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Laplace Transform Derivations and Proofs by Mosa A Shorman is a document available to read on EtoBox.
The Laplace transform of the floor function floor(t/a) is equal to e−as / (s(1 - e−as)). This is proven over 3 steps: (1) the Laplace transform is written as an infinite series involving integrals of floor(t) between integer values, (2) the integrals are evaluated, (3) the resulting infinite series is summed to arrive at the final expression.
- Author
- Mosa A Shorman
- Language
- EN