Simplices-and-Triangulations/Project199.tex at master · zhao-lyu/Simplices-and-Triangulations · GitHub

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\documentclass[english]{article}
%\documentclass[12pt,chapterheads]{ucsd}

%\usepackage[nodayofweek]{datetime}

%\usepackage[left=1.5in,right=1.5in,top=1.5in,bottom=1.5in]{geometry}
\usepackage[paper=letterpaper]{geometry}
\usepackage[affil-it]{authblk}

%\title{\textbf{Title} \\subtitle}
%\author{Zhao Lyu}
%\date{2018-01-15}%change \today

%\bibliographystyle{apa}
\usepackage{amsmath, mathtools, amsfonts,amssymb,flexisym,enumitem,grffile,graphicx,tikz,subcaption,titling,hyperref,cleveref}
\usepackage{tikz}
\usetikzlibrary{intersections,positioning,calc}
\usepackage{tkz-euclide}
\usetkzobj{all}
%\usepackage{wrapfig,blindtext,babel,calc}
%\usetikzlibrary{intersections,calc}
\usepackage{setspace}
\usepackage{url}
\setlist[enumerate]{itemsep=0mm}
%\graphicspath{{/home/user/Project199/Figures}}

\usepackage{amsthm}
\newtheorem{theorem}{Theorem}
\newtheorem*{theorem*}{Theorem}
\newtheorem*{definition*}{Definition}
\newtheorem{definition}{Definition}
\newtheorem*{lemma*}{Lemma}
\newtheorem{lemma}{Lemma}
\newtheorem*{claim*}{Claim}
\newtheorem{claim}{Claim}

\newcommand{\vol}{\operatorname{vol}}
\newcommand{\diam}{\operatorname{diam}}


\begin{document}
  \input{Format}
  %\input{template}

  \section{Introduction}
  \input{introduction}
  %\newpage

  \section{Basic Definition}
    In this section, we introduce basic notions which we will use to present and analyze mesh refinement.
    We first recall definitions of linear transformation and translation, and further introduce affine transformation.

    \input{TranslationLTandAT}
    \input{Simplices}
    \input{ShapeMeasure}
    \input{SimplicialComplex}


  \section{Refinement Strategies in General}
    \input{GeneralRefinement}

  \section{Uniform Refinement}
    \input{UniformRefinement}

  \section{Newest Vertex Bisection}
    \input{Bisection}

  \section{Discussion and Outlook}
    \input{Discussion}

  \newpage
  %\bibliographystyle{abbrvnat}
  \bibliographystyle{plain}
  %\bibliographystyle{apa}
  \bibliography{Bib}

  %\subsection{}
\end{document}