analistica/slides/sections/3.md

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