Statements (51)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:transformation
|
| gptkbp:application |
gptkb:probability_theory
communications control engineering dynamical systems electrical engineering mechanical engineering mathematical modeling filter design signal analysis system stability analysis |
| gptkbp:category |
gptkb:integral
applied mathematics complex analysis mathematical analysis |
| gptkbp:defines |
L{f(t)} = ∫₀^∞ e^{-st} f(t) dt
|
| gptkbp:designer |
Inverse Laplace Transform
|
| gptkbp:domain |
complex numbers
real numbers |
| gptkbp:field |
gptkb:mathematics
gptkb:signal_processing control theory engineering physics |
| gptkbp:firstPublished |
1812
|
| gptkbp:generalizes |
gptkb:bilateral_Laplace_Transform
gptkb:unilateral_Laplace_Transform |
| gptkbp:hasTable |
Laplace Transform table
|
| https://www.w3.org/2000/01/rdf-schema#label |
Laplace Transform
|
| gptkbp:mappedFrom |
time domain
|
| gptkbp:mapType |
complex frequency domain
|
| gptkbp:namedAfter |
gptkb:Pierre-Simon_Laplace
|
| gptkbp:notation |
L{f(t)}
F(s) |
| gptkbp:property |
gptkb:convolution_theorem
linearity differentiation in time domain final value theorem frequency shifting initial value theorem |
| gptkbp:relatedTo |
gptkb:Fourier_Transform
gptkb:Z-transform gptkb:Mellin_Transform |
| gptkbp:usedFor |
control systems
solving differential equations circuit analysis system analysis |
| gptkbp:variant |
s
|
| gptkbp:bfsParent |
gptkb:Signal_Processing
gptkb:Digital_Filters |
| gptkbp:bfsLayer |
5
|