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History Of Laplace Transform
4 páginas
Publicado por
Nisha Goyal
History Of Laplace Transform
The Laplace transform is a widely used integral transform with many applications in
physics and engineering.
Denoted , it is a linear operator of a function f(t) with a real
argument t (t ≥ 0) that...
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History Of Laplace Transform
The Laplace transform is a widely used integral transform with many applications in
physics and engineering.
Denoted , it is a linear operator of a function f(t) with a real
argument t (t ≥ 0) that transforms it to a function F(s) with a complex argument s.
This transformation is essentially bijective for the majority of practical uses; the
respective pairs of f(t) and F(s) are matched in tables.
The Laplace transform has the
useful property that many relationships and operations over the originals f(t)
correspond to simpler relationships and operations over the images F(s).
It is named for Pierre-Simon Laplace, who introduced the transform in his work on
probability theory.
The Laplace transform is related to the Fourier transform, but whereas
the Fourier transform expresses a function or signal as a series of modes of vibration
(frequencies), the Laplace transform resolves a function into its moments.
Like the Fourier transform, the Laplace transfor
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