From my post about the shape of an impulse, sir eric shared a link and I got this. "The waveform shape, peak voltage, impedance, and application of the pulse varies among standards." However, after knowing that the area it covers is a unit area, another question came out of my mind. That is the lowest approximation we can give to the impulse. Failing to connect the information that I have which is the quoted one and the area, I still raised that question. From the reply of crutschow I realized that the answer to my question was already within the information I have. I regard it as a lack of common sense.
my opinion:
The use of equations is to dig deeper into the details. Supposing we have a control system with transfer function T(s)=P(s)/Q(s) and we are trying to get its impulse response to determine if the system is stable or not. From Q(s), we can determine the location of the poles which determines whether the system is stable, marginally stable, or unstable. But this I think is not enough. We have to test and try different values of Q(s) so that we can compare. What I am saying is, from two stable systems, there is a relatively more stable one which can be used in decision making. We can use equations to compute for time domain equivalent of t(s) so we can plot them and see what system decays to zero faster. That is the advantage of using equations.
On my part, I know I failed at first but realizing where went wrong in the least amount of time is for me already an achievement.