Electrical engineering basically boils down to the fourier transform, discrete transforms (eg cosine), and their cousins the laplace transform and Z transform.
I believe it is because electricity is fundamentally perfect in its uniform motion providing us to operate quantitative changes of its physical coordination when it is patterned periodically, permitting the extension of imaginary space to physical space via the reliance on the pure numerical relation between experimental measure and The Frequency Domain.
Laplace and z-transform are widely used in control systems and signal processing. Both are more general forms of the Fourier transform in continuous and discrete time, respectively.
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[ 2.1 ms ] story [ 36.1 ms ] threadIt is truly a godsend.
I'd love to hear from someone who's used a Laplace- or z-transform professionally, for any type of engineering. What was your application?