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}
egin{document}
itle{ extbf{《概率论与数理统计》学习图解}}%标题
author{DencChaohai}%作者
maketitle
ewpage%重新开始一页
part{概率论}
section{逻辑关系图解}
egin{center}%图形居中
egin{tikzpicture}[line width=1pt,scale=0.6]%图形缩放0.6倍
ikzstyle{every node}=[scale=0.6]%文字缩放0.6倍
%定义
ode(编号)at(位置)[属性]{内容}
ode(xx)at(0,0)[draw,align=center]{现象};
ode(qdxxx)at(2,2)[draw,align=center]{确定性现象};
ode(sjxxx)at(2,-2)[draw,align=center]{随机性现象};
ode(gc)at(4,-2+0.5){观察};
ode(sy)at(6,-2)[draw,align=center]{试验};
ode(jg)at(8,-2+0.5){结果};
ode(ybd)at(10,-2)[draw,align=center]{样本点\$omega$};
ode(dy)at(10+0.5,-4){单一};
ode(jbsj)at(10,-6)[draw,align=center]{基本事件};
ode(hs)at(10+0.5,-8){函数};
ode(sjbl)at(10,-10)[draw,align=center]{随机变量\$X=X(omega)$};
ode(sjxl)at(10,-14)[draw,align=center]{随机向量\$vec{X}={X_1,X_2,dots}$};
ode(qt)at(12,-2+0.5){全体};
ode(fh)at(12,-6+0.5){复合};
ode(ybkj)at(14,-2)[draw,align=center]{样本空间\$Omega={omega|dots}$};
ode(zj)at(14+0.5,-4){子集};
ode(sj)at(14,-6)[draw,align=center]{事件\$A,B,dots$};
ode(cd)at(14+0.5,-8){测度};
ode(gl)at(14,-10)[draw,align=center]{概率\$P(A)$};
ode(dj)at(16,-6+0.5){等价};
ode(jh)at(18,-6)[draw,align=center]{集合};
ode(fbhs)at(18,-10)[draw,align=center]{分布函数\$F(x)=P{Xleq 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}
ewpage
section{随机变量图解}
ewpage
section{随机向量图解}
end{document}
documentclass[tikz]{standalone}
usepackage{xcolor}
usetikzlibrary{mindmap}
definecolor{DeepSkyBlue4}{RGB}{0,104,139}
egin{document}
ikzstyle{level 2 concept}+=[sibling angle=40]
egin{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}