Statements (22)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:mathematical_concept
|
| gptkbp:describes |
fundamental solution to the heat equation
|
| gptkbp:example |
Gaussian function on Euclidean space
|
| gptkbp:field |
gptkb:mathematics
differential geometry partial differential equations |
| https://www.w3.org/2000/01/rdf-schema#label |
heat kernel
|
| gptkbp:namedAfter |
gptkb:heat_equation
|
| gptkbp:property |
integrates to one over the manifold
is a function of two points and time is positive is symmetric in its spatial arguments satisfies the semigroup property |
| gptkbp:relatedTo |
gptkb:heat_equation
gptkb:Green's_function |
| gptkbp:usedIn |
gptkb:probability_theory
gptkb:quantum_field_theory spectral theory index theory analysis of manifolds |
| gptkbp:bfsParent |
gptkb:Riemannian_manifold
|
| gptkbp:bfsLayer |
5
|