| 1 | initial version |
Consider the first plot line,
p1 = plot(rs(exx = 4, x = 0.0) , (x, 0, .2), color='red' )
And let us see what we are plotting here:
sage: rs(exx = 4, x = 0.0)
(sqrt(-kx^2 + 4) - sqrt(-kx^2 + 1))/(sqrt(-kx^2 + 4) + sqrt(-kx^2 + 1))
Above, kx is a variable, there is no meaning for plotting the above expression for $x$ (which no longer appears, it was silenced to zero, but) running from $0$ to $0.2$.
We have even less chances to plot something for the same $x$-interval for the ser-plot:
sage: ser(exx = 4, x = 0.0)
-(-I*sqrt(kx^2 - 4) + sqrt(-kx^2 + 1))/(I*sqrt(kx^2 - 4) + sqrt(-kx^2 + 1))
Here we can push the $I=\sqrt{-1}$ inside the radicals and compare, getting the same expression from an algebraic point of view.
But why do we plot these expressions?
Copyright Sage, 2010. Some rights reserved under creative commons license. Content on this site is licensed under a Creative Commons Attribution Share Alike 3.0 license.