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Added sigmoid-function

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Martin Thoma 2013-09-10 12:19:03 +02:00
parent 33ba7ff981
commit 5ea1d81eba
4 changed files with 68 additions and 0 deletions

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SOURCE = sigmoid-function
DELAY = 80
DENSITY = 300
WIDTH = 500
make:
pdflatex $(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).svg
# Necessary, as pdf2svg does not always create valid svgs:
inkscape $(SOURCE).svg --export-plain-svg=$(SOURCE).svg

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Compiled example
----------------
![Example](sigmoid-function.png)

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\documentclass[varwidth=false, border=2pt]{standalone}
\usepackage{pgfplots}
\usepackage{tikz}
\usepackage{tkz-fct}
\usetikzlibrary{arrows}
\begin{document}
\begin{tikzpicture}
\begin{axis}[
legend pos=north west,
axis x line=middle,
axis y line=middle,
grid = major,
width=16cm,
height=8cm,
grid style={dashed, gray!30},
xmin=-1, % start the diagram at this x-coordinate
xmax= 1, % end the diagram at this x-coordinate
ymin= 0, % start the diagram at this y-coordinate
ymax= 1, % end the diagram at this y-coordinate
%axis background/.style={fill=white},
xlabel=x,
ylabel=y,
tick align=outside,
enlargelimits=false]
% plot the stirling-formulae
\addplot[domain=-1:1, red, ultra thick,samples=500] {1/(1+exp(-5*x))};
\addplot[domain=-1:1, blue, ultra thick,samples=500] {1/(1+exp(-10*x))};
\addlegendentry{$f(x)=\frac{1}{1+e^{-5x}}$}
\addlegendentry{$g(x)=\frac{1}{1+e^{-10x}}$}
\end{axis}
\end{tikzpicture}
\end{document}