Discrete Function Approximated by Continuous Function * Dt

Discrete Function Approximated by Continuous Function * Dt
$\begingroup$

If we have a discrete function $f_d(x)$ and continuous version $f_c(x)$, why is $f_d(x) \approx f_c(x) * dt$ ?

Specifically, if you look at the picture above, when you plugin integers into the continuous $y=x^2$ it is exactly equal to the discrete $y=x^2$. I don't see a $dt$ coming out anywhere.

$\endgroup$
5
Elena Rostova
Author

Elena Rostova

Elena Rostova holds a Master's degree in Public Health Journalism. She covers groundbreaking medical research, holistic wellness trends, mental health awareness, and nutritional science.