Add plots with different ymin, ymax parameters?

edit

Good question.

The reason for this behavior is that ymax and friends are not in fact parameters for plot, but for show; we just pass those parameters on to show(). Presumably we overwrite them - you can verify this by looking at the output of this.

sage: p+q 
sage: q+p

I don't see an obvious way to fix this without rewriting the code substantially. However, this may work as a workaround for you.

sage: p1 = line([(a,b) for a,b in zip(p[0].xdata,p[0].ydata) if (b>=-1 and b<=1)])
sage: q1 = line([(a,b) for a,b in zip(q[0].xdata,q[0].ydata) if (b>=0 and b<=4)])
sage: p1+q1

We're using the fact that a Graphics object has various subobjects, and for a basic plot there is one of them which we access as the "zeroth" one, and its xdata and ydata are hopefully self-explanatory. Then we use a Python list comprehension and create a line from that data, which after all is what a plot of a function turns out to be.

Good luck!

You can use parasites. This is a notebook I had on my machine. I has three plots with three different y axes.

from mpl_toolkits.axes_grid1 import host_subplot
import mpl_toolkits.axisartist as AA
import matplotlib.pyplot as plt

host = host_subplot(111, axes_class=AA.Axes)
plt.subplots_adjust(right=0.75)

par1 = host.twinx()
par2 = host.twinx()

offset = 60
new_fixed_axis = par2.get_grid_helper().new_fixed_axis
par2.axis["right"] = new_fixed_axis(loc="right",
                                        axes=par2,
                                        offset=(offset, 0))

par2.axis["right"].toggle(all=True)



host.set_xlim(0, 2)
host.set_ylim(0, 4)

host.set_xlabel("Distance")
host.set_ylabel("Density")
par1.set_ylabel("Temperature")
par2.set_ylabel("Velocity")

p1, = host.plot([0, 1, 2], [0, 1, 4], label="Density")
p2, = par1.plot([2, 4, 7], label="Temperature")
p3, = par2.plot([5, 8, 9], label="Velocity")

par1.set_ylim(0, 40)
par2.set_ylim(1, 65)

host.axis["left"].label.set_color(p1.get_color())
par1.axis["right"].label.set_color(p2.get_color())
par2.axis["right"].label.set_color(p3.get_color())

plt.draw()
plt.savefig('test.png')