52 lines
1.2 KiB
TeX
52 lines
1.2 KiB
TeX
\documentclass{article}
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% set up telugu
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\usepackage{fontspec}
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\newfontfamily\telugufont{Potti Sreeramulu}[Script = Telugu]
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\usepackage{polyglossia}
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\setdefaultlanguage{english}
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\setotherlanguage{telugu}
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%other packages
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\usepackage{amsmath}
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\usepackage{amssymb}
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\usepackage{physics}
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\usepackage{siunitx}
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\usepackage{todonotes}
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\usepackage[plain]{fancyref}
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\usepackage{luacode}
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\usepackage{titling}
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\usepackage{enumerate}
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% custom deepak packages
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\usepackage{luatrivially}
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\usepackage{subtitling}
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\begin{luacode*}
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math.randomseed(31415926)
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\end{luacode*}
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\title{Problem 1.6}
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\subtitle{Random matrix theory}
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\author{\begin{telugu}హృదయ్ దీపక్ మల్లుభొట్ల\end{telugu}}
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% want empty date
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\predate{}
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\date{}
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\postdate{}
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% !TeX spellcheck = en_GB
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\begin{document}
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\maketitle
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Gaussian orthogonal ensemble: $N \times N$ matrix, all elements are random numbers with Gaussian distributions of mean zero and $\sigma = 1$.
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So each member from
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\begin{equation}
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\rho(x) = \frac{1}{\sqrt{2 \pi}} e^{-\flatfrac{x^2}{2}}
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\end{equation}
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Then add with its transpose to make symmetric.
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\section{Solution} \label{sec:solution}
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\subsection{Likelihoods} \label{subsec:sola}
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\newpage
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\listoftodos
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\end{document}
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