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Statements (22)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:mathematical_concept
|
| gptkbp:alsoKnownAs |
generalized Stokes' theorem
|
| gptkbp:appliesTo |
differentiable manifolds
oriented manifolds |
| gptkbp:field |
gptkb:mathematics
vector calculus |
| gptkbp:generalizes |
gptkb:Green's_theorem
gptkb:divergence_theorem gptkb:fundamental_theorem_of_calculus |
| https://www.w3.org/2000/01/rdf-schema#label |
Stokes' theorem
|
| gptkbp:namedAfter |
gptkb:George_Gabriel_Stokes
|
| gptkbp:publishedIn |
19th century
|
| gptkbp:relatedTo |
differential forms
line integrals surface integrals |
| gptkbp:state |
The integral of a differential form over the boundary of some orientable manifold is equal to the integral of its exterior derivative over the whole manifold.
|
| gptkbp:usedIn |
electromagnetism
engineering fluid dynamics physics |
| gptkbp:bfsParent |
gptkb:Sir_George_Gabriel_Stokes
|
| gptkbp:bfsLayer |
4
|