Author Topic: Schopenhauer's Philosophy of Mathematics  (Read 10202 times)

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Re: Schopenhauer's Philosophy of Mathematics
« on: June 18, 2017, 05:38:26 pm »
Somewhere in this thread I showed you how tables can be generated in Sage to help plot polar graphs.   Now you can copy and paste it into http://sagecell.sagemath.org to see what I mean:

table([(i,n(cos(2*i), digits=4), cos(2*i)) for i in [0..2*pi+0.1, step=pi/12]], header_row=["$i$", "$cos(2*i)$", "$rational$"], frame=True)

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t = var('t')
p1 = polar_plot(cos(2*t), t, 0, 2*pi)
p2 = polar_plot(sin(2*t), t, 0, 2*pi, linestyle="--")
show(p1 + p2)
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table([(i,n(cos(2*i), digits=4), cos(2*i)) for i in [0..2*pi+0.1, step=pi/8]], header_row=["$i$", "$cos(2*i)$", "$rational$"], frame=True)

« Last Edit: June 18, 2017, 05:40:28 pm by Raskolnikov »
Things They Will Never Tell YouArthur Schopenhauer has been the most radical and defiant of all troublemakers.

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