MathLiveLaplace transform
Converts a function of time f(t) into a function of the complex frequency s by integrating its product with e^(-st) from zero to infinity. It is widely used to solve linear differential equations and analyse control and signal systems.
\left(\mathcal{L} f\right)(s) = \int_{0}^{\infty} e^{-st} f(t)\,\mathrm{d}tWhat the symbols mean
| Laplace transform of f, a function of the complex frequency s | |
| complex frequency variable | |
| time variable (nonnegative real) | |
| original function of time |
About this formula
- FieldMathematics
- TopicIntegral transforms
- LevelUniversity
- Also calledone-sided Laplace transform, Laplace domain, Laplace transform definition, integral transform of f(t)
- SourceWikidata Q199691
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