Statements (18)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:mathematical_concept
|
| gptkbp:alsoKnownAs |
gptkb:divergence_theorem
|
| gptkbp:appliesTo |
three-dimensional Euclidean space
|
| gptkbp:field |
vector calculus
|
| gptkbp:firstPublished |
1813
|
| gptkbp:form |
∬_S F · dS = ∭_V (∇ · F) dV
|
| gptkbp:generalizes |
gptkb:Stokes'_theorem
gptkb:Green's_theorem |
| https://www.w3.org/2000/01/rdf-schema#label |
Gauss's theorem
|
| gptkbp:namedAfter |
gptkb:Carl_Friedrich_Gauss
|
| gptkbp:relatedTo |
divergence of a vector field
flux of a vector field |
| gptkbp:state |
the flux of a vector field through a closed surface equals the volume integral of the divergence over the region inside the surface
|
| gptkbp:usedIn |
electromagnetism
engineering fluid dynamics |
| gptkbp:bfsParent |
gptkb:divergence_theorem
|
| gptkbp:bfsLayer |
6
|