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\documentclass[11pt]{beamer} | ||
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\mode<article> % only for the article version | ||
{ | ||
\usepackage{fullpage} | ||
\usepackage{hyperref} | ||
} | ||
\usepackage{multimedia} | ||
\usepackage{pgf,pgfarrows,pgfnodes,pgfautomata,pgfheaps,pgfshade} | ||
\usepackage{amsmath,amssymb} | ||
%\usepackage[latin1]{inputenc} | ||
%\usepackage{colortbl} | ||
\usepackage[english]{babel} | ||
%\usepackage{fancybox} | ||
\usepackage{hyperref} | ||
\usepackage{graphicx} | ||
\usepackage{ctex} | ||
\usepackage{xeCJK} | ||
\usepackage{fontspec,xltxtra,xunicode} | ||
\usepackage{media9} | ||
\usepackage{ulem} | ||
\mode<presentation> { | ||
\setbeamertemplate{background canvas}[vertical shading][bottom=white!10,top=blue!10] | ||
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%\usetheme{Hannover} %...The third theme | ||
\usetheme{Montpellier} %...The second theme | ||
%\usetheme[hideothersubsections]{Marburg} %....The first theme | ||
\usecolortheme{sidebartab} | ||
\usefonttheme[onlymath]{serif} | ||
\setbeamercovered{invisible} | ||
%\pgfdeclareimage[height=1.5cm]{logo}{1111021021} \logo{\pgfuseimage{logo}} | ||
%\pgfdeclareimage[height=6cm]{NCKUSC}{NCKUSC} \logo{\pgfuseimage{NCKUSC}} | ||
} | ||
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%\setbeamercolor{math text}{fg=green!50!black} | ||
%\setbeamercolor{normal text in math text}{parent=math text} | ||
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\usepackage{lmodern} | ||
%\usepackage[T1]{fontenc} | ||
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\usepackage{times} | ||
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\setbeamercovered{dynamic} | ||
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%\useoutertheme{split} | ||
%\useinnertheme[shadow]{rounded} | ||
\title{Soap Film \& Minimal Surface} | ||
\subtitle{應用數學方法期末報告} | ||
\author{蔡忠廷、傅鈺融、李昱勳} | ||
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\institute{Dept. of Math, NCKU, Tainan} | ||
\date{\today} | ||
%\nodate | ||
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\begin{document} | ||
\noindent | ||
\frame{\titlepage} | ||
\begin{frame} | ||
\frametitle{Outline} | ||
\tableofcontents | ||
% You might wish to add the option [pausesections] | ||
\end{frame} | ||
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\section{計劃目的} | ||
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\begin{frame}{計劃目的} | ||
\begin{itemize} | ||
\item 動機: | ||
\begin{center} | ||
\includegraphics[width=7.5cm]{IMG_3854} | ||
\end{center} | ||
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\end{itemize} | ||
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\end{frame} | ||
\begin{frame}{計劃目的} | ||
\begin{itemize} | ||
\item 計劃目的: | ||
使用 MATLAB 模擬出生活中的最小曲面。 | ||
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\end{itemize} | ||
\end{frame} | ||
\section{計劃內容} | ||
\begin{frame}{Problem} | ||
給定框架(肥皂泡吹製器)\\肥皂泡膜形成的(曲)面有最小表面積\\[0.5cm] | ||
\begin{tabular}{ll} | ||
Method & Discussion\\ | ||
\pause 從最小能量下手 & \pause 理論推導不易?\\ | ||
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\pause 從方程式下手& \pause 知道的事實不多\\ | ||
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\pause 從圖像下手 & \pause 以程式實驗,模擬框架從肥皂水取出後的面 | ||
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\end{tabular} | ||
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\end{frame} | ||
\begin{frame}{Problem} | ||
經過一番\sout{(寒徹骨)}波折後決定降低維度(\ !?)\\[0.5cm] | ||
\pause | ||
\invisible<1>{給定一些頂點,決定連結這些點的最小路徑\\ $\Rightarrow$ Steiner Tree Problem} | ||
\end{frame} | ||
\begin{frame}{Steiner Tree Problem} | ||
Steiner tree problem是一個組合最佳化問題,與最小生成樹相似,是最短網路的一種。最小生成樹(minimum spanning tree, MST)是在給定的點集和邊中尋求最短網路使所有點聯通。而最小 Steiner tree 允許在給定的點外增加額外的點,使生成的最短網路開銷最小。\end{frame} | ||
\section{研究方法} | ||
\begin{frame}{Method} | ||
使用MATLAB實驗 | ||
\end{frame} | ||
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\section{結果與討論} | ||
\begin{frame}{Results} | ||
\begin{figure}[h] | ||
\centering | ||
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\includegraphics[width=5cm]{square1}\hfill | ||
\includegraphics[width=5cm]{square2} | ||
\caption{方形模擬結果} | ||
\end{figure} | ||
\end{frame} | ||
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\section{結論} | ||
\begin{frame}{Conclusions} | ||
三維的問題仍比二維複雜許多.......\\ | ||
\quad \quad {\tiny \sout{要最小曲面還是去吹泡泡吧}} | ||
\end{frame} | ||
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\section{參考資料} | ||
\begin{frame}{參考資料} | ||
\begin{itemize} | ||
\item Steiner Tree Problem : https://en.wikipedia.org/wiki/Steiner\_tree\_problem | ||
\item Steiner Tree Solver : \\ http://hostel.ufabc.edu.br/$\sim$marcelo.nascimento/software.html | ||
\end{itemize} | ||
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\end{frame} | ||
\end{document} |
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\beamer@endinputifotherversion {3.36pt} | ||
\select@language {english} | ||
\beamer@sectionintoc {1}{計劃目的}{3}{0}{1} | ||
\beamer@sectionintoc {2}{計劃內容}{5}{0}{2} | ||
\beamer@sectionintoc {3}{研究方法}{15}{0}{3} | ||
\beamer@sectionintoc {4}{結果與討論}{16}{0}{4} | ||
\beamer@sectionintoc {5}{結論}{17}{0}{5} | ||
\beamer@sectionintoc {6}{參考資料}{18}{0}{6} |
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