Statements (55)
Predicate | Object |
---|---|
gptkbp:instanceOf |
mathematical operator
|
gptkbp:appliesTo |
vector fields
scalar fields |
gptkbp:defines |
∂²/∂t² - ∇²
|
gptkbp:hasSpecialty |
hyperbolic operator
self-adjoint operator linear_operator |
https://www.w3.org/2000/01/rdf-schema#label |
D'Alembert operator
|
gptkbp:isAvenueFor |
theoretical physics
engineering computer simulations |
gptkbp:isPartOf |
differential geometry
numerical methods mathematical analysis functional analysis |
gptkbp:isRelatedTo |
Fourier transforms
mathematical physics signal processing wave propagation causality wavefronts Green's functions boundary value problems initial value problems Lorentz_invariance |
gptkbp:isUsedBy |
analyze wave phenomena
examine stability model physical systems solve wave equations study vibrations |
gptkbp:isUsedIn |
string theory
optics fluid dynamics mathematical modeling thermodynamics acoustic waves computational physics electromagnetic theory statistical mechanics acoustics chaos theory nonlinear dynamics applied mathematics seismology electromagnetic waves mathematical physics literature generalized functions quantum_mechanics |
gptkbp:namedAfter |
gptkb:Jean_le_Rond_d'Alembert
|
gptkbp:relatedTo |
partial differential equations
Laplacian operator |
gptkbp:symbolizes |
□
|
gptkbp:usedIn |
general relativity
wave equations quantum_field_theory |