Laplace Transform, Fouier Transform or.... Giorgi Operator?
Laplace Transform, Fouier Transform or.... Giorgi Operator?
(OP)
Anybody knows about Heavisude-Giorgi Operator, called "p" as far as I managed to understand?
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Laplace Transform, Fouier Transform or.... Giorgi Operator?
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RE: Laplace Transform, Fouier Transform or.... Giorgi Operator?
RE: Laplace Transform, Fouier Transform or.... Giorgi Operator?
Heaviside-Giorgi maybe, but I also didn't find that much.
I only know that "pure electrotechnical engineers" do not use the Laplace Transform, but the Giorgi operator, called "p". Everything works as if it was the Laplace transform.
mathematical definition of that operator I haven't seen, unfortunately.
It's an old question that I have in my mind, and sometimes I google-search for it, but I have never found any relevant information or answer; I was hoping that here somebody had heard or used it. Just curiosity
RE: Laplace Transform, Fouier Transform or.... Giorgi Operator?
a = < (angle) 120 degree
a^2 = < 240 degree
....
I need my Electrotechnics book to confirm these...
RE: Laplace Transform, Fouier Transform or.... Giorgi Operator?
that's interesting, I cant imagine anything being simpler and better than the Laplace transform. I recently had to calculate inductor values by switching a voltage across an RL series circuit and noting the rate of voltage rise across the resistor.
Use of Laplace transforms and a spreadsheet then quickly and easily provides the inductor value. I can't imagine anything being simpler or better to use in place of the Laplace transform in this case.
I've heard about (George?) Heaviside. He was, i am told, a practical type who apparently derived system transfer functions using an applied "unit-step" or an impulse input. Apparently, his lack of adherence to the mathematical "status-quo" of his day brought him derision from the then classical mathematical fraternity.....though his work, i believe, was useful in understanding Fourier/Laplace theory etc....i was told that he was regarded as eccentric though i am sure he was not.
RE: Laplace Transform, Fouier Transform or.... Giorgi Operator?
http://en.wikipedia.org/wiki/Heaviside
RE: Laplace Transform, Fouier Transform or.... Giorgi Operator?
http://en.wikipedia.org/wiki/Ennio_de_giorgi
RE: Laplace Transform, Fouier Transform or.... Giorgi Operator?
Many other mathematical pages branck from there...
http://
RE: Laplace Transform, Fouier Transform or.... Giorgi Operator?
Anyway what I understood is that "Giorgi" (and Heaviside) got the idea of substituting the operator "d/dt" in linear differential equations with the "p". Then everything was very similar to the today's Laplace transform (instead of "p" it is "s") or with the modern algebra, where "d/dt" is a linear operator, called "D".
But... I don't find any reference on that... Strange
RE: Laplace Transform, Fouier Transform or.... Giorgi Operator?