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ex-1: correct an error at the beginning of the FWHM section

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Giù Marcer 2020-06-06 20:00:31 +02:00 committed by rnhmjoj
parent 697fbbce0c
commit 61f3650a4b
1 changed files with 2 additions and 3 deletions
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notes/sections/1.md
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@ -229,7 +229,7 @@ $$
$$ $$
while the sample median, obtained again by bootstrapping, was found to be: while the sample median, obtained again by bootstrapping, was found to be:
$$ $$
\text{observed median: } m_e = \num{1.3605 \pm 0.0062} \text{observed median: } m_o = \num{1.3605 \pm 0.0062}
$$ $$
As stated above, the median is less sensitive to extreme values with respect to As stated above, the median is less sensitive to extreme values with respect to
the mode: this lead the result to be much more precise. Applying again the the mode: this lead the result to be much more precise. Applying again the
@ -252,8 +252,7 @@ $$
f_{\text{max}} = f(m_e) \et \text{FWHM} = x_+ - x_- \with f_{\text{max}} = f(m_e) \et \text{FWHM} = x_+ - x_- \with
f(x_\pm) = \frac{f_\text{max}}{2} f(x_\pm) = \frac{f_\text{max}}{2}
$$ $$
The function derivative $f'(x)$ was minimized using the same minimization method Having already estimated the mode, $f_\text{max}$ was known and the equation:
used for finding $m_e$. Once $f_\text{max}$ was known, the equation:
$$ $$
f(x) = \frac{f_\text{max}}{2} f(x) = \frac{f_\text{max}}{2}
$$ $$