I have 2 non-linear curves having (x,y)values. The x values are varying from 0 to 127 in both the curves and y values are of different magnitude for 2 curves. How can I compare these 2 non-linear curves? What are the possible comparison parameters? Please provide your inputs.
2026-04-03 06:02:13.1775196133
Comparing 2 non-linear curves
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If the two curves are $y_1 = f_1(x)$ and $y_2 = f_2(x)$, there are many ways to compute a "difference". For example: $$ \max \left\{\left|f_1(x) - f_2(x)\right| : 0 \le x \le 127 \right\} $$
$$ \int_0^{127} \left|f_1(x) - f_2(x)\right|dx $$ From an abstract point of view, we are defining different "metrics" on a set of functions, and we can use any of those metrics to measure difference, or "distance". I gave you two examples of such "metrics", but there are many others.
We can't tell you which metric to use unless you tell us more about your problem.