File:Scalar fields theta quadrant.svg
Summary
| Description |
English: This diagram for the Wikiversity:Special relativity and steps towards general relativity course is used in showing that the coordinate typically called θ, itself a scalar field, has strong gradients near the origin and weak gradients far from the origin. This is a small step towards explaining the algebra of tensor fields. A scalar field is itself a (0,0) tensor field. |
| Date | |
| Source | Own work |
| Author | Boud |
octave source code
The .svg version of the file, along with a better quality encapsulated postscript file, is produced by
- the following octave source code,
- in a local directory called /tmp
- the .svg file is about 260 times as big as the source code
- the .eps file is about 50 times as big as the source code
## (c) CC-BY-SA-3.0 or later
## octave script: visual intuition of a coordinate of the Euclidean plane
## as scalar fields on a smooth 2-manifold
n_dots=30;
x=linspace(0,10,n_dots);
y=linspace(10,0,n_dots);
xmat=repmat(x,n_dots,1);
ymat=repmat(y',1,n_dots);
theta=atan2(ymat,xmat);
imagesc(x,y,theta)
print('/tmp/Scalar_fields_theta_quadrant.eps',"-depsc","-F:20")
print('/tmp/Scalar_fields_theta_quadrant.svg',"-dsvg")
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