Status: New
Owner: ----
Labels: Type-Defect Priority-Medium WrongResult
New issue 3723 by [email protected]: Multivariate Order()
http://code.google.com/p/sympy/issues/detail?id=3723
Long time ago, we have: O((x + y)**2, x, y) == O(x**2 + x*y+ y**2, x, y) ==
O((x + 2*y)**2, x, y). I'm not sure at all, that this is correct. And to
preserve such kind of transformations, I had to keep costly expand() call
for multivariate O (see issue 3654).
Sadly, but we don't have any formal definition of O(f(x,y),x,y). Moreover,
the sentence "O(f(x, y), x, y) is transformed to O(f(x,
y).as_leading_term(x,y).as_leading_term(y), x, y)" in the docstring for
Order - seems to be wrong too (e.g., check that for f = x*(x + y)).
PS: see some discussion in https://github.com/sympy/sympy/pull/1930
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