AIGrounding/Diagram-MMU huggingface dataset:
\documentclass[tikz,border=5pt]{standalone}
\usepackage{tikz}
\begin{document}
\begin{tikzpicture}
\draw (0,0) circle(4);
\draw (0,0) circle(2.08);
\draw[dotted] (0,0) circle(0.8);
\draw (0,-0.1)--(0,0.1);
\draw (-0.1, 0)--(0.1, 0);
\draw [blue, domain=1.04:2, samples=40]
plot ({2*\x*(sin(pi*(2-\x) r))}, {2*(\x)*(cos(pi*(2-\x) r))});
\draw [blue, domain=1.04:2, samples=40]
plot ({-2*\x*(sin(pi*(2-\x) r))}, {2*(\x)*(cos(pi*(2-\x) r))});
\draw [blue, domain=0:1.04, samples=40]
plot ({2*\x*(sin((pi-0.12*\x) r))}, {2*(\x)*(cos((pi-0.12*\x) r))});
\draw [blue, domain=0:1.04, samples=40]
plot ({-2*\x*(sin((pi-(0.12*\x)) r))}, {2*(\x)*(cos((pi-(0.12*\x)) r))});
\draw [red, domain=1.04:2, samples=40]
plot ({2*\x*(sin((pi*(2-\x)-0.6*\x*(2-\x)/2) r))}, {2*(\x)*(cos((pi*(2-\x)-0.6*\x*(2-\x)/2) r))});
\draw [red, domain=1.04:2, samples=40]
plot ({-2*\x*(sin((pi*(2-\x)-0.6*\x*(2-\x)/2) r))}, {2*(\x)*(cos((pi*(2-\x)-0.6*\x*(2-\x)/2) r))});
\draw [red, domain=0:1.04, samples=40]
plot ({2*\x*(sin((pi-0.12*\x-0.6*\x/2) r))}, {2*(\x)*(cos((pi-0.12*\x-0.6*\x/2) r))});
\draw [red, domain=0:1.04, samples=40]
plot ({-2*\x*(sin((pi-(0.12*\x)-0.6*\x/2) r))}, {2*(\x)*(cos((pi-(0.12*\x)-0.6*\x/2) r))});
\node at (1,1) {$A_1$};
\node at (3.3,1) {$W$};
\node at (1,3) {$A_2$};
\node at (1,-3) {$D_2$};
\draw (0.3,-1.7)--(4,3.8);
\draw (2.55,-0.9)--(5,3);
\draw (0,-1.7)--(-5,3);
\node at (4.2,3.8) {$B$};
\node at (5.25,3) {$C$};
\node at (-5.3,3) {$D_1$};
\end{tikzpicture}
\end{document}
\documentclass[tikz,border=5pt]{standalone}
\usepackage{amsmath,amsfonts,amssymb,url}
\usepackage[table]{xcolor}
\usepackage{tikz}
\usepgflibrary{shapes}
\begin{document}
\begin{tikzpicture}[every node/.style={draw=black,circle}, minimum size=2em]
\node (3) at (3, -0.25) {4};
\node (4) at (4.25, -0.25) {5};
\node (5) at (4.25, 1) {1};
\node (6) at (5.5, 1) {2};
\node (7) at (5.5, -0.25) {6};
\node (8) at (5.5, -1.5) {9};
\node (9) at (6.75, -0.25) {7};
\node (10) at (6.75, 1) {3};
\node (11) at (8, -0.25) {8};
\node (13) at (4.75, -2.75) {10};
\node (18) at (6.25, -2.75) {11};
\draw (3) to (4);
\draw (4) to (8);
\draw (8) to (13);
\draw (8) to (18);
\draw (9) to (8);
\draw (7) to (8);
\draw (4) to (7);
\draw (7) to (9);
\draw (9) to (11);
\draw (10) to (9);
\draw (10) to (6);
\draw (6) to (7);
\draw (5) to (4);
\draw (5) to (6);
\draw (13) to (18);
\end{tikzpicture}
\end{document}
\documentclass{standalone}
\usepackage{tikz}
\newcommand{\wave}[3]{#2*#2/(cosh(#2*(#1-#3)+ln(#2))*cosh(#2*(#1-#3)+ln(#2)))}
\newcommand{\drawwave}[2]{\fill[samples=200,blue,domain={#1-4/#2:#1+4/#2}
]plot(\x,{\wave{\x}{#2}{#1}});
\draw[->,green](#1,{\wave{#1}{#2}{#1}})--(#1+5*#2,{\wave{#1}{#2}{#1}});
}
\begin{document}
\begin{tikzpicture}[xscale=.2]
\draw[blue](0,0)--(60,0);
\drawwave{10}{0.5}\drawwave{25}{1.5}\drawwave{45}{1}\drawwave{35}{2}
\end{tikzpicture}
\end{document}
\documentclass[border=5pt]{standalone}
\usepackage[T1]{fontenc}
\usepackage[utf8]{inputenc}
\usepackage{lmodern}
\usepackage[siunitx, RPvoltages]{circuitikz}
\usepackage{siunitx}
\begin{document}
\begin{circuitikz}[european]

\draw (0,0) to[battery2, l=E] ++(0,4.5)
-- ++(2,0) coordinate(tmp)
to[vR, l2_=$P_1$ and \SI{10}{\kohm}, mirror,
invert, name=P]
(0,0-|tmp) -- (0,0);


\draw (0,0-|tmp) -- ++(1.5,0)
to[R=$R_1$, -*] ++(0,2) coordinate(p)
|- (P.wiper);


\draw (p) to[rmeterwa, t=V] (tmp-|p) -- (tmp);
\end{circuitikz}
\end{document}
\documentclass[border=5pt]{standalone}
\usepackage{amsmath,amssymb}
\usepackage{tikz}
\usetikzlibrary{datavisualization, datavisualization.formats.functions}
\begin{document}
\tikz \datavisualization data group {sin functions} = { data [format=function] { var set : {1,...,8};
var x : interval [0:50];
func y = sin(\value x * (\value{set}+10))/(\value{set}+5);
} };
\tikz \datavisualization [visualize as smooth line/.list={1,2,3,4,5,6,7,8}, scientific axes=clean, y axis={ticks={style={/pgf/number format/fixed, /pgf/number format/fixed zerofill, /pgf/number format/precision=2}}}, x axis={ticks={tick suffix=${}^\circ$}}, 1={label in legend={text=$\frac{1}{6}\sin 11x$}}, 2={label in legend={text=$\frac{1}{7}\sin 12x$}}, 3={label in legend={text=$\frac{1}{8}\sin 13x$}}, 4={label in legend={text=$\frac{1}{9}\sin 14x$}}, 5={label in legend={text=$\frac{1}{10}\sin 15x$}}, 6={label in legend={text=$\frac{1}{11}\sin 16x$}}, 7={label in legend={text=$\frac{1}{12}\sin 17x$}}, 8={label in legend={text=$\frac{1}{13}\sin 18x$}}, style sheet=shades of red] data group {sin functions};
\end{document}
\documentclass[tikz]{standalone}
\usepackage{pgfplots}
\pgfplotsset{compat=newest}
\begin{document}
\begin{tikzpicture}
\begin{axis}[grid,xmin=-10,xmax=10,ymin=-10,ymax=10,samples=300]
\addplot[domain=-10:10]{(x*x+x-6)/(x*x-3*x-10)};
\end{axis}
\end{tikzpicture}
\end{document}
\documentclass[tikz,border=5pt]{standalone}
\usepackage{pgfplots}
\pgfplotsset{compat=1.18}
\begin{document}
\begin{tikzpicture}
\begin{axis}[
    title=Interrupted data plot,
    unbounded coords=jump,
]
\addplot coordinates {
    (0,0) (10,50) (20,100) (30,200)
    (40, nan) 
    (50,600) (60,800) (80,1000)
};
\end{axis}
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\documentclass[12pt,border=2mm,tikz]{standalone}
\usepackage{tikz-3dplot}
\usetikzlibrary{calc,backgrounds,intersections}
\begin{document}
\tdplotsetmaincoords{60}{110}
\begin{tikzpicture}[tdplot_main_coords,
declare function={dicri(\t,\th,\ph,\R)=
sin(\th)*sin(\ph)*(2+\R*cos(\t)*1/sqrt(2)+\R*sin(\t)*1/sqrt(18))-
sin(\th)*cos(\ph)*(-2+\R*cos(\t)*1/sqrt(2)-\R*sin(\t)*1/sqrt(18))+
cos(\th)*(1-4*\R*sin(\t)*1/sqrt(18));}]
\path
coordinate (T) at (3,-3,3)
coordinate (I) at (1,-1,2);
\foreach \v/\position in {T/above,I/below} {
\draw[fill=black] (\v) circle (0.7pt) node [\position=0.2mm] {$\v$};
}
\begin{scope}[tdplot_screen_coords, on background layer]
\pgfmathsetmacro{\R}{5}
\fill[ball color=purple, opacity=1.0] (I) circle (\R);
\path[overlay,name path=dicri] plot[variable=\x,domain=0:360,samples=73]
({\x*1pt},{dicri(\x,\tdplotmaintheta,\tdplotmainphi,4)});
\path[overlay,name path=zero] (0,0) -- (360pt,0);
\path[name intersections={of=dicri and zero,total=\t}]
let \p1=(intersection-1),\p2=(intersection-2) in
\pgfextra{\xdef\xmin{\x1}\xdef\xmax{\x2}};
\end{scope}
\pgfmathsetmacro{\R}{4}
\draw[dashed] plot[variable=\t,domain=\xmin:\xmax,samples=73,smooth]
({1+2+\R*cos(\t)*1/sqrt(2)+\R*sin(\t)*1/sqrt(18)},
{-1-2+\R*cos(\t)*1/sqrt(2)-\R*sin(\t)*1/sqrt(18)},
{2+1-4*\R*sin(\t)*1/sqrt(18)});
\draw[thick] plot[variable=\t,domain=\xmax:\xmin+360,samples=73,smooth]
({1+2+\R*cos(\t)*1/sqrt(2)+\R*sin(\t)*1/sqrt(18)},
{-1-2+\R*cos(\t)*1/sqrt(2)-\R*sin(\t)*1/sqrt(18)},
{2+1-4*\R*sin(\t)*1/sqrt(18)});
\end{tikzpicture}
\end{document}
\documentclass[tikz,border=5pt]{standalone}
\usepackage{pgfplots}
\pgfplotsset{compat=1.18}
\usepgfplotslibrary{dateplot}
\begin{document}
\begin{tikzpicture}
\begin{axis}[
date coordinates in=x,
xtick=data,
xticklabel style={
rotate=90,
anchor=near xticklabel
},
xticklabel=\day. \hour:\minute,
]
\addplot coordinates {
(2009-08-18 09:00, 050)
(2009-08-18 12:00, 100)
(2009-08-18 15:00, 100)
(2009-08-18 18:35, 100)
(2009-08-18 21:30, 040)
(2009-08-19, 020)
(2009-08-19 3:00, 000)
(2009-08-19 6:0, 035)
};
\end{axis}
\end{tikzpicture}
\end{document}
\documentclass[tikz,border=3.14mm]{standalone}
\usepackage{tikz-3dplot}
\usetikzlibrary{3d,fpu}
\begin{document}
\tdplotsetmaincoords{110}{-30}
\begin{tikzpicture}[binom tree/.style={insert path={foreach\X in{1,...,#1}{foreach\Y in{1,...,\X}{(\X,\Y-\X/2)--(\X+1,\Y+1/2-\X/2)(\X,\Y-\X/2)--(\X+1,\Y-1/2-\X/2)}}}},tdplot_main_coords]
\begin{scope}[canvas is xy plane at z=0,scale=0.5]\draw[blue,binom tree=15];
\end{scope}\tdplotsetrotatedcoords{0}{0}{0}
\begin{scope}[tdplot_rotated_coords,declare function={binom(\k,\n,\p)=\n!/(\k!*(\n-\k)!)*\p^\k*(1-\p)^(\n-\k);
}]
\begin{scope}[canvas is yz plane at x=4,scale=0.5]
\pgfkeys{/pgf/fpu,/pgf/fpu/output format=fixed}\pgfmathsetmacro{\Z}{4*binom(0,8,0.5)}\xdef\lstX{(-3.5,\Z)}\foreach\X in{1,...,8}{\pgfmathsetmacro{\Z}{4*binom(\X,8,0.5)}\xdef\lstX{\lstX (\X-3.5,\Z)}}\draw[red,thick]plot[smooth]coordinates{\lstX};
\end{scope}
\end{scope}
\end{tikzpicture}
\end{document}
\documentclass[tikz,border=5pt]{standalone}
\usepackage[utf8]{inputenc}
\usepackage{amsmath,amssymb,amsthm,mathrsfs,amsfonts,dsfont}
\usepackage{colortbl}
\usepackage{tikz}
\usepackage{color,soul}
\usepackage{tikz-cd}
\usetikzlibrary{cd}
\usepackage{xcolor}
\begin{document}
\begin{tikzpicture}[thick,scale=0.8, every node/.style={scale=0.8}]
\node[draw,circle, fill=black,scale=0.2] (a) {A} ;
\node[inner sep=0,minimum size=0,right of=a] (k) {};
\node[draw,circle,right = 5 cm=k, fill=black,scale=0.2] (b) {B};
\node[draw,circle,below =4.33cm,right=2.5 cm, fill=black, scale=0.2] (c) {C};
\draw[<->,shorten <=9pt,shorten >=9pt] (a) edge node[above] {longitudinal T-duality} (b);
\draw[->,shorten <=9pt,shorten >=9pt] (a) edge node[left] {\,} (c);
\draw[->,shorten <=9pt,shorten >=9pt] (b) edge node[right] {\,} (c);
\filldraw (-1.2, 1.) node[anchor=east] {\bfseries DSNC${}^-$};
\filldraw (-0.5,-0.) node[anchor=east] {$(\tau_{\mu}{}^{A},\,e_{\mu}{}^{A'},\,b_{\mu\nu},\phi)$};
\filldraw (-0.7,-0.9) node[anchor=east] {$\tau_{[\mu}{}^-\partial_\nu^{}\tau_{\rho]}{}^-=0$};
\filldraw (7.2, 1.) node[anchor=east] {\bfseries NS${}_0$};
\filldraw (5.5,-0.) node[anchor=west] {$(\tilde{E}_{\mu}{}^{\hat{A}},\,\tilde{B}_{\mu\nu},\,\tilde{\Phi})$};
\filldraw (5.8,-0.9) node[anchor=west] {$\partial_{[\mu}\tilde Z_{\nu]}=0$};
\filldraw (2.6,-5) node[anchor=center] {$(\tau_i,\, e_{i}{}^{A'},\, m_i, \phi,\, n_i,\, m_{ij})\quad \longleftrightarrow\quad(\tilde\tau_i,\,\tilde e_{i}{}^{A'},\,\tilde m_i,\, \tilde{\phi},\, \tilde{n}_i,\, \tilde{m}_{ij})$};
\filldraw (2.6,-5.9) node[anchor=center] {$\partial_{[i}\tau_{j]} = -\partial_{[i}n_{j]}\quad \longleftrightarrow\quad\partial_{[i}\tilde\tau_{j]} = -\partial_{[i}\tilde n_{j]}$};
\filldraw (5., -6.8) node[anchor=east] {\bfseries Torsional Newton-Cartan};
\filldraw (-6,-4.5) node[anchor=west] {9$D$};
\filldraw (-6,0) node[anchor=west] {10$D$};
\end{tikzpicture}
\end{document}
\documentclass[tikz,border=5pt]{standalone}
\usepackage{pgfplots}
\pgfplotsset{compat=1.18}
\begin{document}
\begin{tikzpicture}
\begin{axis}[
axis x line=bottom,
axis y line=left,
xlabel=$x$,ylabel=$\sqrt{|x|}$,
]
\addplot [
blue,mark=none,
domain=-4:4,samples=501,
] {sqrt(abs(x))};
\end{axis}
\end{tikzpicture}
\end{document}
\documentclass[tikz,border=5pt]{standalone}
\usepackage{tikz}
\usetikzlibrary{positioning,arrows}
\begin{document}
\begin{tikzpicture}[>=stealth,thick]
\node (q0) at (0,0) {$v_0$};
\node (q-1) at (1,0) {$v_{-1}$};
\node (q-2) at (-1.5,0) {$v_{-2}$};
\node (q-3) at (2.5,0) {$v_{-3}$};
\node (q1) [below=0.7cm of q0, xshift=0.5cm] {$v_1$};
\node (lq1) [left=-6pt of q1, font=\scriptsize] {$(3,4)$};
\node (q2) [below=0.5cm of q1, xshift=-1cm] {$v_2$};
\node (lq2) [left=-6pt of q2, font=\scriptsize] {$(3,4)$};
\node (q3) [below=0.5cm of q1, xshift=1cm] {$v_3$};
\node (lq3) [right=-6pt of q3, font=\scriptsize] {$(3,4)$};
\node (q5) [below=0.5cm of q3, xshift=-1cm] {$v_5$};
\node (lq5) [left=-9pt of q5, font=\scriptsize] {$(4,4)$};
\node (q7) [below=0.5cm of q5, xshift=-1cm] {$v_7$};
\node (lq7) [left=-6pt of q7, font=\scriptsize] {$(4,3)$};
\node (q8) [below=0.5cm of q5, xshift=1cm] {$v_8$};
\node (lq8) [right=-6pt of q8, font=\scriptsize] {$(4,3)$};
\node (q9) [below=0.5cm of q8, xshift=-1cm] {$v_9$};
\node (lq9) [left=-6pt of q9, font=\scriptsize] {$(4,2)$};
\node (q10) [below=0.7cm of q9, xshift=-0.5cm] {$v_{10}$};
\node (q11) [below=0.7cm of q9, xshift=0.5cm] {$v_{11}$};
\node (q12) [below=0.7cm of q9, xshift=-2cm] {$v_{12}$};
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\path[->]
(q0) edge node[below=-5pt, xshift=-4pt, font=\scriptsize]{$e_0$} (q1)
(q-1) edge node[below=-5pt, xshift=8pt, font=\scriptsize]{$e_{17}$} (q1)
(q-2) edge node[below=-5pt, xshift=-7pt, font=\scriptsize]{$e_{18}$} (q2) edge node[below=-5pt, xshift=-7pt, font=\scriptsize]{$e_{20}$} (q1)
(q-3) edge node[below=-5pt, xshift=8pt, font=\scriptsize]{$e_{19}$} (q3)
(q1) edge node[below=-4pt, xshift=5pt, font=\scriptsize]{$e_1$} (q2) edge node[below=-4pt, xshift=-5pt, font=\scriptsize]{$e_2$} (q3)
(q2) edge node[left=2pt, xshift=5pt, font=\scriptsize]{$s_1$} (q7) edge node[below=-4pt, xshift=-5pt, font=\scriptsize]{$e_4$} (q5)
(q3) edge node[below=-4pt, xshift=5pt, font=\scriptsize]{$e_5$} (q5) edge node[right=2pt, xshift=-5pt, font=\scriptsize]{$s_2$} (q8)
(q5) edge node[below=-4pt, xshift=5pt, font=\scriptsize]{$e_8$} (q7) edge node[below=-4pt, xshift=-5pt, font=\scriptsize]{$e_9$} (q8)
(q7) edge node[below=-4pt, xshift=-5pt, font=\scriptsize]{$e_{11}$} (q9) edge node[below=-6pt, xshift=-7pt, font=\scriptsize]{$e_{15}$} (q12)
(q8) edge node[below=-4pt, xshift=5pt, font=\scriptsize]{$e_{12}$} (q9) edge node[below=-6pt, xshift=7pt, font=\scriptsize]{$e_{16}$} (q13)
(q9) edge node[below=-6pt, xshift=-7pt, font=\scriptsize]{$e_{13}$} (q10) edge node[below=-6pt, xshift=7pt, font=\scriptsize]{$e_{14}$} (q11);
\end{tikzpicture}
\end{document}
\documentclass[tikz,border=5pt]{standalone}
\usepackage[T1]{fontenc}
\usepackage{amsmath,amsfonts,amssymb,amsthm,enumitem,bbm,xcolor,mathtools}
\usepackage{tikz}
\usepackage[backgroundcolor=green!40]{todonotes}
\begin{document}
\begin{tikzpicture}[xscale=4]
\begin{scope}[yshift=0cm]\node[draw, circle] (a) at (0,0) {$a$};
\node[draw, circle] (b) at (1,0) {$b$};
\node[draw, circle] (c) at (2,0) {$c$};
\draw (a) -- (b) -- (c);
\end{scope}
\end{tikzpicture}
\end{document}
\documentclass[tikz,border=5pt]{standalone}
\usepackage{color,tikz,tikz-qtree,tikz-qtree-compat}
\tikzset{every tree node/.style={align=center,anchor=north}
}
\begin{document}
\begin{tikzpicture}[]
\Tree [.$\wedge$ [.{$P_{\leq .8 } $}\\ ] [.$\vee$ [.{\color{blue}{$P_{\leq .2 } $}}\\ ] [.$\wedge$ [.$\vee$ [.{$P_{\leq .3 } $}\\ ] [.{$Q_{\leq .4 } $}\\ ] [.{$P^{\geq 1. }$}\\ ] ] [.$\vee$ [.$\phi_1$\\ ] ] [.{$Q^{\geq .7 }$}\\ ] ] ] [.{\color{red} {$P^{\geq .7}$}}\\ ] ]
\end{tikzpicture}
\end{document}
\documentclass[tikz,border=5pt]{standalone}
\usepackage{amsmath}
\usepackage{xcolor}
\usepackage{tikz}
\usetikzlibrary{shapes.geometric, arrows.meta}
\tikzset{
-Latex,
auto,
node distance = 1cm and 1cm,
semithick,
state/.style = {ellipse, draw, minimum width = 0.7cm},
square/.style = {regular polygon, regular polygon sides=4}
}
\newcommand{\myassetnode}[5]{
\node[state,circle] (#1) at (#2,#3) {#4};
\node[state,square,scale=0.5, fill=white] (#1asset) at (#2+0.3, #3-0.3) {#5};
}
\newcommand{\mynode}[4]{\node[state,circle] (#1) at (#2,#3) {#4};}
\begin{document}
\begin{tikzpicture}
\myassetnode{m0}{3}{7}{$m_0$}{$2$}
\mynode{m1}{0}{7}{$m_1$}
\mynode{m2}{0}{5}{$m_2$}
\mynode{m3}{0}{3}{$m_3$}
\myassetnode{S}{3}{9}{$s$}{$2$}
\node[state] (in) at (0,10) {in};
\node[state] (out) at (3,1.8) {out};
\path (m0) edge node {$2@[1,3]$} (out);
\path (S) edge node {$2@3$} (m0);
\path (m0) edge node {$1@[2,3]$} (m1);
\path (m0) edge node {$1@[1,3]$} (m2);
\path (m1) edge node[left] {$1@[1,2]$} (m2);
\path (m2) edge node[left] {$1@1$} (m3);
\path (in) edge node {$1@[1,3]$} (m1);
\node[draw=blue, dotted, thick, minimum width=180pt, minimum height=200pt, inner sep=1cm] at (1.6,5.95) (gadget) {};
\node[state, rectangle, fill=white] (label) at (1.8,9.45) {$*2$};
\end{tikzpicture}
\end{document}
\documentclass[border=5pt]{standalone}
\usepackage{tikz}
\tikzset{
help lines/.style={gray,very thin}
}
\begin{document}
\begin{tikzpicture}
\draw [help lines] (0,0) grid (3,2);
\draw [blue, thick, x=0.0085cm, y=1cm,
declare function={
sines(\t,\a,\b)=1 + 0.5*(sin(\t)+sin(\t*\a)+sin(\t*\b));
}]
plot [domain=0:360, samples=144, smooth] (\x,{sines(\x,3,5)});
\end{tikzpicture}
\end{document}
\documentclass[tikz,border=5pt]{standalone}
\usepackage{colortbl}
\usepackage{xcolor}
\usepackage{pgfplots}
\pgfplotsset{width=12cm,compat=1.15}
\begin{document}
\begin{tikzpicture}
\begin{axis}[ybar,symbolic x coords={Yes,No},width=.3\textwidth,height=7cm,ymin=0,xtick=data,ylabel=Count,nodes near coords, nodes near coords align={vertical},enlarge x limits=0.5]\addplot coordinates{(Yes,41)(No,10)};
\end{axis}
\end{tikzpicture}
\end{document}
\documentclass[border=5pt]{standalone}
\usepackage{tikz}
\usetikzlibrary{graphs}
\begin{document}
\tikz \graph [branch down=5mm] {
{ [number nodes]
a -> {
b -> {c, c},
b -> {c, c},
b -> {c, c},
}
},
b 2 -- b 5
};
\end{document}
\documentclass[12pt]{standalone}
\usepackage{amsmath}
\usepackage{tikz}
\usetikzlibrary{arrows}
\begin{document}
\begin{tikzpicture}[scale=2.8]
\fill[gray!40] (0,0)--(1,0)--(1,0.5)--(0.5,1)--(0,1)--cycle;
\draw[thin][->] (0,0)node[left]{$O$} --(1.15,0) node[right]{$\frac{1}{p_1}$};
\draw[thin][->] (0,0) --(0,1.15) node[above]{$\frac{1}{p_2}$};
\draw[dotted] (0,1)--(1,1);
\draw[dotted] (1,0)--(1,1);
\draw[black] (1,0.5)--(0.5,1);
\filldraw [black] (1,0)node[below]{(1,0)};
\filldraw [black] (1,0.5)node[right]{$V_1(1,\frac{1}{2})$};
\filldraw [black] (0.5,1)node[above]{$V_2(\frac{1}{2},1)$};
\node at (1,0.5) {$\circ$};
\node at (0.5,1) {$\circ$};
\filldraw [black] (0,1)node[left]{(0,1)};
\end{tikzpicture}
\end{document}
\documentclass[border=5pt]{standalone}
\usepackage[T1]{fontenc}
\usepackage{lmodern}
\usepackage{amsmath,amssymb}
\usepackage{tikz}
\usetikzlibrary{
graphs,
graphs.standard
}
\begin{document}
\tikz \graph [color class=red, color class=green,
math nodes, clockwise, n=5] {
[complete bipartite={red}{green}]
{ [red] r_1, r_2 },
{ [green] g_1, g_2, g_3 }
};
\end{document}
\documentclass[tikz, border=2pt]{standalone}
\usetikzlibrary{decorations.markings}
\begin{document}
\begin{tikzpicture}
\coordinate (Base1) at (0,0);
\coordinate (Base2) at (4,0);
\coordinate (Base3) at (5,2);
\coordinate (TopPt) at (2,5);
\draw [draw=black, every edge/.append style={draw=black, dashed}]
(Base1) -- (Base2) -- (Base3)
(Base3) edge (Base1);
\draw [draw=black, every edge/.append style={draw=black, dashed}]
(TopPt) -- node[sloped] {$\parallel$} (Base1)
(TopPt) -- node[sloped] {$\parallel$} (Base2)
(TopPt) -- node[sloped] {$\parallel$} (Base3);
\end{tikzpicture}
\end{document}
\documentclass{standalone}
\usepackage{tikz}
\usetikzlibrary{mindmap}
\begin{document}
\begin{tikzpicture}[small mindmap, outer sep=0pt, text=black]
\begin{scope}[concept color=brown!30]
\node (right) at (2,0) [concept] {Right}
[clockwise from=70]
child { node[concept] {R.1} }
child { node[concept] {R.2} }
;
\end{scope}
\begin{scope}[concept color=green!40!black!30]
\node (left) at (-2,0) [concept] {Left}
[counterclockwise from=210]
child { node[concept] {L.1} }
child { node[concept] {L.2} }
;
\end{scope}
\path (left) to[circle connection bar switch color=from (green!40!black!30) to (brown!30)] (right) ;
\end{tikzpicture}
\end{document}
\documentclass[tikz,border=5pt]{standalone}
\usepackage{amsmath,amsthm,amsfonts,amssymb,amscd, amsxtra}
\usepackage{centernot,tikz}
\usepackage{xcolor}
\begin{document}
\begin{tikzpicture}
\draw[orange, very thick](5,-.3)--(5,.3);
\filldraw(5,-.3) node[anchor=west] {$\alpha_1$};
\draw[very thick] (-5,0)--(5,0);
\filldraw [gray] (0,0) circle (2.5pt);
\filldraw(0,-.3) node[anchor=north] {$\alpha$};
\draw [orange, very thick](-5,-.3)--(-5,.3);
\filldraw(-5,-.3) node[anchor=east] {$\beta_1$};
\draw (4,-.2)--(4,.2) node[anchor=south] {$\alpha_2$};
\filldraw(2.7,-.3) node[anchor=north] {Finitely many};
\draw (2.2,-.2)--(2.2,.2) node[anchor=south] {$.$};
\draw (3,-.2)--(3,.2) node[anchor=south] {$.$};
\draw (3.5,-.2)--(3.5,.2) node[anchor=south] {$\alpha_3$};
\draw (2,-.2)--(2,.2) node[anchor=south] {$.$};
\draw (1,-.2)--(1,.2) node[anchor=south] {$\alpha_{n-1}$};
\draw (.3,-.2)--(.3,.2) node[anchor=south] {$\alpha_n$};
\draw (-.11,-.2)--(-.11,.2);
\draw (-.15,-.2)--(-.15,.2);
\draw (-.21,-.2)--(-.21,.2);
\draw (-.28,-.2)--(-.28,.2);
\draw (-.37,-.2)--(-.37,.2);
\draw (-.47,-.2)--(-.47,.2);
\draw (-.58,-.2)--(-.58,.2);
\draw (-.7,-.2)--(-.7,.2);
\draw (-.83,-.2)--(-.83,.2);
\draw (-.97,-.2)--(-.97,.2);
\draw (-1.12,-.2)--(-1.12,.2)node[anchor=south] {$.$};
\draw (-1.28,-.2)--(-1.28,.2)node[anchor=south] {$.$};
\draw (-1.45,-.2)--(-1.45,.2)node[anchor=south] {$.$};
\draw (-1.63,-.2)--(-1.63,.2)node[anchor=south] {$.$};
\draw (-1.82,-.2)--(-1.82,.2) node[anchor=south] {$.$};
\draw (-2.02,-.2)--(-2.02,.2) node[anchor=south] {$.$};
\draw (-2.5,-.2)--(-2.5,.2) node[anchor=south] {$\beta_4$};
\draw (-3.12,-.2)--(-3.12,.2) node[anchor=south] {$\beta_3$};
\draw (-3.9,-.2)--(-3.9,.2)node[anchor=south] {$\beta_2$};
\end{tikzpicture}
\end{document}
\documentclass[tikz,border=5pt]{standalone}
\usepackage{pgfplots}
\pgfplotsset{compat=1.18}
\begin{document}
\begin{tikzpicture}
\begin{axis}[
xtick=data,
axis x line=center,
xticklabels={,,},
ytick={-0.6,0,0.1,1},
yticklabels={
$-\frac{6}{10}$,,
$\frac{1}{10}$,$1$},
ymajorgrids,
axis y line=left,
enlargelimits=0.05
]
\addplot coordinates {
(-3,0) (-2,0.1) (-1,-0.6)
(0,1)
(1,-0.6) (2,0.1) (3,0)
};
\end{axis}
\end{tikzpicture}
\end{document}
\documentclass[tikz,border=5pt]{standalone}
\usepackage[T1]{fontenc}
\usepackage[dvipsnames]{xcolor}
\usepackage{amsmath}
\usepackage{amssymb}
\usepackage{tikz}

% 从原图中精确提取的RGB颜色
\definecolor{myred}{RGB}{237,32,36}
\definecolor{myblue}{RGB}{25,112,190}
\definecolor{mypurple}{RGB}{176,88,186}

\begin{document}
\begin{tikzpicture}[
    % 全局线条与节点样式设置
    every path/.style={line width=0.6mm},
    dot/.style={circle, fill, inner sep=2.5pt}
]

% 1. 定义坐标点
\coordinate (x)  at (0,0);
\coordinate (x') at (-1.5,0); % 适当拉长比例以完美匹配原图的长宽比
\coordinate (y)  at (1.5,1.2);
\coordinate (y') at (0,1.2);
\coordinate (w)  at (1.5,0);
\coordinate (w') at (-1.5,1.2);

% 2. 绘制连线 (注意绘制顺序决定了线条的上下覆盖关系)
% 底层：黑色对角线
\draw[Black] (x') -- (y');
\draw[Black] (x)  -- (y);

% 中下层：紫色对角线 (覆盖黑色对角线，但要在垂直线之下)
\draw[mypurple] (w') -- (w);

% 中上层：黑色垂直线 (覆盖紫色对角线)
\draw[Black] (x)  -- (y');

% 上层：红蓝对角线
\draw[myred]  (w') -- (x);
\draw[myblue] (y') -- (w);

% 顶层：外围轮廓线
\draw[myred]  (w') -- (x'); % 左侧红线
\draw[myred]  (x') -- (x);  % 底部红线1
\draw[myred]  (x)  -- (w);  % 底部红线2

\draw[myblue] (w') -- (y'); % 顶部蓝线1
\draw[myblue] (y') -- (y);  % 顶部蓝线2
\draw[myblue] (y)  -- (w);  % 右侧蓝线


% 3. 绘制节点圆点与文字 (最后绘制，确保圆点压在所有线条上方)
% 底部节点 (文字在下)
\node[dot, fill=myred,   label={[text=black, yshift=-1mm]below:\Large $x'$}] at (x') {};
\node[dot, fill=myred,   label={[text=black, yshift=-1mm]below:\Large $x$}]  at (x)  {};
\node[dot, fill=mypurple,label={[text=black, yshift=-1mm]below:\Large $w$}]  at (w)  {};

% 顶部节点 (文字在上)
\node[dot, fill=mypurple,label={[text=black, yshift=0mm]above:\Large $w'$}] at (w') {};
\node[dot, fill=myblue,  label={[text=black, yshift=0mm]above:\Large $y'$}] at (y') {};
\node[dot, fill=myblue,  label={[text=black, yshift=0mm]above:\Large $y$}]  at (y)  {};

\end{tikzpicture}
\end{document}
\documentclass[tikz,border=5pt]{standalone}
\usepackage{pgfplots}
\pgfplotsset{compat=1.18}
\begin{document}
\begin{tikzpicture}
\begin{semilogyaxis}[
domain=0:4,
]
\addplot {x}; \addlegendentry{$x$}
\addplot {x^2}; \addlegendentry{$x^2$}
\addplot {x^3}; \addlegendentry{$x^3$}
\addlegendimage{empty legend}
\addlegendentry [text width=25pt,text depth=]
{Neg. Sign:}
\addplot {x^(-1)}; \addlegendentry{$x^{-1}$}
\addplot {x^(-2)}; \addlegendentry{$x^{-2}$}
\addplot {x^(-3)}; \addlegendentry{$x^{-3}$}
\end{semilogyaxis}
\end{tikzpicture}
\end{document}
\documentclass[tikz]{standalone}
\usepackage{pgfplots}
\pgfplotsset{compat=1.11}
\begin{document}
\begin{tikzpicture}
\begin{axis}[
    nodes near coords={$\mathbf{X}_{(\pgfplotspointmeta,m_{2},m_{3})}$},
    width=\textwidth
]
\addplot[mark=*, point meta=explicit symbolic] table[meta=myindex] {
    x y myindex
    10.0000 25.0000 0
    20.9912 26.6953 1
};
\addplot[mark=*, point meta=explicit symbolic] table[meta=myindex] {
    x y myindex
    31.9241 24.9382 2
    42.0139 20.2444 3
};
\addplot[mark=*, point meta=explicit symbolic] table[meta=myindex] {
    x y myindex
    52.1888 15.7636 4
    63.1267 16.0286 5
};
\addplot[mark=*, point meta=explicit symbolic] table[meta=myindex] {
    x y myindex
    72.3473 22.1508 6
    80.0280 30.2114 7
};
\addplot[mark=*, point meta=explicit symbolic] table[meta=myindex] {
    x y myindex
    87.6501 38.3286 8
    97.0000 44.1400 9
};
\end{axis}
\end{tikzpicture}
\end{document}