Kelvin–Stokes theorem

GPTKB entity

Statements (23)
Predicate Object
gptkbp:instanceOf gptkb:mathematical_concept
gptkbp:alsoKnownAs gptkb:Stokes'_theorem
gptkbp:appliesTo oriented smooth surfaces
vector fields
gptkbp:field gptkb:mathematics
vector calculus
gptkbp:form ∬_S (curl F) · dS = ∮_∂S F · dr
gptkbp:generalizes gptkb:Fundamental_theorem_of_calculus
gptkb:Green's_theorem
Divergence theorem
https://www.w3.org/2000/01/rdf-schema#label Kelvin–Stokes theorem
gptkbp:namedAfter gptkb:William_Thomson,_1st_Baron_Kelvin
gptkb:George_Stokes
gptkbp:relatedTo differential forms
line integrals
surface integrals
gptkbp:state The integral of the curl of a vector field over a surface is equal to the line integral of the vector field over the boundary of the surface.
gptkbp:usedIn electromagnetism
engineering
fluid dynamics
physics
gptkbp:bfsParent gptkb:Sir_William_Thomson_(Lord_Kelvin)
gptkbp:bfsLayer 4