Stokes' theorem in vector calculus
GPTKB entity
Statements (20)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:mathematical_concept
|
| gptkbp:appliesTo |
oriented smooth surfaces
vector fields |
| gptkbp:field |
vector calculus
|
| gptkbp:form |
∬_S (curl F) · dS = ∮_∂S F · dr
|
| gptkbp:generalizes |
gptkb:Green's_theorem
|
| https://www.w3.org/2000/01/rdf-schema#label |
Stokes' theorem in vector calculus
|
| gptkbp:introducedIn |
1850
|
| gptkbp:namedAfter |
gptkb:George_Gabriel_Stokes
|
| gptkbp:relatedTo |
gptkb:Green's_theorem
gptkb:divergence_theorem 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 its boundary.
|
| gptkbp:usedIn |
gptkb:mathematics
engineering physics |
| gptkbp:bfsParent |
gptkb:George_Gabriel_Stokes
|
| gptkbp:bfsLayer |
6
|