Recent content by mjtsquared

The fundamental theorem of algebra states that any polynomial has at least one root. But one can extend this by using the polynomial remainder theorem and say that any polynomial of degree n has exactly n number of roots, counting the multiplicity. There's another theorem, the complex conjugate...

If a Laplace transform has a region of convergence starting at Re(s)=0, does the Laplace transform evaluated at the imaginary axis exist? I.e. say that the Laplace transform of 1 is 1/s. Does this Laplace transform exist at say s=i?

An LTI circuit such as one composed of resistors, capacitors, and inductors, in general is a stable LTI system, i.e. its impulse response is one that decays over time. I have no problem with that, as it speaks for itself through laws of energy conservation, but I want to see this from a...

Hello there, I am a self-learner in maths and electronics. I can't really provide so much knowledge, but satisfying my curiosities is the best feeling ever!