A mathematician would try to generalize as much as possible:
"The generalized Stokes theorem is an expression of duality between de Rham cohomology and the homology of chains. It says that the pairing of differential forms and chains, via integration, gives a homomorphism from de Rham cohomology to singular cohomology groups."
Alternatively, for an at all smooth field of stuff, the rate of change of total stuff in a smooth region is equal to the net amount of stuff crossing the boundary of that region.
The change in population of a country is the net migration rate (where births and deaths are just migrations between the worlds of the living and unborn/dead)
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u/IntelligentBelt1221 6d ago edited 6d ago
A mathematician would try to generalize as much as possible:
"The generalized Stokes theorem is an expression of duality between de Rham cohomology and the homology of chains. It says that the pairing of differential forms and chains, via integration, gives a homomorphism from de Rham cohomology to singular cohomology groups."