On Mar 7, 1:49 pm, JanPB wrote:

A quick typo correction (important). I wrote:

No. Field equations don't know anything about bases just like standard
scalar PDEs. The latter are equations for _scalar functions_ (smoothly
varying numbers), the former are equations for _tensors_ (smoothly
varying multilinear maps). In either case bases don't enter into it as
they are at the end of the day merely assignments of numbers to the
input data (points in the scalar case, points and vectors/covectors in
the second).

In the last sentence the word "they" refers to "functions" and
"tensors" in the previous sentence, NOT to "bases".

(This is what happenes when you edit quickly.)

--
Jan Bielawski