Stokes' sætning er den opsigtsvækkende påstand at integralet af F langs randkurven, C er lig fluxintegralet af F's rotation gennem fladen, S som vi ved, er lig fladeintegralet af normalkomponenten af rotationen - - hen over fladen, S.
Stokes' theorem is the remarkable statement that the line integral of F along C is equal to the flux integral of the curl of F through the surface S, which we know is the surface integral of the normal component of the curl along the surface S.