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.
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