# 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
$$
  \text{FWHM}_M = \text{FWHM}_L = \sigma \cdot a
$$

. . .

$$
  \implies \sigma_M \approx 1.1191486
$$