> We can already solve that one using LambertW (but we need to implement > all the branches, > https://code.google.com/p/sympy/issues/detail?id=4006).
Oh, that was just an example. In this case on can simplify the TransRootOf object. > Can these work with trig functions (via equivalence from complex > exponentials)? Without going to the details, yes. But it depends on the arguments, things with infinitely many oscillations will cause heavy difficulties. In fact the definition of "tame expression" is "An elementary expression is tame if the arguments of its trigonometric subexpressions are bounded." See def 1.5 and example 1.6 from "Real Root Isolation for Tame Elementary Functions" for the details. > A more classic example of a root that can't be > expressed in closed-form is cos(x) = x. Except if we define another special function for that ;-) It depends all the time on what exactly "closed form" means. The integral of exp(-x**2) can be done in closed form but the form is not elementary as you know. -- You received this message because you are subscribed to the Google Groups "sympy" group. To unsubscribe from this group and stop receiving emails from it, send an email to sympy+unsubscr...@googlegroups.com. To post to this group, send email to sympy@googlegroups.com. Visit this group at http://groups.google.com/group/sympy. For more options, visit https://groups.google.com/groups/opt_out.
