Hi,
I met a problem when expanding a general function twice:
y = var('y')
f = function('f',var('x'))
g = f(x=var('eps')*y)
h = taylor(g, eps, 0, 1)
taylor(h, eps, 0, 1)
The last expression ends up with an error: NotImplementedError: arguments must be distinct variables
Is it a bug or I got anything wrong? Thanks!
Hello, I'm new to Sage and running into the same problem as you. I think this error happens when the object that you want to Taylor expand has a derivative that is evaluated at a specified point:
x = var('x')
u = function('u', x)
v(x) = u.diff(x)
taylor(u(x = 0), x, 0, 2) #works
taylor(v(x), x, 0, 2) #works
taylor(v(x = 0), x, 0, 2) #doesn't work
v(0) = D[0](u)(0) seems to be the problem, just like, in your case, there is a D[0](f)(0) in the Taylor expansion of g
So my guess is that issue resides in how derivatives evaluated at a fixed point are passed to Maxima..
Asked: 2011-12-16 15:13:28 +0100
Seen: 434 times
Last updated: Dec 23 '11
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.