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
|