File:Vector basis polar coordinates.svg

Summary

Description
English: This diagram for the Wikiversity:Special relativity and steps towards general relativity course. It uses 2D Euclidean polar coordinates to show that the basis vectors can vary in length depending on where they are located on a manifold.
Date
Source Own work
Author Boud

Licensing

I, the copyright holder of this work, hereby publish it under the following license:
w:en:Creative Commons
attribution share alike
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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.
Category:CC-BY-SA-4.0#Vector%20basis%20polar%20coordinates.svg
Category:Self-published work

xfig source code

The .svg version of the file is produced by

  • the following .fig source code,
  • several command line options: xfig -specialtext -latexfonts -startlatexFont default FILENAME.fig, and
  • exporting to .svg format.
#FIG 3.2  Produced by xfig version 3.2.5b
Landscape
Center
Metric
A4      
100.00
Single
-2
1200 2
2 1 0 2 0 7 50 -1 -1 0.000 0 0 -1 0 0 3
	 3600 8100 4050 8100 7200 8100
2 1 0 3 4 7 50 -1 -1 0.000 0 0 -1 1 0 2
	0 0 4.00 180.00 120.00
	 4472 7722 4172 7242
2 1 0 3 1 7 50 -1 -1 0.000 0 0 -1 1 0 2
	0 0 4.00 180.00 120.00
	 4513 7715 5848 6935
2 1 0 2 0 7 50 -1 -1 0.000 0 0 -1 0 0 3
	 4050 8550 4050 8100 4050 4950
2 1 0 3 4 7 50 -1 -1 0.000 0 0 -1 1 0 2
	0 0 4.00 180.00 120.00
	 6375 6615 5063 4549
2 1 0 3 1 7 50 -1 -1 0.000 0 0 -1 1 0 2
	0 0 4.00 180.00 120.00
	 6423 6590 7758 5810
4 0 0 50 -1 0 32 0.0000 2 510 810 3585 4950 $y$\001
4 0 0 50 -1 0 32 0.0000 2 435 810 7320 8370 $x$\001
4 0 1 50 -1 0 32 0.5236 2 495 2640 5100 7934 $\\vec{e}_r$\001
4 0 4 50 -1 0 32 5.3233 2 495 3660 5132 5520 $\\vec{e}_\\theta$\001
4 0 1 50 -1 0 32 0.5236 2 495 2640 6995 6809 $\\vec{e}_r$\001
4 0 4 50 -1 0 32 5.3233 2 495 3660 4277 6980 $\\vec{e}_\\theta$\001

Licensing

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 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.
Category:CC-BY-SA-3.0#Vector%20basis%20polar%20coordinates.svg
Category:Self-published work Category:Tensor fields Category:Created with Xfig
Category:CC-BY-SA-3.0 Category:CC-BY-SA-4.0 Category:Created with Xfig Category:Self-published work Category:Tensor fields