Statements (19)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:mathematical_concept
|
| gptkbp:appliesTo |
plane regions
|
| gptkbp:category |
theorems in mathematics
theorems in calculus |
| gptkbp:field |
gptkb:mathematics
vector calculus |
| gptkbp:form |
∮_C (L dx + M dy) = ∬_D (∂M/∂x - ∂L/∂y) dA
|
| gptkbp:hasSpecialCase |
gptkb:Kelvin–Stokes_theorem
|
| https://www.w3.org/2000/01/rdf-schema#label |
Green's theorem
|
| gptkbp:namedAfter |
gptkb:George_Green
|
| gptkbp:relatedTo |
line integrals
double integrals |
| gptkbp:state |
The line integral around a simple closed curve C is equal to the double integral over the region D bounded by C of the partial derivatives.
|
| gptkbp:usedIn |
engineering
physics |
| gptkbp:yearProposed |
1828
|
| gptkbp:bfsParent |
gptkb:Kelvin–Stokes_theorem
gptkb:Stokes'_theorem |
| gptkbp:bfsLayer |
5
|