Statements (29)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
differential operator
|
| gptkbp:appliesTo |
vector field
|
| gptkbp:category |
differential geometry
mathematical analysis |
| gptkbp:component |
cross product
partial derivatives nabla operator |
| gptkbp:coordinates |
gptkb:cylindrical_coordinates
gptkb:spherical_coordinates Cartesian coordinates |
| gptkbp:dimensions |
three-dimensional Euclidean space
|
| gptkbp:field |
vector calculus
|
| gptkbp:form |
∇×F = (∂Fz/∂y - ∂Fy/∂z, ∂Fx/∂z - ∂Fz/∂x, ∂Fy/∂x - ∂Fx/∂y)
|
| gptkbp:hasUnit |
per meter (m⁻¹)
|
| https://www.w3.org/2000/01/rdf-schema#label |
Curl (mathematics)
|
| gptkbp:introduced |
gptkb:James_Clerk_Maxwell
|
| gptkbp:measures |
rotation of a vector field
|
| gptkbp:output |
vector field
|
| gptkbp:relatedTo |
divergence (mathematics)
gradient (mathematics) |
| gptkbp:symbol |
curl
∇× |
| gptkbp:theory |
gptkb:Stokes'_theorem
|
| gptkbp:usedIn |
gptkb:Maxwell's_equations
electromagnetism fluid dynamics |
| gptkbp:zeroIf |
vector field is conservative
|
| gptkbp:bfsParent |
gptkb:Curl_Expression
|
| gptkbp:bfsLayer |
7
|