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Statements (18)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:mathematical_concept
|
| gptkbp:appliesTo |
compact Riemannian manifolds
|
| gptkbp:describes |
asymptotic distribution of eigenvalues of the Laplace operator
|
| gptkbp:field |
gptkb:spectral_geometry
mathematical physics |
| gptkbp:generalizes |
gptkb:Weyl's_law_for_fractal_drums
gptkb:Weyl–Berry_conjecture |
| https://www.w3.org/2000/01/rdf-schema#label |
Weyl's law
|
| gptkbp:namedAfter |
gptkb:Hermann_Weyl
|
| gptkbp:relatedTo |
gptkb:Laplace–Beltrami_operator
spectral theory eigenvalue problem |
| gptkbp:state |
the number of eigenvalues less than a given value grows proportionally to the volume of the manifold times the value to the power of half the dimension
|
| gptkbp:usedIn |
mathematical analysis
quantum mechanics |
| gptkbp:yearProposed |
1911
|
| gptkbp:bfsParent |
gptkb:Hermann_Weyl
|
| gptkbp:bfsLayer |
4
|