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Laplace transform

Also known as Laplace domain, one-sided Laplace transform

the integral transform ∫₀^∞ d𝑠 𝑓(𝑡)⁢exp(−𝑠𝑡)

AI overview

The Laplace transform is a mathematical tool that converts a function of time into a new function by integrating it against an exponential decay curve, effectively translating time-based problems into a different mathematical space. This transformation is useful because many equations that are difficult to solve in their original form become much simpler to handle in the transformed space, making it a practical technique for engineers and scientists working with systems that change over time.

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Wikidata facts

Image: Laplace transform visual.png

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short name: 拉氏变换
Commons category: Laplace transformation
Stack Exchange tag: dsp.stackexchange.com/tags/laplace-transform

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Article

In mathematics, the Laplace transform, named after Pierre-Simon Laplace (/ləˈplɑːs/), is an integral transform that converts a function of a real variable (usually ⁠