Two-Sided Laplace Transform
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High Quality Content by WIKIPEDIA articles! In mathematics, the two-sided Laplace transform or bilateral Laplace transform is an integral transform closely related to the Fourier transform, the Mellin transform, and the ordinary or one-sided Laplace transform.In science and engineering applications, the argument t often represents time (in seconds), and the function (t) often represents a signal or waveform that varies with time. In these cases, (t) is called the time domain representation of the signal, while F(s) is called the frequency domain representation. The inverse transformation then…mehr

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High Quality Content by WIKIPEDIA articles! In mathematics, the two-sided Laplace transform or bilateral Laplace transform is an integral transform closely related to the Fourier transform, the Mellin transform, and the ordinary or one-sided Laplace transform.In science and engineering applications, the argument t often represents time (in seconds), and the function (t) often represents a signal or waveform that varies with time. In these cases, (t) is called the time domain representation of the signal, while F(s) is called the frequency domain representation. The inverse transformation then represents a synthesis of the signal as the sum of its frequency components taken over all frequencies, whereas the forward transformation represents the analysis of the signal into its frequency components.