The adjoint operator of the exterior differential d.
2.
One can express any partial differential equation system as an exterior differential system with independence condition.
3.
The graded exterior algebra O ^ * ( Z ) is a graded differential algebra with respect to the graded exterior differential
4.
For instance, we can apply Cartan's method on partial differential equation systems by writing down the exterior differential system associated with it.
5.
Offhand I can think of things like partial derivative, exterior differential, covariant derivative, never mind the boundary operator looking like a partial derivative.
6.
In the calculus of exterior differential forms on a pseudo-Riemannian manifold of dimension, the normalised-form is called the volume form and can be written as
7.
Barr?de Saint-Venant developed a version of vector calculus similar to that of Grassmann ( now understood as exterior differential forms ) which he published in 1845.
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