| 1. | The Laplace transform is invertible on a large class of functions.
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| 2. | The transfer function is the Laplace transform of the impulse response.
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| 3. | The Laplace transform does the same thing, but more generally.
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| 4. | The Laplace transform is very similar to the Fourier transform.
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| 5. | Then the Laplace Stieltjes transform of and the Laplace transform of coincide.
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| 6. | For example, the function has a Laplace transform whose ROC is.
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| 7. | The solutions are exactly the same as those obtained via Laplace transforms.
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| 8. | The Laplace transform of \ psi ( \ tau ) is defined by
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| 9. | Laplace transforms are usually restricted to functions of with.
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| 10. | Laplace transforms are used to solve partial differential equations.
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