This morning I figured out how to plot the modulus of a complex function in
sage. In my travails I wondered why the first snippet works, but the
second does not? Is there any easy way to make the second snippet work?
#Plot the modulus of the function, works
var('z',domain=CC)
var('x y', domain=RR)
var('rp ip')
z=x+i*y
rp = (2+z.conjugate()+z^3).real()
ip = (2+z.conjugate()+z^3).imag()
m(x,y) = sqrt(rp^2+ip^2)
plot3d(m(x,y).simplify(),(x,-1.5,1.5),(y,-1.5,1.5))
My question is, why doesn't this work?
#Plot the modulus of the function, fails
var('z',domain=CC)
var('x y', domain=RR)
z=x+i*y
m(x,y) = abs(2+z.conjugate()+z^3)
plot3d(m(x,y),(x,-1.5,1.5),(y,-1.5,1.5))
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