File:Watanabe UglyDucklingTheorem.pdf

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Original file(1,770 × 1,327 pixels, file size: 109 KB, MIME type: application/pdf)

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Summary[edit]

Description
English: Illustration of S. Watanabe's Ugly duckling theorem, based on an extract of a screenshot from the public domain short A Corny Concerto (1943)
Date (extraction date); 1943 (Original release date)
Source
image extraction process
This file has been extracted from another file
: A Corny Concerto (2).png
original file
Author OswaldLR
Other versions File:Watanabe UglyDucklingTheorem svg.svg
LaTeX source code
\documentclass[12pt]{article}
\usepackage[pdftex]{color}
\usepackage[paperwidth=300\unitlength,paperheight=225\unitlength]{geometry}
\usepackage{graphicx}
\setlength{\topmargin}{-36mm}
\setlength{\textwidth}{300\unitlength}
\setlength{\textheight}{225\unitlength}
\setlength{\oddsidemargin}{-23mm}
\setlength{\parindent}{0cm}
\pagestyle{empty}
\definecolor{coFalse}   {rgb}{0.50,0.00,0.00}
\definecolor{coTrue}    {rgb}{0.00,0.50,0.00}
\newcommand{\xor}{\oplus}
\newcommand{\0}{\textcolor{coFalse}{\sf 0}} 
\newcommand{\1}{\textcolor{coTrue}{\sf 1}} 
\newlength{\Wd}
\setlength{\Wd}{12mm}

\begin{document}
\renewcommand{\arraystretch}{1.5}%
\Huge%
$$\begin{array}{r | p{\Wd}cp{2\Wd}cp{2\Wd}cp{\Wd} | c*{4}{@{}c} c c*{4}{@{}c} | l}
\cline{2-8}
& \multicolumn{7}{|c|}{}        \\[-3ex]
% include picture which was extracted from File:A Corny Concerto (2).png
& \multicolumn{7}{|c|}{\includegraphics{Watanabe_UglyDucklingTheorem.png}} \\
& & \sf A       && \sf B        &&\sf C &\\
%& & x3 && x2   &&x1    &\\
\cline{2-19}
1&& \1  && \0   &&\0    &&     &E&     &     & &=&     &E&\land&     &W&\mbox{ eldest}\\
2&& \1  && \1   &&\0    &&     & &     &     &W&=&     &E&\lor &     &W&\mbox{ white}\\
3&& \0  && \0   &&\0    &&     & &    0&     & &=&     &E&\land&\lnot&W&\mbox{ eldest and non-white}\\
4&& \0  && \0   &&\1    &&     & &     &\lnot&W&=&\lnot&E&\land&\lnot&W&\mbox{ non-white}\\
5&& \0  && \1   &&\0    &&\lnot&E&\land&     &W&=&     &E&\xor &     &W&\mbox{ non-eldest and white}\\
6&& \0  && \1   &&\1    &&\lnot&E&     &     & &=&\lnot&E&\lor &\lnot&W&\mbox{ non-eldest}\\
7&& \1  && \0   &&\1    &&     &E&\lor &\lnot&W&=&\lnot&E&\xor &     &W&\mbox{ eldest or non-white}\\
8&& \1  && \1   &&\1    &&     & &    1&     & &=&\lnot&E&\lor &     &W&\mbox{ non-eldest or white}\\
\cline{2-19}
\end{array}$$
\end{document}

Licensing[edit]

(License inherited from source file:)

Public domain
This work is in the public domain because it was published in the United States between 1929 and 1963, and although there may or may not have been a copyright notice, the copyright was not renewed. For further explanation, see Commons:Hirtle chart and the copyright renewal logs. Note that it may still be copyrighted in jurisdictions that do not apply the rule of the shorter term for US works (depending on the date of the author's death), such as Canada (70 years p.m.a.), Mainland China (50 years p.m.a., not Hong Kong or Macao), Germany (70 years p.m.a.), Mexico (100 years p.m.a.), Switzerland (70 years p.m.a.), and other countries with individual treaties.

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Date/TimeThumbnailDimensionsUserComment
current20:46, 11 December 2017Thumbnail for version as of 20:46, 11 December 20171,770 × 1,327 (109 KB)Jochen Burghardt (talk | contribs)choose observable proprties only ("eldest"-->"first")
13:12, 6 December 2017No thumbnail0 × 0 (109 KB)Jochen Burghardt (talk | contribs)User created page with UploadWizard

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