various fixes
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@@ -548,8 +548,8 @@ The classical Coulomb barrier $V$ they used are given by:
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\label{eqn:classical_coulomb_barrier}
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\end{equation}
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where $z$ and $Z$ are the charges of the outgoing particle and of the residual
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nucleus respectively, $e^2 = 1.44 \si{\MeV}$, $r_0 = 1.35 \textrm{ fm}$, and
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$\rho = 0 \textrm{ fm}$ for protons were taken.
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nucleus respectively, $e^2 = 1.44 \si{\MeV}\cdot\textrm{fm}$, $r_0 = 1.35
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\textrm{ fm}$, and $\rho = 0 \textrm{ fm}$ for protons were taken.
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\begin{figure}[htb]
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\centering
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\includegraphics[width=0.48\textwidth]{figs/wyttenbach_rate_1p}
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@@ -684,25 +684,25 @@ al.~\cite{VilgelmovaEvseev.etal.1971} observed.
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%nucleus & calculation & experiment & calculation & experiment \\
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%\textbf{Col1}\\
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\midrule
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$^{27}_{13}$Al & 9.7 & {(4.7)} & 40 & {$> 28 \pm 4$} &(70)\\
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$^{27}_{13}$Al & 9.7 & {(4.7)} & 40 & {$> 28 $} &(70)\\
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$^{28}_{14}$Si & 32 & 53 \pm 10 & 144 & 150 \pm 30 & \\
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$^{31}_{15}$P & 6.7 & {(6.3)} & 35 & {$> 61 \pm 6$}&(91) \\
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$^{31}_{15}$P & 6.7 & {(6.3)} & 35 & {$> 61$}&(91) \\
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$^{39}_{19}$K & 19 & 32 \pm 6 & 67 & {} \\
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$^{41}_{19}$K & 5.1 & {(4.7)} & 30 & {$> 28 \pm 4$} &(70)\\
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$^{51 }_{23}$V &3.7 &2.9 \pm 0.4 &25 &{$>20 \pm 1.8$}& (32)\\
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$^{55 }_{25}$Mn &2.4 &2.8 \pm 0.4 &16 &{$>26 \pm 2.5$}& (35)\\
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$^{59 }_{27}$Co &3.3 &1.9 \pm 0.2 &21 &{$>37 \pm 3.4$}& (50)\\
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$^{60 }_{28}$Ni &8.9 &21.4 \pm 2.3 &49 &40 \pm 5&\\
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$^{63 }_{29}$Cu &4.0 &2.9 \pm 0.6 &25 &{$>17 \pm 3 $}& (36)\\
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$^{65 }_{29}$Cu &1.2 &{(2.3)} &11 &{$>35 \pm 4.5$}& (36)\\
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$^{75 }_{33}$As &1.5 &1.4 \pm 0.2 &14 &{$>14 \pm 1.3$}& (19)\\
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$^{79 }_{35}$Br &2.7 &{} &22 & &\\
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$^{107}_{47}$Ag &2.3 &{} &18 & &\\
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$^{115}_{49}$In &0.63 &{(0.77)} &7.2 &{$>11 \pm 1$} &(12)\\
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$^{133}_{55}$Cs &0.75 &0.48 \pm 0.07 &8.7 &{$>4.9 \pm 0.5$} &(6.7)\\
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$^{165}_{67}$Ho &0.26 &0.30 \pm 0.04 &4.1 &{$>3.4 \pm 0.3$} &(4.6)\\
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$^{181}_{73}$Ta &0.15 &0.26 \pm 0.04 &2.8 &{$>0.7 \pm 0.1$} &(3.0)\\
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$^{208}_{82}$Pb &0.14 &0.13 \pm 0.02 &1.1 &{$>3.0 \pm 0.8$} &(4.1)\\
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$^{41}_{19}$K & 5.1 & {(4.7)} & 30 & {$> 28$} &(70)\\
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%$^{51 }_{23}$V &3.7 &2.9 \pm 0.4 &25 &{$>20 \pm 1.8$}& (32)\\
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%$^{55 }_{25}$Mn &2.4 &2.8 \pm 0.4 &16 &{$>26 \pm 2.5$}& (35)\\
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%$^{59 }_{27}$Co &3.3 &1.9 \pm 0.2 &21 &{$>37 \pm 3.4$}& (50)\\
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%$^{60 }_{28}$Ni &8.9 &21.4 \pm 2.3 &49 &40 \pm 5&\\
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%$^{63 }_{29}$Cu &4.0 &2.9 \pm 0.6 &25 &{$>17 \pm 3 $}& (36)\\
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%$^{65 }_{29}$Cu &1.2 &{(2.3)} &11 &{$>35 \pm 4.5$}& (36)\\
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%$^{75 }_{33}$As &1.5 &1.4 \pm 0.2 &14 &{$>14 \pm 1.3$}& (19)\\
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%$^{79 }_{35}$Br &2.7 &{} &22 & &\\
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%$^{107}_{47}$Ag &2.3 &{} &18 & &\\
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%$^{115}_{49}$In &0.63 &{(0.77)} &7.2 &{$>11 \pm 1$} &(12)\\
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%$^{133}_{55}$Cs &0.75 &0.48 \pm 0.07 &8.7 &{$>4.9 \pm 0.5$} &(6.7)\\
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%$^{165}_{67}$Ho &0.26 &0.30 \pm 0.04 &4.1 &{$>3.4 \pm 0.3$} &(4.6)\\
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%$^{181}_{73}$Ta &0.15 &0.26 \pm 0.04 &2.8 &{$>0.7 \pm 0.1$} &(3.0)\\
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%$^{208}_{82}$Pb &0.14 &0.13 \pm 0.02 &1.1 &{$>3.0 \pm 0.8$} &(4.1)\\
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\bottomrule
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\end{tabular}
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\end{center}
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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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@@ -57,20 +57,20 @@ layer due to these protons with
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different absorber thickness are shown in \cref{tab:proton_cdc_hitrate}.
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\begin{table}[htb]
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\begin{center}
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\begin{tabular}{S S S S S}
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\begin{tabular}{S S S S S S}
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\toprule
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{\textbf{Absorber}} &{\textbf{Inner wall}} & {\textbf{Total CFRP}}&
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{\textbf{Proton}} & {\textbf{Momentum}}\\
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{\textbf{Proton}} & {\textbf{Momentum}} & {\textbf{Integrated charge}}\\
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{\textbf{thickness}} &{\textbf{thickness}} & {\textbf{thickness}}&
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{\textbf{hit rate}} &{\textbf{spread $\Delta p$}}\\
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{\textbf{hit rate}} &{\textbf{spread $\Delta p$}} &{\textbf{300 days}}\\
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{(\si{\mm})} & {(\si{\mm})} & {(\si{\mm})} & {(\si{\Hz})}
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& {(\si{\keV\per\cc)}}\\
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& {(\si{\keV\per\cc)}} &{(mC/cm)}\\
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\midrule
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1 &0.5&1.5 & 2 & 195\\
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0.5 &0.5&1.0 & 126 & 167\\
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0 &0.5&0.5 & 1436 & 133\\
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0 &0.3&0.3 & 8281 & {-}\\
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0 &0.1&0.1 & 15011& {-}\\
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1 &0.5&1.5 & 2 & 195 & 25\\
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0.5 &0.5&1.0 & 126 & 167 & 60\\
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0 &0.5&0.5 & 1436 & 133 & 160\\
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%0 &0.3&0.3 & 8281 & {-} & {-}\\
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%0 &0.1&0.1 & 15011& {-} & {-}\\
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\bottomrule
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\end{tabular}
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\end{center}
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@@ -24,7 +24,7 @@ was made. The main results are:
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with a decay constant of \SI{2.6}{\MeV}. The partial emission rate in the
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energy range from \SIrange{4}{8}{\MeV} is $(1.7 \pm 0.1)\%$, and the total
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emission rate assuming the shape holds for the whole spectrum is
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$(3.5\pm0.2)$.
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$(3.5\pm0.2)\%$.
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\end{enumerate}
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The emission rate is consistent with the lower limit of 2.8\% set by
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Wyttenbach et al.~\cite{WyttenbachBaertschi.etal.1978}. It is also compatible
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@@ -14,7 +14,7 @@ Osaka University}
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violation (CLFV) process, the muon-to-electron conversion in the presence of
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a nucleus,
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\muec. The process is forbidden in the Standard Model (SM), however is
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predicted to occur in various extensions of SM, such as . Current experimental
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predicted to occur in various extensions of SM. Current experimental
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upper limit of the branching ratio is $BR(\mu^{-} + Au \rightarrow e^{-} + Au)
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< 7 \times 10^{-13}$, set by the SINDRUM II experiment [2].
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@@ -12,10 +12,11 @@ inner=1.25in, outer=1in, twoside]{geometry}
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%$ Hyper-link ..
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\RequirePackage[%
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colorlinks=false,% color links instead of using boxes
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linkcolor=red,% color for internal (intra-document) links
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citecolor=green,% color for bibliographic links
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urlcolor=blue,% color for URL links
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%colorlinks=false,% color links instead of using boxes
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%linkcolor=red,% color for internal (intra-document) links
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%citecolor=green,% color for bibliographic links
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%urlcolor=blue,% color for URL links
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hidelinks,
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hyperfootnotes=false,% disable links to footnotes (because feature broken)
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hyperindex,% make page numbers in index into hyperlinks
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pdfstartview={FitH},% startup page view: fit width of page to window
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@@ -30,13 +30,13 @@ for the COMET experiment}
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\mainmatter
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%%%\input{chapters/chap1_intro}
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\input{chapters/chap2_mu_e_conv}
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\input{chapters/chap3_comet}
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\input{chapters/chap4_alcap_phys}
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\input{chapters/chap5_alcap_setup}
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%\input{chapters/chap2_mu_e_conv}
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%\input{chapters/chap3_comet}
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%\input{chapters/chap4_alcap_phys}
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%\input{chapters/chap5_alcap_setup}
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\input{chapters/chap6_analysis}
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\input{chapters/chap7_results}
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\input{chapters/chap8_conclusions}
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%\input{chapters/chap8_conclusions}
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\begin{backmatter}
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\input{chapters/backmatter}
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