analistica/slides/sections/4.md

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# Data sample
## Data sample
The $M(x)$ most similar to $L(x)$ is found by imposing:
- equal mode
$$
\mu_M = \mu_L \approx 0.22278298...
$$
- equal width
$$
\text{FWHM}_M = \text{FWHM}_L = \sigma \cdot a
$$
. . .
$$
\implies \sigma_M \approx 1.1191486
$$