newForm(n,r,d,varName)
This function defines homogeneous differential forms with generic scalar coefficients. By default, the affine coordinates will be x_0,...,x_n and their exterior derivatives are denoted as dx_0,...,dx_n, respectively.
In this example we define a homogeneous differential 1form with linear polynomial coefficients in 3 variables. The scalar coefficients are chosen to be defined with the variable a. The index of the scalar coefficients will always start with 0.


The object newForm is a method function.