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Laplace transform

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Laplace transform

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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.

AI-generated from the Wikipedia summary — may contain errors.

~40 min read

Encyclopedic overview

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

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Excerpted from Wikipedia’s “Laplace transform” article, available under the CC BY-SA 4.0 licence.

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