Examples
<tex> \documentclass[tikz]{standalone} \usepackage{tikz} \begin{document}
\begin{tikzpicture}
\draw (0,0) circle (10pt);
\draw (0,0) .. controls (1,1) and (2,1) .. (2,0);
\draw (0,0) ellipse (20pt and 10pt);
\draw (0,0) rectangle (0.5,0.5);
\filldraw[fill=green!20!white, draw=green!50!black](0,0) -- (3mm,0mm) arc (0:30:3mm) -- cycle;
\end{tikzpicture}
\end{document} </tex>
<tex> \documentclass[tikz]{standalone} \usepackage{tikz} \begin{document}
\begin{tikzpicture}
[every node/.style={fill=blue!30,draw=blue!70,rounded corners},
edge from parent/.style={blue,thick,draw}]
\node {root}
child {node {a1}}
child {node {a2}
child {node {b1}}
child {node {b2}}}
child {node {a3}};
\end{tikzpicture}
\end{document} </tex>
<tex> \documentclass[tikz]{standalone} \usepackage{tikz} \begin{document}
\begin{tikzpicture}[domain=0:4]
\draw[very thin,color=gray] (-0.1,-1.1) grid (3.9,3.9);
\draw[->] (-0.2,0) -- (4.2,0) node[right] {$x$};
\draw[->] (0,-1.2) -- (0,4.2) node[above] {$f(x)$};
\draw[color=red] plot (\x,\x) node[right] {$f(x) =x$};
\draw[color=blue] plot (\x,{sin(\x r)}) node[right] {$f(x) = \sin x$};
\draw[color=orange] plot (\x,{0.05*exp(\x)}) node[right] {$f(x) = \frac{1}{20} \mathrm e^x$};
\end{tikzpicture} \end{document} </tex>
<tex> \documentclass[tikz]{standalone} \usepackage{tikz} \begin{document}
\begin{tikzpicture}[domain=0:4]
\draw[very thin,color=gray] (-0.1,-1.1) grid (3.9,3.9);
\draw[->] (-0.2,0) -- (4.2,0) node[right] {$x$};
\draw[->] (0,-1.2) -- (0,4.2) node[above] {$f(x)$};
\draw (2,0)..controls (2,3)..(0,2); \draw (2,0)..controls (4,2)..(0,2); \draw[dotted] (2,0)..controls (4,2) and (2,3)..(0,2); \end{tikzpicture} \end{document} </tex>
<tex> % Poincaré Diagram: Classification of Phase Portraits in the (det A,Tr A)-plane % Author: Gernot Salzer, 22 Jan 2017 \documentclass[tikz,border=10pt]{standalone} \usetikzlibrary{decorations.markings}
\tikzset
{every pin/.style = {pin edge = {<-}}, % pins are arrows from label to point
> = stealth, % arrow tips look like stealth bombers
flow/.style = % everything marked as "flow" will be decorated with an arrow
{decoration = {markings, mark=at position #1 with {\arrow{>}}},
postaction = {decorate}
},
flow/.default = 0.5, % default position of the arrow is in the middle
main/.style = {line width=1pt} % thick lines for main graph
}
% \newtemplate[Scaling, default 0.18]{\NameOfTemplate}{Caption}{Code} % % Typesets Code and stores it in the box \NameOfTemplate. % This way we avoid nested tikzpictures when inserting the templates into the % main picture, since nesting is not guaranteed to work. \newcommand\newtemplate[4][0.18]%
{\newsavebox#2%
\savebox#2%
{\begin{tabular}{@{}c@{}}
\begin{tikzpicture}[scale=#1]
#4
\end{tikzpicture}\\[-1ex]
\templatecaption{#3}\\[-1ex]
\end{tabular}%
}%
}
\newcommand\template[1]{\usebox{#1}} % use the Code stored in box #1 \newcommand\templatecaption[1]Template:\sffamily\scriptsize % typeset caption \newcommand\Tr{\mathop{\mathrm{Tr}}}
\newtemplate\sink{sink}%
{\foreach \sx in {+,-} % for right/left half do:
{\draw[flow] (\sx4,0) -- (0,0); % draw half of horizontal axis
\draw[flow] (0,\sx4) -- (0,0); % draw half of vertical axis
\foreach \sy in {+,-} % for upper/lower quadrant do:
\foreach \a/\b in {2/1,3/0.44} % draw two half-parabolas
\draw[flow,domain=\sx\a:0] plot (\x, {\sy\b*\x*\x});
}
}
\newtemplate\source{source}%
{\foreach \sx in {+,-} % for right/left half do:
{\draw[flow] (0,0) -- (\sx4,0); % draw half of horizontal axis
\draw[flow] (0,0) -- (0,\sx4); % draw half of vertical axis
\foreach \sy in {+,-} % for upper/lower quadrant do:
\foreach \a/\b in {2/1,3/0.44} % draw two half-parabolas
\draw[flow,domain=0:\sx\a] plot (\x, {\sy\b*\x*\x});
}
}
\newtemplate\stablefp{line of stable fixed points}%
{\draw (-4,0) -- (4,0); % draw horizontal axis
\foreach \sy in {+,-} % for upper/lower half do:
{\draw[flow] (0,\sy4) -- (0,0); % draw half of vertical axis
\foreach \x in {-3,-2,-1,1,2,3} % draw six vertical half-lines
\draw[flow] (\x,\sy3) -- (\x,0);
}
}
\newtemplate\unstablefp{line of unstable fixed points}%
{\draw (-4,0) -- (4,0); % draw horizontal axis
\foreach \sy in {+,-} % for upper/lower half do:
{\draw[flow] (0,0) -- (0,\sy4); % draw half of vertical axis
\foreach \x in {-3,-2,-1,1,2,3} % draw six vertical half-lines
\draw[flow] (\x,0) -- (\x,\sy3);
}
}
\newtemplate\spiralsink{spiral sink}%
{\draw (-4,0) -- (4,0); % draw horizontal axis
\draw (0,-4) -- (0,4); % draw vertical axis
\draw [samples=100,smooth,domain=27:7] % draw spiral
plot ({\x r}:{0.005*\x*\x}); % Using "flow" here gives "Dimension
\def\x{26} % too large", so we draw a tiny
\draw[->] ({\x r}:{0.005*\x*\x}) -- +(0.01,-0.01);% tangent for the arrow.
}
\newtemplate\spiralsource{spiral source}%
{\draw (-4,0) -- (4,0); % draw horizontal axis
\draw (0,-4) -- (0,4); % draw vertical axis
\draw [samples=100,smooth,domain=10:28] % draw spiral
plot ({-\x r}:{0.005*\x*\x}); % Using "flow" here gives "Dimension
\def\x{27.5} % too large", so we draw a tiny
\draw[<-] ({-\x r}:{0.005*\x*\x}) -- +(0.01,-0.008);% tangent for the arrow.
}
\newtemplate[0.15]\centre{center}% British spelling since \center is in use
{\draw (-4,0) -- (4,0); % draw horizontal axis
\draw (0,-4) -- (0,4); % draw vertical axis
\foreach \r in {1,2,3} % draw three circles
\draw[flow=0.63] (\r,0) arc (0:-360:\r cm);
}
\newtemplate\saddle{saddle}%
{\foreach \sx in {+,-} % for right/left half do:
{\draw[flow] (\sx4,0) -- (0,0); % draw half of horizontal axis
\draw[flow] (0,0) -- (0,\sx4); % draw half of vertical axis
\foreach \sy in {+,-} % for upper/lower quadrant do:
\foreach \a/\b/\c/\d in {2.8/0.3/0.7/0.6, 3.9/0.4/1.3/1.1}
\draw[flow] (\sx\a,\sy\b) % draw two bent lines
.. controls (\sx\c,\sy\d) and (\sx\d,\sy\c)
.. (\sx\b,\sy\a);
}
}
\newtemplate\degensink{degenerate sink}%
{\draw (0,-4) -- (0,4); % draw vertical axis
\foreach \s in {+,-} % for upper/lower half do:
{\draw[flow] (\s4,0) -- (0,0); % draw half of horizontal axis
\foreach \a/\b/\c/\d in {3.5/4/1.5/1, 2.5/2/1/0.8}
\draw[flow] (\s-3.5,\s\a) % draw two bent lines
.. controls (\s\b,\s\c) and (\s\b,\s\d)
.. (0,0);
}
}
\newtemplate\degensource{degenerate source}%
{\draw (0,-4) -- (0,4); % draw vertical axis
\foreach \s in {+,-} % for upper/lower half do:
{\draw[flow] (0,0) -- (\s4,0); % draw half of horizontal axis
\foreach \a/\b/\c/\d in {3.5/4/1.5/1, 2.5/2/1/0.8}
\draw[flow] (0,0) % draw two bent lines
.. controls (\s\b,\s\d) and (\s\b,\s\c)
.. (\s-3.5,\s\a);
}
}
\begin{document} \begin{tikzpicture}[line cap=round,line join=round]
% MAIN DIAGRAM
\draw [main,->] (0,-0.3) -- (0,4.7) % vertical axis
node [label={[above]$\scriptstyle\det A$}] {}
node [label={[above,yshift=0.8cm]%
{\sffamily\large Poincar\'e Diagram: Classification of Phase
Portraits in the $(\det A,\Tr A)$-plane}}] {};
\draw [main,->] (-5,0) -- (5,0) % horizontal axis
node [label={[right,yshift=-0.5ex]$\scriptstyle\Tr A$}] {};
\draw [main, domain=-4:4] plot (\x, {0.25*\x*\x}); % main graph
\node at (-4,4) [pin={[above]$\scriptstyle\Delta=0$}] {};
\node at ( 4,4) [pin={[above,align=left]%
{$\scriptstyle\Delta=0:\;\det A=\frac{1}{4}(\Tr A)^2$}}] {};
% TEMPLATES describing areas
\node at ( 0 ,-1.4) {\template\saddle};
\node at (-4 , 1 ) {\template\sink};
\node at ( 4 , 1 ) {\template\source};
\node at (-1.8, 3.7) {\template\spiralsink};
\node at ( 1.8, 3.7) {\template\spiralsource};
% TEMPLATES labeling lines and points
\node at ( 0 , 1.2) [pin={[draw,right,xshift=0.3cm]%
\template\centre}] {};
\node at (-3 , 0 ) [pin={[draw,below,yshift=-1cm]%
\template\stablefp}] {};
\node at ( 3 , 0 ) [pin={[draw,below,yshift=-1cm]%
\template\unstablefp}] {};
\node at (-3.5,{0.25*3.5*3.5}) [pin={[draw,left,xshift=-1.15cm,yshift=-0.3cm]%
\template\degensink}] {};
\node at ( 3.5,{0.25*3.5*3.5}) [pin={[draw,right,xshift=0.9cm,yshift=-0.3cm]%
\template\degensource}] {};
\node at ( 0 , 0 ) [pin={[draw,above left,align=center,xshift=-0.3cm]%
\templatecaption{uniform}\\[-1ex]\templatecaption{motion}}] {};
\end{tikzpicture} \end{document} </tex>
<tex>
\documentclass[tikz]{standalone}
\usetikzlibrary{arrows,chains,matrix,positioning,scopes,decorations.markings}
\usepackage{tikz}
\tikzstyle{vecArrow} = [thick, decoration={markings,mark=at position
1 with {\arrow[semithick]{open triangle 60}}},
double distance=1pt, shorten >= 4.5pt,
preaction = {decorate},
postaction = {draw,line width=1pt, white,shorten >= 4.5pt}]
\tikzstyle{innerWhite} = [semithick, white,line width=1pt, shorten >= 4.5pt] \begin{document} \tikzstyle{block} = [draw,fill=blue!20,minimum size=2em] \def\radius{.7mm}
\begin{tikzpicture}[>=latex']
\draw (1,0) rectangle (5,-2);
\node at (0,-1) (input1) {$A$};
\node[block] at (2,-1) (block1) {$X_1$};
\node[block] at (4,-1) (block2) {$X_2$};
\node at (2,1) (input0){$v_0$};
\draw[vecArrow] (input0) to (block1);
\draw[->] (input1) to (block1);
\draw[->] (block1) to (block2);
\draw[->] (block2) -- +(1.5,0);
\path[->] (block1) edge node[midway,above]{$B$} (block2);
\end{tikzpicture} \end{document} </tex>
<tex> \documentclass{standalone} \usepackage{tikz} \usetikzlibrary{circuits.logic.US} % TiKZ Library for US Logic Circuits. \begin{document} \begin{tikzpicture}[circuit logic US, every circuit symbol/.style={thick}]
\node[and gate,inputs={nnnnnnnnnnnnnnnnn}, point right] (A) at (2,-1) {} ;
\node[and gate,inputs={nnnn}, point right] (B) at (1,-0.5) {$f$};
\draw (B.input 1 -| -0.5,0) -- (B.input 1);
\node[and gate,inputs={normal,inverted,normal,normal},point right] (C) at (3,-1.5) {$g$};
\draw [red, very thick](C.input 4 -| -0.5,0) -- (C.input 4);
\path[draw] [green, very thick] (B.output) .. controls(2,-0.5) and (1.5,-1) ..(C.input 2); % \draw (C.output -| 5,0) -- (C.output); \path[draw] [green, very thick] (C.output) .. controls(4,-1.5) and (4,-1) ..(A.output);
\node[not gate, point down] (D) at (10,0) {};
\node[or gate,inputs={nnnn}, point down] (E) at (12,-2) {};
\node[buffer gate, point down,inputs={i}] (F) at (13,1.5){};
\draw [black,very thick] (D.input) -- ++(up:5mm) node [above]{$E_a$}; \draw [black,very thick] (F.input) -- ++(up:5mm) node [above]{$E_b$};
\draw [red, very thick] (D.output) -- ++(down:5.4mm) -| (E.input 4);
\draw [blue, very thick] (F.output) -- ++(down:5.4mm) -| (E.input 1);
\draw (E.output) -- ++(down:5mm) node [below]{$Y_1$}; \end{tikzpicture} \end{document} </tex>
<tex> \documentclass{standalone} \usepackage{tikz} \usetikzlibrary{positioning} \tikzset{ %Define style for boxes
punkt/.style={
rectangle,
rounded corners,
draw=black, very thick,
text width=2em,
minimum height=2em,
inner sep=2pt,
text centered},
} \begin{document} \begin{tikzpicture}[node distance=1cm, auto,]
\draw[punkt] (-1,1) rectangle (4,-1);
\node[punkt] (market) {f};
\node[punkt, right=2cm of market] (formidler) {g};
\draw (market) -- +(-1.5,0);
\draw (market) to (formidler);
\draw (formidler) -- +(1.5,0);
\end{tikzpicture}
\begin{tikzpicture}[node distance=1cm, auto,]
\draw[punkt] (-1,-2) rectangle (4,0);
\node[punkt] (market2) at(0,-0.8) {f};
\node[punkt, right=2cm of market](formidler2) at(0.5,-1.4) {g};
\draw (market2) -- +(-1.5,0);
\draw (formidler2) -- +(-4.5,0);
\path[draw] [green, very thick] (market2) .. controls(0.5,-1)and (0.5,-0.8)..(formidler2);
\draw (formidler2) -- +(1.5,0);
\draw (market2) -- +(4.5,0);
\end{tikzpicture}
\end{document} </tex>