| 11. | The transfer function relates the Laplace transform of the input and the output.
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| 12. | Unlike the Fourier transform, the Laplace transform of a moments of the function.
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| 13. | Once solved, use of the inverse Laplace transform reverts to the time domain.
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| 14. | The following table provides Laplace transforms for many common functions of a single variable.
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| 15. | The original differential equation can then be solved by applying the inverse Laplace transform.
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| 16. | As an example of an application of integral transforms, consider the Laplace transform.
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| 17. | This is useful for inverse Laplace transforms, the Perron formula and complex integration.
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| 18. | For instance, a damped sine wave can be modeled correctly using Laplace transforms.
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| 19. | The next most important is the Laplace transform.
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| 20. | Erdelyi also includes Laplace transforms of orthogonal polynomials.
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