Gauss's theorem (divergence theorem)
GPTKB entity
Statements (23)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:mathematical_concept
|
| gptkbp:alsoKnownAs |
gptkb:Gauss's_divergence_theorem
gptkb:divergence_theorem |
| gptkbp:appliesTo |
three-dimensional Euclidean space
higher dimensions |
| gptkbp:category |
gptkb:mathematical_concept
|
| gptkbp:expressedIn |
∬_S F · dS = ∭_V (div F) dV
|
| gptkbp:field |
vector calculus
|
| gptkbp:firstPublished |
1813
|
| gptkbp:generalizes |
gptkb:Green's_theorem
|
| https://www.w3.org/2000/01/rdf-schema#label |
Gauss's theorem (divergence theorem)
|
| gptkbp:namedAfter |
gptkb:Carl_Friedrich_Gauss
|
| gptkbp:relatedTo |
gptkb:Stokes'_theorem
divergence of the field inside the surface flux of a vector field through a closed surface |
| gptkbp:requires |
vector field with continuous partial derivatives
closed surface |
| gptkbp:usedIn |
electromagnetism
engineering fluid dynamics physics |
| gptkbp:bfsParent |
gptkb:Louis_Gauss
|
| gptkbp:bfsLayer |
6
|