File:Euler's formula commutative diagram.png

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Euler's_formula_commutative_diagram.png(344 × 296 pixels, file size: 18 KB, MIME type: image/png)

This file is from Wikimedia Commons and may be used by other projects. The description on its file description page there is shown below.

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Summary

I created this work entirely by myself.

Licensing

I, the copyright holder of this work, hereby publish it under the following license:
Creative Commons CC-Zero This file is made available under the Creative Commons CC0 1.0 Universal Public Domain Dedication.
The person who associated a work with this deed has dedicated the work to the public domain by waiving all of their rights to the work worldwide under copyright law, including all related and neighboring rights, to the extent allowed by law. You can copy, modify, distribute and perform the work, even for commercial purposes, all without asking permission.

Other informations

LaTeX TikZ source :

\documentclass{standalone}
\usepackage{tikz}
\usepackage{amsmath}
\usepackage{amssymb}

\begin{document}

\begin{tikzpicture}[node distance=2cm]
    \node (R) {$\mathbb{R}$};
    \node (S1) [right of=R] {$\mathbb{S}^1$};
    \node (RmodZ) [below of=R] {$\mathbb{R}/\tau\mathbb{Z}$};

    \draw[->] (R) -- node[above] {$e^{i-}$} (S1);
    \draw[->] (R) -- (RmodZ);
    \draw[dashed,->] (RmodZ) -- node[below right] {$\simeq$} (S1);
\end{tikzpicture}

\end{document}

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Date/TimeThumbnailDimensionsUserComment
current19:33, 5 November 2013Thumbnail for version as of 19:33, 5 November 2013344 × 296 (18 KB)wikimediacommons>Error792I created this work entirely by myself.

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