Sage has recently acquired a large set of tools relative to manifolds <https://sagemanifolds.obspm.fr/>. A look at these tools and related tutorials/references may be in order…
HTH, Le samedi 23 janvier 2021 à 23:17:26 UTC+1, cseb...@gmail.com a écrit : > What you intend to do isn’t really clear… Could you try and clear your >> goals ? >> > Emmanuel > > Thanks so much for your help. I'm trying to show that the wave equation ( > https://en.wikipedia.org/wiki/Wave_equation) > is invariant under a certain coordinate transformation called the Lorentz > transformation (special relativity). > > I represent the function that obeys the wave equation in the primed > coordinate system by f(xp, yp, zp, tp). > > I also represent the primed coordinates by the coordinates in the unprimed > coordinate system. > Therefore, f(xp, yp, zp, tp) = f(xp(x, y, z, t), yp(x, y, z, t), zp(x, > y, z, t), tp(x, y, z, t)). > > I then find a bunch of derivates of f(xp(x, y, z, t), yp(x, y, z, t), > zp(x, y, z, t), tp(x, y, z, t)) and try to collect terms. > > All the coordinates should be real numbers. > > Does that explain everything? > > > > -- You received this message because you are subscribed to the Google Groups "sage-support" group. To unsubscribe from this group and stop receiving emails from it, send an email to sage-support+unsubscr...@googlegroups.com. To view this discussion on the web visit https://groups.google.com/d/msgid/sage-support/068e5ac0-1d78-453f-a465-bc84e1d1fc90n%40googlegroups.com.
