File:Equivalence transformation of Inverse Systems Diagram N to M to N.svg

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Original file (SVG file, nominally 417 × 206 pixels, file size: 36 KB)

Captions

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Equivalence transformation of Inverse Systems Diagram 2 - From N to M to N

Summary

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Description
English: Equivalence transformation of Inverse Systems Diagram 2 - From N to M to N
Date
Source Own work
Author Mgkrupa

LaTeX Source Code

[edit]
%Note: Add the -shell-escape flag to the compilation command to compile directly to an image. 
%For .pdf files, use \documentclass[preview]{standalone}
%For .png files, (see http://tex.stackexchange.com/q/11866 for more info) use: \documentclass[convert={density=300,size=1080x800,outext=.png}]{standalone}
%For .svg files you need pdf2svg installed (see https://tex.stackexchange.com/a/51766/187911 for more info) use:
\documentclass[convert={outext=.svg,command=\unexpanded{pdf2svg \infile\space\outfile}},multi=false]{standalone}
\usepackage{tikz}
\usetikzlibrary{matrix,arrows,decorations.pathmorphing}
\usepackage[all]{xy}
\begin{document}
\begin{tikzpicture}[scale=2.5]
\node (NALPHAIOTAA) at (0,2) {$N_{\alpha(\iota(a))}$};
\node (NALPHAIOTAB) at (2,2) {$N_{\alpha(\iota(b))}$};
\node (MIOTAA) at (0,1) {$M_{\iota(a)}$};
\node (MIOTAB) at (2,1) {$M_{\iota(b)}$};
\node (NA) at (0,0) {$N_a$};
\node (NB) at (2,0) {$N_b$};
\path[->,font=\scriptsize,>=angle 90]
(NALPHAIOTAA) edge node[right]{\scalebox{1.5}{$G_{\iota(a)}$}} (MIOTAA)
(NALPHAIOTAB) edge node[right]{\scalebox{1.5}{$G_{\iota(b)}$}} (MIOTAB)
(NALPHAIOTAB) edge node[above]{\scalebox{1.5}{$\nu_{\alpha(\iota(a)), \alpha(\iota(b))}$}} (NALPHAIOTAA)
(MIOTAB) edge node[above]{\scalebox{1.5}{$\mu_{\iota(a), \iota(b)}$}} (MIOTAA)
(MIOTAA) edge node[right]{\scalebox{1.5}{$F_{a}$}} (NA)
(MIOTAB) edge node[right]{\scalebox{1.5}{$F_{b}$}} (NB)
(NB) edge node[above]{\scalebox{1.5}{$\nu_{ab}$}} (NA)
(NALPHAIOTAA) edge[bend right=55] node[left]{\scalebox{1.5}{$\nu_{a, \alpha(\iota(a))}$}} (NA)
(NALPHAIOTAB) edge[bend left=55] node[right]{\scalebox{1.5}{$\nu_{b, \alpha(\iota(b))}$}} (NB);
\end{tikzpicture}
\end{document}

Licensing

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I, the copyright holder of this work, hereby publish it under the following license:
w:en:Creative Commons
attribution share alike
This file is licensed under the Creative Commons Attribution-Share Alike 4.0 International license.
You are free:
  • to share – to copy, distribute and transmit the work
  • to remix – to adapt the work
Under the following conditions:
  • attribution – You must give appropriate credit, provide a link to the license, and indicate if changes were made. You may do so in any reasonable manner, but not in any way that suggests the licensor endorses you or your use.
  • share alike – If you remix, transform, or build upon the material, you must distribute your contributions under the same or compatible license as the original.

File history

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Date/TimeThumbnailDimensionsUserComment
current19:52, 7 April 2021Thumbnail for version as of 19:52, 7 April 2021417 × 206 (36 KB)Mgkrupa (talk | contribs)Made morphisms easier to read.
00:41, 7 April 2021Thumbnail for version as of 00:41, 7 April 2021315 × 202 (35 KB)Mgkrupa (talk | contribs)Uploaded own work with UploadWizard

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