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https://github.com/vale981/bachelor_thesis
synced 2025-03-04 09:01:38 -05:00
change sigma labels in graphics
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170693167c
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11e17a44f9
5 changed files with 33 additions and 33 deletions
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@ -4058,15 +4058,15 @@
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\pgfsetstrokecolor{currentstroke}%
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\pgfsetstrokeopacity{0.800000}%
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\pgfsetdash{}{0pt}%
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\pgfpathmoveto{\pgfqpoint{1.935694in}{1.503056in}}%
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\pgfpathlineto{\pgfqpoint{2.704167in}{1.503056in}}%
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\pgfpathquadraticcurveto{\pgfqpoint{2.731944in}{1.503056in}}{\pgfqpoint{2.731944in}{1.530834in}}%
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\pgfpathmoveto{\pgfqpoint{1.622876in}{1.488334in}}%
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\pgfpathlineto{\pgfqpoint{2.704167in}{1.488334in}}%
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\pgfpathquadraticcurveto{\pgfqpoint{2.731944in}{1.488334in}}{\pgfqpoint{2.731944in}{1.516112in}}%
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\pgfpathlineto{\pgfqpoint{2.731944in}{1.904167in}}%
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\pgfpathquadraticcurveto{\pgfqpoint{2.731944in}{1.931944in}}{\pgfqpoint{2.704167in}{1.931944in}}%
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\pgfpathlineto{\pgfqpoint{1.935694in}{1.931944in}}%
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\pgfpathquadraticcurveto{\pgfqpoint{1.907917in}{1.931944in}}{\pgfqpoint{1.907917in}{1.904167in}}%
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\pgfpathlineto{\pgfqpoint{1.907917in}{1.530834in}}%
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\pgfpathquadraticcurveto{\pgfqpoint{1.907917in}{1.503056in}}{\pgfqpoint{1.935694in}{1.503056in}}%
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\pgfpathlineto{\pgfqpoint{1.622876in}{1.931944in}}%
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\pgfpathquadraticcurveto{\pgfqpoint{1.595099in}{1.931944in}}{\pgfqpoint{1.595099in}{1.904167in}}%
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\pgfpathlineto{\pgfqpoint{1.595099in}{1.516112in}}%
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\pgfpathquadraticcurveto{\pgfqpoint{1.595099in}{1.488334in}}{\pgfqpoint{1.622876in}{1.488334in}}%
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\pgfpathclose%
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\pgfusepath{stroke,fill}%
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\end{pgfscope}%
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@ -4077,15 +4077,15 @@
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\definecolor{currentstroke}{rgb}{0.501961,0.501961,0.501961}%
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\pgfsetstrokecolor{currentstroke}%
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\pgfsetdash{{3.700000pt}{1.600000pt}}{0.000000pt}%
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\pgfpathmoveto{\pgfqpoint{1.963472in}{1.827778in}}%
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\pgfpathlineto{\pgfqpoint{2.241250in}{1.827778in}}%
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\pgfpathmoveto{\pgfqpoint{1.650654in}{1.827778in}}%
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\pgfpathlineto{\pgfqpoint{1.928432in}{1.827778in}}%
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\pgfusepath{stroke}%
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\end{pgfscope}%
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\begin{pgfscope}%
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\definecolor{textcolor}{rgb}{0.000000,0.000000,0.000000}%
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\pgfsetstrokecolor{textcolor}%
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\pgfsetfillcolor{textcolor}%
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\pgftext[x=2.352361in,y=1.779167in,left,base]{\color{textcolor}\rmfamily\fontsize{10.000000}{12.000000}\selectfont mean}%
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\pgftext[x=2.039543in,y=1.779167in,left,base]{\color{textcolor}\rmfamily\fontsize{10.000000}{12.000000}\selectfont mean}%
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\end{pgfscope}%
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\begin{pgfscope}%
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\pgfsetbuttcap%
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@ -4098,10 +4098,10 @@
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\pgfsetstrokecolor{currentstroke}%
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\pgfsetstrokeopacity{0.100000}%
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\pgfsetdash{}{0pt}%
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\pgfpathmoveto{\pgfqpoint{1.963472in}{1.585556in}}%
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\pgfpathlineto{\pgfqpoint{2.241250in}{1.585556in}}%
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\pgfpathlineto{\pgfqpoint{2.241250in}{1.682778in}}%
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\pgfpathlineto{\pgfqpoint{1.963472in}{1.682778in}}%
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\pgfpathmoveto{\pgfqpoint{1.650654in}{1.578611in}}%
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\pgfpathlineto{\pgfqpoint{1.928432in}{1.578611in}}%
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\pgfpathlineto{\pgfqpoint{1.928432in}{1.675833in}}%
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\pgfpathlineto{\pgfqpoint{1.650654in}{1.675833in}}%
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\pgfpathclose%
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\pgfusepath{stroke,fill}%
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\end{pgfscope}%
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@ -4109,7 +4109,7 @@
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\definecolor{textcolor}{rgb}{0.000000,0.000000,0.000000}%
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\pgfsetstrokecolor{textcolor}%
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\pgfsetfillcolor{textcolor}%
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\pgftext[x=2.352361in,y=1.585556in,left,base]{\color{textcolor}\rmfamily\fontsize{10.000000}{12.000000}\selectfont \(\displaystyle \sigma\)}%
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\pgftext[x=2.039543in,y=1.578611in,left,base]{\color{textcolor}\rmfamily\fontsize{10.000000}{12.000000}\selectfont \(\displaystyle \sigma\) (stddev)}%
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\end{pgfscope}%
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\end{pgfpicture}%
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\makeatother%
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@ -3875,15 +3875,15 @@
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\pgfsetstrokecolor{currentstroke}%
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\pgfsetstrokeopacity{0.800000}%
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\pgfsetdash{}{0pt}%
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\pgfpathmoveto{\pgfqpoint{1.935694in}{1.503056in}}%
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\pgfpathlineto{\pgfqpoint{2.704167in}{1.503056in}}%
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\pgfpathquadraticcurveto{\pgfqpoint{2.731944in}{1.503056in}}{\pgfqpoint{2.731944in}{1.530834in}}%
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\pgfpathmoveto{\pgfqpoint{1.622876in}{1.488334in}}%
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\pgfpathlineto{\pgfqpoint{2.704167in}{1.488334in}}%
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\pgfpathquadraticcurveto{\pgfqpoint{2.731944in}{1.488334in}}{\pgfqpoint{2.731944in}{1.516112in}}%
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\pgfpathlineto{\pgfqpoint{2.731944in}{1.904167in}}%
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\pgfpathquadraticcurveto{\pgfqpoint{2.731944in}{1.931944in}}{\pgfqpoint{2.704167in}{1.931944in}}%
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\pgfpathlineto{\pgfqpoint{1.935694in}{1.931944in}}%
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\pgfpathquadraticcurveto{\pgfqpoint{1.907917in}{1.931944in}}{\pgfqpoint{1.907917in}{1.904167in}}%
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\pgfpathlineto{\pgfqpoint{1.907917in}{1.530834in}}%
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\pgfpathquadraticcurveto{\pgfqpoint{1.907917in}{1.503056in}}{\pgfqpoint{1.935694in}{1.503056in}}%
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\pgfpathlineto{\pgfqpoint{1.622876in}{1.931944in}}%
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\pgfpathquadraticcurveto{\pgfqpoint{1.595099in}{1.931944in}}{\pgfqpoint{1.595099in}{1.904167in}}%
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\pgfpathlineto{\pgfqpoint{1.595099in}{1.516112in}}%
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\pgfpathquadraticcurveto{\pgfqpoint{1.595099in}{1.488334in}}{\pgfqpoint{1.622876in}{1.488334in}}%
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\pgfpathclose%
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\pgfusepath{stroke,fill}%
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\end{pgfscope}%
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@ -3894,15 +3894,15 @@
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\definecolor{currentstroke}{rgb}{0.501961,0.501961,0.501961}%
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\pgfsetstrokecolor{currentstroke}%
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\pgfsetdash{{3.700000pt}{1.600000pt}}{0.000000pt}%
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\pgfpathmoveto{\pgfqpoint{1.963472in}{1.827778in}}%
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\pgfpathlineto{\pgfqpoint{2.241250in}{1.827778in}}%
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\pgfpathmoveto{\pgfqpoint{1.650654in}{1.827778in}}%
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\pgfpathlineto{\pgfqpoint{1.928432in}{1.827778in}}%
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\pgfusepath{stroke}%
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\end{pgfscope}%
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\begin{pgfscope}%
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\definecolor{textcolor}{rgb}{0.000000,0.000000,0.000000}%
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\pgfsetstrokecolor{textcolor}%
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\pgfsetfillcolor{textcolor}%
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\pgftext[x=2.352361in,y=1.779167in,left,base]{\color{textcolor}\rmfamily\fontsize{10.000000}{12.000000}\selectfont mean}%
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\pgftext[x=2.039543in,y=1.779167in,left,base]{\color{textcolor}\rmfamily\fontsize{10.000000}{12.000000}\selectfont mean}%
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\end{pgfscope}%
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\begin{pgfscope}%
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\pgfsetbuttcap%
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@ -3915,10 +3915,10 @@
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\pgfsetstrokecolor{currentstroke}%
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\pgfsetstrokeopacity{0.100000}%
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\pgfsetdash{}{0pt}%
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\pgfpathmoveto{\pgfqpoint{1.963472in}{1.585556in}}%
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\pgfpathlineto{\pgfqpoint{2.241250in}{1.585556in}}%
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\pgfpathlineto{\pgfqpoint{2.241250in}{1.682778in}}%
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\pgfpathlineto{\pgfqpoint{1.963472in}{1.682778in}}%
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\pgfpathmoveto{\pgfqpoint{1.650654in}{1.578611in}}%
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\pgfpathlineto{\pgfqpoint{1.928432in}{1.578611in}}%
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\pgfpathlineto{\pgfqpoint{1.928432in}{1.675833in}}%
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\pgfpathlineto{\pgfqpoint{1.650654in}{1.675833in}}%
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\pgfpathclose%
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\pgfusepath{stroke,fill}%
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\end{pgfscope}%
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@ -3926,7 +3926,7 @@
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\definecolor{textcolor}{rgb}{0.000000,0.000000,0.000000}%
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\pgfsetstrokecolor{textcolor}%
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\pgfsetfillcolor{textcolor}%
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\pgftext[x=2.352361in,y=1.585556in,left,base]{\color{textcolor}\rmfamily\fontsize{10.000000}{12.000000}\selectfont \(\displaystyle \sigma\)}%
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\pgftext[x=2.039543in,y=1.578611in,left,base]{\color{textcolor}\rmfamily\fontsize{10.000000}{12.000000}\selectfont \(\displaystyle \sigma\) (stddev)}%
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\end{pgfscope}%
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\end{pgfpicture}%
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\makeatother%
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@ -246,6 +246,7 @@ labelformat=brace, position=top]{subcaption}
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\subsection{Result}
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\begin{frame}{Result}
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\pnote{LEADING ORDER}
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\begin{equation}
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\label{eq:averagedm_final}
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\langle\abs{\mathcal{M}}^2\rangle = \frac{4}{3}(gZ)^4
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@ -477,7 +478,7 @@ labelformat=brace, position=top]{subcaption}
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\item accept each sample with the probability~\(f(x_i)/g(x_i)\)
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(importance sampling)
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\item total probability of accepting a sample: \(\mathfrak{e} =
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A/B \leq 1\) (efficiency)
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A/B \leq 1\) (efficiency, \(A=\int_0^1f(x)\dd{x}\))
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\item simplest choice \(g=\max_{x\in\Omega}f(x)=f_{\text{max}}\)
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\item again: efficiency gain through reduction of variance
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\end{itemize}
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@ -650,9 +651,8 @@ labelformat=brace, position=top]{subcaption}
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\end{center}
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\begin{itemize}
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\item compatible with \sherpa: \result{xs/python/pdf/sherpa_sigma}
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\item achieved \result{xs/python/pdf/samp_eff}
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\item achieved \result{xs/python/pdf/samp_eff} (\(N=10^7\) samples)
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\item using \result{xs/python/pdf/num_increments} hypercubes
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(\(N=10^7\) samples)
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\end{itemize}
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\end{frame}
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