File:Contravariant Coordinates.png

Transferred from en.wikipedia to Commons by Maksim.

The original description page was here. All following user names refer to en.wikipedia.

My very first Metapost creation... isn't it a darling.

File:Contravariant Coordinates.svg is a vector version of this file. It should be used in place of this PNG file when not inferior.Category:Vector version available
File:Contravariant Coordinates.png → File:Contravariant Coordinates.svg
For more information, see Help:SVG.
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New SVG image

Source code

PostScript code

beginfig(1);
h=5cm;
w=8cm;
theta=60;
xlength=1.7;
ylength=1.3;
pair temp[];
pair w[];
picture lab[];

z0=(0,0);
z1=dir 0 scaled h/2;
z2=dir theta scaled h/2;

w1= xlength*z1;
w2= ylength*z2;
w3= w1+w2;

draw= -xlength*z1--2*xlength*z1;
temp1=(0,ylength*y2);
draw -xlength*z1+temp1--2*xlength*z1+temp1;

draw= -ylength*z2--2*ylength*z2;
temp2=(xlength*x1,0);
draw -ylength*z2+temp2--2*ylength*z2+temp2;

drawarrow z0--z1 withpen pencircle scaled 2bp;
drawarrow z0--z2 withpen pencircle scaled 2bp;
drawarrow z0--w3 withpen pencircle scaled 2bp withcolor red;

draw z0 withpen pencircle scaled 4bp;
draw w1 withpen pencircle scaled 4bp;
draw w2 withpen pencircle scaled 4bp;
draw w3 withpen pencircle scaled 4bp;

label.llft(btex $(0,0)\,\,$ etex, z0); 
label.lrt (btex $(x^1,0)$ etex, w1);
label.ulft(btex $(0,x^2)$ etex, w2);
label.urt (btex $\,\,(x^1,x^2)$ etex, w3);
label.lrt (btex head etex, w3);
label.lrt (btex $\!\!$tail etex, z0);
label.ulft(btex $P$ etex, w3);
label.bot (btex $(1,0)$ etex, z1);
label.lft (btex $(0,1)$ etex, z2);

label.urt (btex $x^1$ axis etex, 1.4 w1);
label.rt  (btex $x^2$ axis etex, 1.4 w2);

xx=h/2*xlength; yy=h/2*ylength;

clip currentpicture to
  (-xx/3,-yy/3)--(-xx/3,4/3yy)--(5.1/3xx,4/3yy)--(5.1/3xx,-yy/3)--cycle;

endfig;
end
GNU head Permission is granted to copy, distribute and/or modify this document under the terms of the GNU Free Documentation License, Version 1.2 or any later version published by the Free Software Foundation; with no Invariant Sections, no Front-Cover Texts, and no Back-Cover Texts. A copy of the license is included in the section entitled GNU Free Documentation License.
w:en:Creative Commons
attribution share alike		 This file is licensed under the Creative Commons Attribution-Share Alike 3.0 Unported 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.
This licensing tag was added to this file as part of the GFDL licensing update.
Category:CC-BY-SA-3.0-migrated#Contravariant%20Coordinates.pngCategory:License migration completed#Contravariant%20Coordinates.pngCategory:GFDL#Contravariant%20Coordinates.png
date/timeusernameedit summary
22:05, 6 February 2005en:User:Lupin(source added)
22:01, 6 February 2005en:User:Lupin(My very first Metapost creation... isn't it a darling. {{GFDL}})

Original upload log

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  • (del) (cur) 22:01, 6 February 2005 . . en:User:Lupin Lupin ( en:User_talk:Lupin Talk) . . 2042x1280 (57830 bytes) (My very first Metapost creation... isn't it a darling. { { GFDL } })
Category:Differential topology Category:Media missing infobox template Category:Basis (linear algebra) Category:Decomposition of vectors
Category:Basis (linear algebra) Category:CC-BY-SA-3.0-migrated Category:Decomposition of vectors Category:Differential topology Category:Files with no machine-readable author Category:Files with no machine-readable source Category:GFDL Category:License migration completed Category:Media missing infobox template Category:PNG created with MetaPost code Category:Vector version available