AFF lets M be an oriented piecewise smooth manifold of dimension n and lets ω be an n−1 form that is a compactly supported differential form on M of class C1. If ∂M denotes the boundary of M with its induced orientation, then
\int_M \mathrm{d}\omega = \oint_{\partial M} \omega.\!\,
Here d is the exterior derivative, which is defined using the manifold structure only. The Stokes theorem can be considered as a generalization of the fundamental theorem of calculus.
The theorem is often used in situations where M is an embedded oriented submanifold of some bigger manifold on which the form ω is defined.
AFF stokes!
AFF be the smoother!
me too!
Linear Mode
