {
node[concept] {Probability} [clockwise from=180]
child {node[concept] {Stochastic Processes}}}
child[grow=175,concept color=black!50!yellow] {node[concept] {Statistics}}
child[grow=205,concept color=black!50!yellow] {node[concept] {Numerical Analysis}}
child[grow=235,concept color=black!50!yellow] {node[concept] {Symbolic Computation}};
\end{tikzpicture}
\end{document}

    • 综合
    • \documentclass{article}
      \usepackage{tikz}
      \begin{document}
      \begin{tikzpicture}
      \node{1}
      child{
      node{2}
      child{
      node{3}
      }
      child{
      node(4)at(4,4)[draw]{4}
      child{
      node{5}
      }
      }
      };
      \end{tikzpicture}
      \end{document}
       

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