File:Snake lemma nat2.svg
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Size of this PNG preview of this SVG file: 750 × 125 pixels. Other resolutions: 320 × 53 pixels | 640 × 107 pixels | 1,024 × 171 pixels | 1,280 × 213 pixels | 2,560 × 427 pixels.
Original file (SVG file, nominally 750 × 125 pixels, file size: 37 KB)
| Description |
English: A commutative diagram with exact rows, showing the naturality of the snake lemma. Produced with TeX and XY-Pic, using the source code below. Both the image and the source code are in the public domain.
% Produce a postscript file from this input with tex and dvips.
% Loading the XY-Pic package:
\input xy
\xyoption{all}
% Using postscript driver for smoother curves
\xyoption{ps}
\xyoption{dvips}
% No need for page numbers
\nopagenumbers
\def\coker{\mathop{\rm coker}}
$$
\xymatrix{ %Our diagram is a 2x7 matrix
&{}\ker a_2\ar[r]&{}\ker b_2\ar[r]&{}\ker c_2\ar[r]^{d_2}&{}\coker a_2\ar[r]&{}\coker
b_2\ar[r]&{}\coker c_2\\
{}\ker a_1\ar[r]\ar[ur]&{}\ker b_1\ar[r]\ar[ur]&{}\ker c_1\ar[r]^{d_1}\ar[ur]&{}\coker
a_1\ar[r]\ar[ur]&{}\coker b_1\ar[r]\ar[ur]&{}\coker c_1\ar[ur]
}
$$
\end
|
| Date | |
| Source | http://en.wikipedia.org/wiki/Image:Snake_lemma_nat2.png |
| Author | Axel Boldt |
| Permission (Reusing this file) |
"Both the image and the source code are in the public domain." and "Since I believe that "intellectual property rights" do not exist (as we mere mortals cannot arrogate the right to own parts of Plato's eternal heaven of ideas), every word I write is by default, and always, in the public domain." [1] |
| SVG development |
LaTeX Code to generate the current version % See Descripion for the TeX code. One needs PDF2SVG to generate the SVG image. % Author: Axel Boldt, Hagman, Ika % Update Date: 11/15/2014 \documentclass{amsart} \usepackage[paperwidth=600px, paperheight=100px, top=-10px, left=0px, right=0px, bottom=0px]{geometry} \usepackage{amsmath,amssymb,nopageno} \usepackage[all]{xy} \begin{document} \Huge \def\coker{\mathop{\rm coker}} \[ \xymatrix{ %Our diagram is a 2x7 matrix &{}\ker a_2\ar[r]&{}\ker b_2\ar[r]&{}\ker c_2\ar[r]^{d_2}&{}\coker a_2\ar[r]&{}\coker b_2\ar[r]&{}\coker c_2\\ {}\ker a_1\ar[r]\ar[ur]&{}\ker b_1\ar[r]\ar[ur]&{}\ker c_1\ar[r]_{d_1}\ar[ur]&{}\coker a_1\ar[r]\ar[ur]&{}\coker b_1\ar[r]\ar[ur]&{}\coker c_1\ar[ur] } \] \end{document}
|
I, the copyright holder of this work, release this work into the public domain. This applies worldwide. In some countries this may not be legally possible; if so: I grant anyone the right to use this work for any purpose, without any conditions, unless such conditions are required by law. |
File history
Click on a date/time to view the file as it appeared at that time.
| Date/Time | Thumbnail | Dimensions | User | Comment | |
|---|---|---|---|---|---|
| current | 08:19, 16 November 2014 | | 750 × 125 (37 KB) | wikimediacommons>IkamusumeFan | enlarge the fonts for better display. |
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