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Definition of Laplace Transform

Let f (t) be a function of time which is zero for t < 0 and which is arbitrarily defined for t > 0, subject to some mild conditions. Then the Laplace Transform of the function f (t), denoted by F (s) is defined as,
Description: 4774.png
Thus, the operator [ ] transforms f(t), which is in time domain, into F(s), which is in the complex frequency domain, or simply the s-domain, where,
s = Complex frequency (unit is in Hz) = (σ + jω)
where, σ = Real part of s = neper frequency and ω = Imaginary part of s = radian frequency.

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