Clean up formatting
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main.tex
15
main.tex
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@ -59,10 +59,8 @@ code-for-last-col = \color{blue}
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\setbeamercolor{block title}{fg=white, bg=purple!50!black}
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\setbeamercolor{block title}{fg=white, bg=purple!50!black}
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\setbeamercolor{block body}{fg=black, bg=pink!20}
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\setbeamercolor{block body}{fg=black, bg=pink!20}
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\setbeamercolor{titlebox}{fg=black,bg=white}
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\setbeamercolor{titlebox}{fg=black,bg=white}
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\begin{document}
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\begin{document}
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\section{Introduction}
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\section{Introduction}
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@ -70,7 +68,7 @@ code-for-last-col = \color{blue}
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{
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{
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\usebackgroundtemplate{\includegraphics[height=\paperheight]{cmb.png}}
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\usebackgroundtemplate{\includegraphics[height=\paperheight]{cmb.png}}
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\begin{frame}
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\begin{frame}
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\begin{beamercolorbox}[center]{titlebox}%
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\begin{beamercolorbox}[center]{titlebox}
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\titlepage
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\titlepage
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\end{beamercolorbox}
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\end{beamercolorbox}
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\end{frame}
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\end{frame}
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@ -79,8 +77,7 @@ code-for-last-col = \color{blue}
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\include{prerequisites}
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\include{prerequisites}
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\include{isospectral}
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\include{isospectral}
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\section{CMB Anisotropy of Spherical Spaces
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\section{CMB Anisotropy of Spherical Spaces}
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}
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\begin{frame}[fragile]{Homogeneous Spherical Spaces}
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\begin{frame}[fragile]{Homogeneous Spherical Spaces}
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\begin{itemize}
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\begin{itemize}
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@ -149,7 +146,7 @@ code-for-last-col = \color{blue}
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\section{Test for anisotropy in the mean of the CMB temperature fluctuation in spherical harmonic space}
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\section{Test for anisotropy in the mean of the CMB temperature fluctuation in spherical harmonic space}
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\begin{frame}{Statistical Isotropy and Hypothesis}
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\begin{frame}{Statistical Isotropy and Hypothesis}
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\small
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\small
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\textbf{Theoretical Expectation:}\\
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\textbf{Theoretical Expectation:}\\
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From the perspective of an Earth-based observer, we can view the CMB as a function defined on the celestial sphere $\mathbb{S}^2$.\\
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From the perspective of an Earth-based observer, we can view the CMB as a function defined on the celestial sphere $\mathbb{S}^2$.\\
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\begin{itemize}
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\begin{itemize}
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@ -169,7 +166,7 @@ code-for-last-col = \color{blue}
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\end{frame}
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\end{frame}
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\begin{frame}{Methodology: Sky Masking and the Test Statistic}
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\begin{frame}{Methodology: Sky Masking and the Test Statistic}
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\small
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\small
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\textbf{Challenges in Real Observations:}
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\textbf{Challenges in Real Observations:}
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\begin{itemize}
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\begin{itemize}
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\item We cannot observe the full CMB sky due to foreground contamination.
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\item We cannot observe the full CMB sky due to foreground contamination.
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@ -193,7 +190,7 @@ code-for-last-col = \color{blue}
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\begin{frame}{Results and Interpretation}
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\begin{frame}{Results and Interpretation}
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\small
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\small
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\begin{columns}
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\begin{columns}
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\column{0.5\textwidth}
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\column{0.5\textwidth}
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\begin{figure}
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\begin{figure}
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