Statements (23)
Predicate | Object |
---|---|
gptkbp:instanceOf |
gptkb:mathematical_concept
|
gptkbp:appliesTo |
vector fields
scalar fields |
gptkbp:dimensions |
three-dimensional space
|
gptkbp:field |
mathematical analysis
vector calculus |
gptkbp:firstIdentity |
relates volume integral of Laplacian to surface integral
|
gptkbp:generalizes |
higher dimensions
integration by parts |
https://www.w3.org/2000/01/rdf-schema#label |
Green's identities
|
gptkbp:namedAfter |
gptkb:George_Green
|
gptkbp:numberOfIdentities |
3
|
gptkbp:relatedTo |
gptkb:Stokes'_theorem
gptkb:Green's_theorem gptkb:divergence_theorem |
gptkbp:secondIdentity |
relates two scalar functions and their Laplacians
|
gptkbp:thirdIdentity |
special case of second identity
|
gptkbp:usedIn |
mathematical physics
partial differential equations potential theory |
gptkbp:bfsParent |
gptkb:Laplace_operator
gptkb:Green's_function |
gptkbp:bfsLayer |
6
|