various fixes
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@@ -178,7 +178,7 @@ which is consistent with the number of X-rays counted using the active target.
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\toprule
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\textbf{Efficiency and intensity} & \textbf{Value} & \textbf{Absolute error} & \textbf{Relative error} \\
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\midrule
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Detector efficiency & \num{4.40E-4} & \num{0.978E-5} & 0.02 \\
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Detector efficiency & \num{4.40E-4} & \num{0.10E-4} & 0.02 \\
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X-ray intensity & 0.803 & 0.008 & 0.009 \\
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\vspace{0.03em}\\
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\toprule
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@@ -336,7 +336,7 @@ With the aid from MC study (\cref{fig:pid_sim}), the banding on
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The band of protons is then extracted by cut on likelihood probability
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calculated as:
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\begin{equation}
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p_{i} = \dfrac{1}{\sqrt{2\pi}\sigma_{\Delta E}}
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P_{i} = \dfrac{1}{\sqrt{2\pi}\sigma_{\Delta E}}
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\exp{\left[\dfrac{(\Delta E_{meas.} - \Delta E_i)^2} {2\sigma^2_{\Delta
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E}}\right]}
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\end{equation}
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