File:Exponentiation as monoid homomorphism.pdf

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Summary

Description
English: Sketches an (injective, but not surjective) monoid homomorphism f from the monoid (ℕ,+,0) to the monoid (ℕ,*,1), defined by f(x)=2x
Date
Source own drawing using LaTeX)
Author Jochen Burghardt
Other versions File:Exponentiation as monoid homomorphism svg.svg
Latex source code
 \documentclass[12pt]{article}
 \usepackage[pdftex]{color}
 \usepackage[paperwidth=140mm,paperheight=130mm]{geometry}
 \setlength{\topmargin}{-36mm}
 \setlength{\textwidth}{30cm}
 \setlength{\textheight}{26cm}
 \setlength{\oddsidemargin}{-2.4cm}
 \setlength{\unitlength}{1mm}

 \newcommand{\hd}[1]{{\bf #1}}

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 \definecolor{fAC}      {rgb}{0.00,0.80,0.00}   % add cont
 \definecolor{fMh}      {rgb}{0.80,0.50,0.50}   % mult unreached head
 \definecolor{fMc}      {rgb}{0.80,0.50,0.50}   % mult unreached cont
 \definecolor{fMH}      {rgb}{0.80,0.00,0.00}   % mult   reached head
 \definecolor{fMC}      {rgb}{0.80,0.00,0.00}   % mult   reached cont
 \definecolor{fH}       {rgb}{0.00,0.00,0.99}   % homomorphism
 % background
 \definecolor{bA}       {rgb}{0.91,0.99,0.91}   % add
 \definecolor{bAM}      {rgb}{0.99,0.99,0.83}   % add+mult
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 %%%%% addition
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 % add hor head
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 % add vert head
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 % add contents 0
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 % add 2
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 % add 3
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 % add 4
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 % add 5...
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 % mapping hor
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 % mapping vert
 %\textcolor{fH}{\put( 68,132){\vector(-1,1){51}}}%
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 %\textcolor{fH}{\put(61,102){\vector(-4,1){44}}}%

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 \end{document}

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Date/TimeThumbnailDimensionsUserComment
current20:12, 10 October 2013Thumbnail for version as of 20:12, 10 October 2013825 × 766 (16 KB)wikimediacommons>Jochen Burghardtadapted as suggested on Talk:Monoid#Suggested tweaks to new illustration

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