58 lines
3.2 KiB
TeX
58 lines
3.2 KiB
TeX
%==========================================
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% Appendices related to angular corrections
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%==========================================
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\vspace*{-2.cm}\section{Angular parametrization}\label{app:AngCorr}
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\vspace{-1.0cm}
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\begin{figure}[hb!]
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\centering\vspace{-5pt}
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\includegraphics[width=0.30\textwidth]{./Angular/projections/ctkeff0_KplusPi0Resolved_Run1.eps}
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\includegraphics[width=0.30\textwidth]{./Angular/projections/ctkeff1_KplusPi0Resolved_Run1.eps}
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\includegraphics[width=0.30\textwidth]{./Angular/projections/ctkeff2_KplusPi0Resolved_Run1.eps}\\ \vspace{-1pt}
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\includegraphics[width=0.30\textwidth]{./Angular/projections/ctkeff3_KplusPi0Resolved_Run1.eps}
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\includegraphics[width=0.30\textwidth]{./Angular/projections/ctkeff4_KplusPi0Resolved_Run1.eps}
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\includegraphics[width=0.30\textwidth]{./Angular/projections/ctkeff5_KplusPi0Resolved_Run1.eps}\\ \vspace{-1pt}
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\includegraphics[width=0.30\textwidth]{./Angular/projections/ctkeff6_KplusPi0Resolved_Run1.eps}
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\includegraphics[width=0.30\textwidth]{./Angular/projections/ctkeff7_KplusPi0Resolved_Run1.eps}
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\includegraphics[width=0.30\textwidth]{./Angular/projections/ctkeff8_KplusPi0Resolved_Run1.eps}\\ \vspace{-1pt}
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\includegraphics[width=0.30\textwidth]{./Angular/projections/ctkeff9_KplusPi0Resolved_Run1.eps}
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\includegraphics[width=0.30\textwidth]{./Angular/projections/ctkeff10_KplusPi0Resolved_Run1.eps}
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\includegraphics[width=0.30\textwidth]{./Angular/projections/ctkeff11_KplusPi0Resolved_Run1.eps}\\ \vspace{-1pt}
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\includegraphics[width=0.30\textwidth]{./Angular/projections/ctkeff12_KplusPi0Resolved_Run1.eps}
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\includegraphics[width=0.30\textwidth]{./Angular/projections/ctkeff13_KplusPi0Resolved_Run1.eps}
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\includegraphics[width=0.30\textwidth]{./Angular/projections/ctkeff14_KplusPi0Resolved_Run1.eps}\\ \vspace{-1pt}
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\includegraphics[width=0.30\textwidth]{./Angular/projections/ctkeff15_KplusPi0Resolved_Run1.eps}
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\includegraphics[width=0.30\textwidth]{./Angular/projections/ctkeff16_KplusPi0Resolved_Run1.eps}
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\includegraphics[width=0.30\textwidth]{./Angular/projections/ctkeff17_KplusPi0Resolved_Run1.eps}\\ \vspace{-5pt}
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\captionof{figure}[Angular acceptance parametrization projections in \ctk for \runI.]{One-dimensional projections of the angular acceptance in the dimension of \ctk in 18 bins of \qsq. The data points are \runI PHSP MC sample, the solid curve is the four dimensional Legendre-polynomial parametrization. \label{fig:app_angProj_ctk_Run1}}
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\end{figure}
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\clearpage
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\include{Chapters/Acceptance/app_angProj_Run1}
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\include{Chapters/Acceptance/app_angProj_Run2}
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%Both Legendre and Chebyshev are classical orthogonal polynomials
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%\begin{equation}\label{eq:legendre}
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%\int_{-1}^{1}P_m(x)P_n(x)dx =0 \quad\text{if\,} n \neq m\,.
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%\end{equation}
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%\begin{equation}\label{eq:OGlegendre}
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%P_0(x)=1\,,\\
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%P_1(x)=x\,,\\
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%\left(n+1\right)P_{n+1}(x) = \left(2n+1\right)xP_{n}(x)-nP_{n-1}(x)\,.
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%\end{equation}
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%
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%\begin{equation}\label{eq:OGcebysev}
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%T_0(x)=1\,,\\
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%T_1(x)=x\,,\\
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%T_{n+1}(x) = 2xT_{n}(x)-T_{n-1}(x)\,.
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%\end{equation}
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%
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%p value: greater than 0.05 $\Rightarrow$ believe the variables are independent
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%\begin{equation}\label{eq:chi2}
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%\chisq = \left[ \frac{(O-E)^2}{E}\right]\,\quad\text{O=observed, E = expected}
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%\end{equation}
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%
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