From 61f3650a4b753d195e16f5898d3ea710e447f2c0 Mon Sep 17 00:00:00 2001 From: =?UTF-8?q?Gi=C3=B9=20Marcer?= Date: Sat, 6 Jun 2020 20:00:31 +0200 Subject: [PATCH] ex-1: correct an error at the beginning of the FWHM section --- notes/sections/1.md | 5 ++--- 1 file changed, 2 insertions(+), 3 deletions(-) diff --git a/notes/sections/1.md b/notes/sections/1.md index ae54584..b00312f 100644 --- a/notes/sections/1.md +++ b/notes/sections/1.md @@ -229,7 +229,7 @@ $$ $$ 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 the mode: this lead the result to be much more precise. Applying again the @@ -252,8 +252,7 @@ $$ f_{\text{max}} = f(m_e) \et \text{FWHM} = x_+ - x_- \with f(x_\pm) = \frac{f_\text{max}}{2} $$ -The function derivative $f'(x)$ was minimized using the same minimization method -used for finding $m_e$. Once $f_\text{max}$ was known, the equation: +Having already estimated the mode, $f_\text{max}$ was known and the equation: $$ f(x) = \frac{f_\text{max}}{2} $$