File:Binary entropy plot.svg
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Summary
DescriptionBinary entropy plot.svg |
en:Information entropy of a en:Bernoulli trial X. If X can assume values 0 and 1, entropy of X is defined as H(X) = -Pr(X=0) log2 Pr(X=0) - Pr(X=1) log2 Pr(X=1). It has value if Pr(X=0)=1 or Pr(X=1)=1. The entropy reaches maximum when Pr(X=0)=Pr(X=1)=1/2 (the value of entropy is then 1). The image was created in the following steps. First I have created a DVI version starting from a LaTeX/Pstricks source. Here is the code: %Plot of information entropy of Bernoulli variable
%
%latex binary_entropy_plot; dvips binary_entropy_plot
%open .ps file in gimp, choose strong antialias in both text and graphics,
%resulution 500, color mode, crop, scale to 45%, save as .png
\documentclass[12pt]{article}
\usepackage{pst-plot}
\begin{document}
\psset{unit=4cm}
\begin{pspicture}(0,0)(1.01,1)
\psgrid[gridlabels=0pt,gridcolor=lightgray,subgriddiv=10,subgridcolor=lightgray](0,0)(0,0)(1,1)
\newrgbcolor{myblue}{0 0 0.7}
\psaxes[arrows=->,arrowsize=2pt 4,Dx=0.5,Dy=0.5](0,0)(0,0)(1.1,1.1)
\psplot[plotstyle=curve,plotpoints=100,linewidth=1.8pt,linecolor=myblue]{0.0001}{0.9999}{-1 x x log 2 log div mul 1 x sub 1 x sub log 2 log div mul add mul}
\rput(0.5,-0.22){$\Pr(X=1)$}
\rput{90}(-0.28,0.5){$H(X)$}
\end{pspicture}
\end{document}
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Date | |
Source | Own work based on: Binary entropy plot.png by Brona |
Author |
Vector: Newer version by Rubber Duck |
SVG genesis InfoField | This diagram was created with a text editor. Please do not replace the simplified code of this file with a version created with Inkscape or any other vector graphics editor This diagram uses embedded text that can be easily translated using a text editor. |
Licensing
Permission is granted to copy, distribute and/or modify this document under the terms of the GNU Free Documentation Licence, Version 1.2 or any later version published by the Free Software Foundation; with no Invariant Sections, no Front-Cover Texts, and no Back-Cover Texts. A copy of the licence is included in the section entitled GNU Free Documentation Licence.http://www.gnu.org/copyleft/fdl.htmlGFDLGNU Free Documentation Licensetruetrue |
This file is licensed under the Creative Commons Attribution-Share Alike 3.0 Unported licence. | ||
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This licencing tag was added to this file as part of the GFDL licencing update.http://creativecommons.org/licenses/by-sa/3.0/CC BY-SA 3.0Creative Commons Attribution-Share Alike 3.0truetrue |
Items portrayed in this file
depicts
April 2007
image/svg+xml
a9cd604177c23863a984861678b72545aed6298f
1,258 byte
300 pixel
300 pixel
File history
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Date/Time | Thumbnail | Dimensions | User | Comment | |
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current | 21:37, 9 February 2015 | 300 × 300 (1 KB) | wikimediacommons>Krishnavedala | simplified drawing |
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Metadata
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Short title | Binary entropy plot |
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Width | 300px |
Height | 300px |