Statements (33)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:mathematical_concept
|
| gptkbp:application |
gptkb:probability_theory
control engineering signal analysis mechanical systems system modeling electrical circuits |
| gptkbp:appliesTo |
linear time-invariant systems
|
| gptkbp:domain |
complex numbers
|
| gptkbp:field |
gptkb:mathematics
engineering physics |
| gptkbp:hasInverse |
inverse Laplace transform
|
| https://www.w3.org/2000/01/rdf-schema#label |
Laplace transforms
|
| gptkbp:introducedIn |
18th century
|
| gptkbp:mapType |
function of time to function of complex frequency
|
| gptkbp:namedAfter |
gptkb:Pierre-Simon_Laplace
|
| gptkbp:notation |
L{f(t)}
|
| gptkbp:property |
gptkb:convolution_theorem
linearity differentiation in time domain final value theorem frequency shifting initial value theorem integration in time domain |
| gptkbp:relatedTo |
gptkb:Fourier_transform
gptkb:Z-transform |
| gptkbp:usedFor |
gptkb:signal_processing
control theory solving differential equations |
| gptkbp:variant |
s
|
| gptkbp:bfsParent |
gptkb:Dorothy_Lewis_Bernstein
|
| gptkbp:bfsLayer |
5
|