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gptkbp:instanceOf
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gptkb:integral
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gptkbp:application
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circuit analysis
solving linear ordinary differential equations
system analysis
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gptkbp:defines
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L{f(t)} = ∫₀^∞ e^{-st} f(t) dt
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gptkbp:designer
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inverse Laplace transform
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gptkbp:domain
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gptkb:complex_plane
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gptkbp:field
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gptkb:mathematics
engineering
physics
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https://www.w3.org/2000/01/rdf-schema#label
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Laplace transform
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gptkbp:introducedIn
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18th century
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gptkbp:mappedFrom
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time domain
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gptkbp:mapType
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complex frequency domain
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gptkbp:namedAfter
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gptkb:Pierre-Simon_Laplace
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gptkbp:notation
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L{f(t)}
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gptkbp:property
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gptkb:convolution_theorem
linearity
differentiation in time domain
final value theorem
frequency shifting
initial value theorem
integration in time domain
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gptkbp:regionOfConvergence
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right half-plane for causal signals
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gptkbp:relatedTo
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gptkb:Fourier_transform
gptkb:Z-transform
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gptkbp:usedIn
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gptkb:signal_processing
control theory
partial differential equations
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gptkbp:variant
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t
s
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gptkbp:bfsParent
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gptkb:signal_processing
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gptkbp:bfsLayer
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4
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