#
Differential Forms

## Initialization

Run the following code to initialize $\LaTeX$ output and load some macros,
either by clicking on "Evaluate" or by typing Shift+Enter.

Now enter a line element in the box below, adapting the given code as
needed. First declare any parameters or functions, then provide a list of
(orthogonal) coordinates using the `MakeC`

command as shown below
(note the double parentheses). Finally, use the `Makeg`

command
to enter both the signature (number of $-$ signs) and the diagonal
coefficients ($g_{ii}$) of the line element $ds^2=g_{ij}dx^idx^j$. The result
should be the volume element $\omega$.

## Code

Now run the Sage code in the boxes below. (You can also enter your own code.)