On Tue, May 23, 2023 at 7:21 AM Oscar Benjamin <oscar.j.benja...@gmail.com> wrote:
> On Tue, 23 May 2023 at 06:51, Paul Royik <distantjob...@gmail.com> wrote: > > > > How do I simplify the following expressions: i**(-2*i), (-i)**(-2*i), > ((-sqrt(3) - i)/2)**(-2*i), ((sqrt(3) - i)/2)**(-2*i) ? > > > > Is there any built-in function? > > > > For example, i**(-2*i) should give e^pi and ((sqrt(3) - i)/2)**(-2*i) > should give e^(-pi/3). > > The word "simplify" is ambiguous but I assume from your examples that > In this case, there's a fairly unambiguous meaning for 'simplify'. The expressions are all real, so they should be reexpressed without using i. Aaron Meurer what you want is to rewrite powers as exponentials if possible. If so > that can be done with e.rewrite(exp): > > >>> from sympy import * > >>> i = I > >>> a = i**(-2*i), (-i)**(-2*i), ((-sqrt(3) - i)/2)**(-2*i), ((sqrt(3) - > i)/2)**(-2*i) > >>> [ai.rewrite(exp) for ai in a] > [exp(pi), exp(-pi), exp(-5*pi/3), exp(-pi/3)] > > -- > Oscar > > -- > 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 view this discussion on the web visit > https://groups.google.com/d/msgid/sympy/CAHVvXxSjECmJoTVL6SJ27uzYrXHOWUiqKaMTK0gW6LfJXJrsfQ%40mail.gmail.com > . > -- 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 view this discussion on the web visit https://groups.google.com/d/msgid/sympy/CAKgW%3D6LKcWWMGXbe2fRYk2WRzzsgoB5iAQTa9VdKHokrNne5dQ%40mail.gmail.com.
