Hello, On Feb 23, 5:25 am, Ronan Lamy <[email protected]> wrote: > The conventional definition of the order of the expansion is that it's > the degree of the last term included in the polynomial approximation, so > one less than the order of the excluded terms. Your example is a > second-order expansion, because it gives a second-order approximation.
I agree up to a small detail: consider for example f(x)=cos(x). The Taylor expansion of order 2 is usually written as cos(x) = 1 - 0.5 x^2 + O(x^4) Note the order term of the remainder term - is O(x^4) rather than O(x^3) as all uneven powers in the (Taylor) expansion of cos(x) are 0. Mathematica doesn't do this, however I want to suggest this behaviour for SymPy. Cheers Alex -- You received this message because you are subscribed to the Google Groups "sympy" group. To post to this group, send email to [email protected]. To unsubscribe from this group, send email to [email protected]. For more options, visit this group at http://groups.google.com/group/sympy?hl=en.
