Summary

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; # a small number of points - keep postscript file size small
x=linspace(-1,1,n_dots);
y=linspace(-1,1,n_dots);
xmat=repmat(x,n_dots,1);
ymat=repmat(y',1,n_dots);
theta=atan2(ymat,xmat);
imagesc(x,y,theta)
xlabel('{\fontsize{28} scalar field  \theta}')
hold on
plot([-1 0], [0 0],'-w','linewidth',10) ## emphasise the coordinate singularity
print('/tmp/Scalar_fields_theta.eps',"-depsc","-F:20")
print('/tmp/Scalar_fields_theta.svg',"-dsvg")

Licensing

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