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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
|