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gptkbp:instanceOf
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gptkb:mathematical_concept
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gptkbp:application
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gptkb:Optics
Astronomy
Electronics
Engineering
Meteorology
Music
Telecommunications
Geophysics
Oceanography
Medical imaging
Non-destructive testing
Seismology
Structural analysis
Antenna theory
Acoustic engineering
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gptkbp:describes
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Propagation of waves
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gptkbp:dimensions
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Two-dimensional
Three-dimensional
One-dimensional
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gptkbp:field
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gptkb:Mathematics
gptkb:Physics
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gptkbp:form
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∂²u/∂t² = c²∇²u
Second-order linear PDE
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gptkbp:governs
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Sound waves
Light waves
Water waves
Vibrations of strings
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https://www.w3.org/2000/01/rdf-schema#label
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Wave Equations
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gptkbp:introducedIn
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1746
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gptkbp:property
|
Linearity
Superposition principle
Finite propagation speed
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gptkbp:relatedTo
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gptkb:Maxwell's_equations
gptkb:Schrödinger_equation
D'Alembert's formula
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gptkbp:solvedBy
|
gptkb:Fourier_transform
gptkb:Green's_function
Separation of variables
|
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gptkbp:studiedBy
|
gptkb:Daniel_Bernoulli
gptkb:Joseph-Louis_Lagrange
gptkb:Leonhard_Euler
gptkb:Jean_le_Rond_d'Alembert
|
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gptkbp:type
|
Partial differential equation
|
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gptkbp:usedIn
|
gptkb:Electromagnetism
gptkb:Acoustics
gptkb:Quantum_mechanics
Fluid dynamics
|
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gptkbp:bfsParent
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gptkb:Sine_Function
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gptkbp:bfsLayer
|
7
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