From 8d93d70e1bde2d07ecee27741c955a849ef62351 Mon Sep 17 00:00:00 2001 From: Martin Thoma Date: Sun, 10 Aug 2014 01:28:39 -0400 Subject: [PATCH] added normal distribution image --- .../Makefile | 32 +++++++++ .../README.md | 8 +++ ...ution-cumulative-density-function-many.png | Bin 0 -> 35222 bytes ...ution-cumulative-density-function-many.tex | 66 ++++++++++++++++++ 4 files changed, 106 insertions(+) create mode 100644 tikz/normal-distribution-cumulative-density-function-many/Makefile create mode 100644 tikz/normal-distribution-cumulative-density-function-many/README.md create mode 100644 tikz/normal-distribution-cumulative-density-function-many/normal-distribution-cumulative-density-function-many.png create mode 100644 tikz/normal-distribution-cumulative-density-function-many/normal-distribution-cumulative-density-function-many.tex diff --git a/tikz/normal-distribution-cumulative-density-function-many/Makefile b/tikz/normal-distribution-cumulative-density-function-many/Makefile new file mode 100644 index 0000000..f7e6d3e --- /dev/null +++ b/tikz/normal-distribution-cumulative-density-function-many/Makefile @@ -0,0 +1,32 @@ +SOURCE = normal-distribution-cumulative-density-function-many +DELAY = 80 +DENSITY = 300 +WIDTH = 512 + +make: + pdflatex -shell-escape $(SOURCE).tex -output-format=pdf + make clean + +clean: + rm -rf $(TARGET) *.class *.html *.log *.aux *.data *.gnuplot + +gif: + pdfcrop $(SOURCE).pdf + convert -verbose -delay $(DELAY) -loop 0 -density $(DENSITY) $(SOURCE)-crop.pdf $(SOURCE).gif + make clean + +png: + make + make svg + inkscape $(SOURCE).svg -w $(WIDTH) --export-png=$(SOURCE).png + +transparentGif: + convert $(SOURCE).pdf -transparent white result.gif + make clean + +svg: + #inkscape $(SOURCE).pdf --export-plain-svg=$(SOURCE).svg + pdf2svg $(SOURCE).pdf $(SOURCE)1.svg + # Necessary, as pdf2svg does not always create valid svgs: + inkscape $(SOURCE)1.svg --export-width=$(WIDTH) --export-plain-svg=$(SOURCE)1.svg + rsvg-convert -a -w 720 -f svg $(SOURCE)1.svg -o $(SOURCE).svg diff --git a/tikz/normal-distribution-cumulative-density-function-many/README.md b/tikz/normal-distribution-cumulative-density-function-many/README.md new file mode 100644 index 0000000..0afaf72 --- /dev/null +++ b/tikz/normal-distribution-cumulative-density-function-many/README.md @@ -0,0 +1,8 @@ +Compiled example +---------------- +![Example](normal-distribution-cumulative-density-function-many.png) + +Credits +------- + +This image is based on the one of [Claudio Fiandrino](http://tex.stackexchange.com/a/60956/5645). \ No newline at end of file diff --git a/tikz/normal-distribution-cumulative-density-function-many/normal-distribution-cumulative-density-function-many.png b/tikz/normal-distribution-cumulative-density-function-many/normal-distribution-cumulative-density-function-many.png new file mode 100644 index 0000000000000000000000000000000000000000..71c081a865f689822e68b9675cf53043d14058db GIT binary patch literal 35222 zcmYJa1yEGq|3AERmw>e3BAwD5(kk8EAPv&Jbg6)pN{7VKAl>kxOF+6yq`T`meE;*C z=gt7jFx-1jz0a#ol!}rZ4kkG!1OmZPke612KoG%41U__B@Pnk9c^dpcc73CufetP| zbc;yvJBG8ot}6tBw(|6aU{*KP0f9is++=jz)Sax{JWW4ZLOeY^*=-!{T+L0LE!mwu zTBja}kV7Ce5Cv&T4X?DlbWcB`$&2*ok!*@S#e%b`E+5ZCWoTvhd^8ekIGG0OwFGz!W;v2RUDYX z0dl}4blvt(;n=;f$DUV*zGaHR$Nm*&P57@2ZtIcLC5!UL9r(Nk@9l1R+e0k>Y)1&1 zxc|T3**{~Rv)xRk+9%K}zF4kxn0H;;fRr`-{UNBJpfG(nTfOD1`f+S*%-!eg-|?Zc z_`O?Joe+5LJipV@UG1p&CqwVeBy$A67Gt?Dl)B#&6VH

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+\documentclass[varwidth=true, border=4pt]{article} +\usepackage[active,tightpage]{preview} +\usepackage[latin1]{inputenc} +\usepackage{amsmath} +\usepackage{pgfplots} +\usepackage{helvet} +\usepackage[eulergreek]{sansmath} + +\def\cdf(#1)(#2)(#3){0.5*(1+(erf((#1-#2)/(sqrt(#3*2)))))}% +% to be used: \cdf(x)(mean)(variance) + +\DeclareMathOperator{\CDF}{cdf} + +\pgfplotsset{ +tick label style = {font=\sansmath\sffamily}, +every axis label/.append style={font=\sffamily\footnotesize}, +} + +\begin{document} +\begin{preview} +\begin{tikzpicture} + \begin{axis}[ + width=13.5cm, + height=8.625cm, + % Grid + grid = major, + grid style={black, thin}, + % size + xmin=-5.25, % start the diagram at this x-coordinate + xmax= 5.25, % end the diagram at this x-coordinate + ymin=-0.05, % start the diagram at this y-coordinate + ymax= 1.05, % end the diagram at this y-coordinate + % Legende + legend pos=north west, + legend style={font=\footnotesize}, + % Ticks + tick align=inside, + minor tick num=3, + minor tick style={thick}, + yticklabel style={ + /pgf/number format/precision=1, + /pgf/number format/fixed, + /pgf/number format/fixed zerofill}, + % Axis + axis line style = very thick, + xlabel=$x$, + x label style={at={(axis description cs:0.5,0)}, + anchor=north, + font=\boldmath\Large}, + ylabel=$\Phi_{\mu, \sigma^2}(x)$, + y label style={at={(axis description cs:0.05,0.5)}, + anchor=south, + font=\boldmath\Large}, + ] + \addplot[domain=-5.25:5.25,smooth,blue!70!black,ultra thick,samples=200,] gnuplot{\cdf(x)(0)(0.2)}; + \addplot[domain=-5.25:5.25,smooth,red!70!black,ultra thick,samples=200,] gnuplot{\cdf(x)(0)(1.0)}; + \addplot[domain=-5.25:5.25,smooth,yellow!80!black,ultra thick,samples=200,] gnuplot{\cdf(x)(0)(5)}; + \addplot[domain=-5.25:5.25,smooth,green!70!black,ultra thick,samples=200,] gnuplot{\cdf(x)(-2)(0.5)}; + \addlegendentry{$\mu=\hphantom{-}0,\quad \sigma^2 = 0.2$} + \addlegendentry{$\mu=\hphantom{-}0,\quad \sigma^2 = 1.0$} + \addlegendentry{$\mu=\hphantom{-}0,\quad \sigma^2 = 5.0$} + \addlegendentry{$\mu=-2,\quad \sigma^2 = 0.5$} + \end{axis} +\end{tikzpicture} +\end{preview} +\end{document}