Statements (21)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:mathematical_concept
|
| gptkbp:alsoKnownAs |
gptkb:divergence_theorem
|
| gptkbp:appliesTo |
three-dimensional Euclidean space
|
| gptkbp:category |
theorems in mathematics
theorems in calculus |
| gptkbp:expressedIn |
∬_S F · dS = ∭_V div F dV
|
| gptkbp:field |
vector calculus
|
| https://www.w3.org/2000/01/rdf-schema#label |
Gauss–Ostrogradsky theorem
|
| gptkbp:namedAfter |
gptkb:Carl_Friedrich_Gauss
gptkb:Mikhail_Ostrogradsky |
| gptkbp:relatedTo |
surface integrals
divergence flux volume integrals |
| gptkbp:state |
the flux of a vector field through a closed surface is equal to the volume integral of the divergence over the region inside the surface
|
| gptkbp:usedIn |
electromagnetism
engineering fluid dynamics physics |
| gptkbp:bfsParent |
gptkb:Louis_Gauss
|
| gptkbp:bfsLayer |
6
|