This routine is part of the liesymm package and is loaded via with(liesymm) .

It computes the exterior derivative of the differential form form with respect to the coordinates defined by setup() .

For coordinate x, $d\left(x\right)$ is a 1-form, and $d\left(d\left(x\right)\right)=0$.

Expressions not involving the coordinates are treated as constants. The coordinate list is given by wedgeset(0).

$\mathrm{with}\left(\mathrm{liesymm}\right)\:$

$\mathrm{setup}\left(x\,y\,z\right)$

$\left[x\,y\,z\right]$

$\mathrm{map}\left(d\,\right)$

$\left[d\left(x\right)\,d\left(y\right)\,d\left(z\right)\right]$

$d\left(x^{2}d\left(x\right)\right)$

$0$

$d\left(x+y\right)$

$d\left(x\right)+d\left(y\right)$

$d\left(zd\left(x\right)\&ˆd\left(y\right)\right)$

$\mathrm{\&^}\left(d\left(y\right)\,d\left(z\right)\,d\left(x\right)\right)$

$d\left(\frac{1}{c}d\left(x\right)\&ˆd\left(y\right)\right)$

$0$