🔄Update: 引入模板框架
This commit is contained in:
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# ========================
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# LaTeX 编译产物（排除）
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# ========================
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# DVI 输出文件
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*.dvi
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# PS 输出文件
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*.ps
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# Auxiliary files generated by LaTeX
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*.aux
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*.bbl
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*.blg
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*.fdb_latexmk
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*.fls
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*.log
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*.out
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*.toc
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*.lof
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*.lot
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*.loa
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*.glo
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*.glg
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*.idx
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*.ind
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*.ilg
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*.bak
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*.synctex.gz
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*.nav
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*.snm
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*.vrb
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*.xdv
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# 编译缓存和临时文件
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*.toc
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*.lof
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*.lot
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*.loa
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*.glo
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*.glg
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*.idx
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*.ind
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*.ilg
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*.out
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*.aux
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# LaTeXmk 生成的文件
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*.fls
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*.log
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*.synctex.gz
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latexmk.log
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# 编辑器备份文件（可选，根据需要添加）
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*~
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# Vim swap files
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.*.swp
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.*.swo
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# Emacs backup files
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\#*
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*~
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\.#*
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# VS Code workspace settings
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.vscode/
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# 编译工具（如 make、latexmk）生成的目录
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.build/
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build/
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tmp/
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temp/
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# 其他可能的编译输出目录（根据项目结构调整）
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*.bcf
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*.run.xml
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@@ -1,3 +1,5 @@
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# LaTeX
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📦 存放 LaTeX 相关代码
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> 模板来源：https://github.com/fenglielie/latexzero
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\documentclass[compress,aspectratio=169]{beamer}
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\input{./beamer-setup}
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% \usepackage[style=authoryear]{biblatex}
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% \addbibresource{reference.bib}
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\title{Title}
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\subtitle{Subtitle}
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\author{Author}
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\date{\today}
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\institute{University of XXXX}
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\AtBeginSection[]
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{
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\begin{frame}{Outline}
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\tableofcontents[currentsection,currentsubsection,
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hideothersubsections,sectionstyle=show/shaded]
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\end{frame}
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}
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\begin{document}
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\begin{frame}[plain]
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\titlepage
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\begin{center}
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\small Joint work with XXX and XXX.
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\end{center}
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\end{frame}
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\begin{frame}{Outline}
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\tableofcontents[sectionstyle=show,subsectionstyle=show/shaded/hide,
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subsubsectionstyle=show/shaded/hide]
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\end{frame}
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\section{Introduction}
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\begin{frame}{Frame 1}
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\end{frame}
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\section{Body section A}
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\subsection{Subsection A1}
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\begin{frame}{Frame 2}
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\end{frame}
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\begin{frame}{Frame 3}
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\end{frame}
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\subsection{Subsection A2}
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\begin{frame}{Frame 4}
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\end{frame}
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\section{Body section B}
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\begin{frame}{Frame 5}
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\end{frame}
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\section{Conclusion}
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\begin{frame}{Conclusion \& Future work}
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\end{frame}
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\begin{frame}[plain]
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\vspace{0.3\textheight}
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\Huge{\centerline{\color{simplebeamercolor}\textbf{Thank You!}}}
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\end{frame}
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\end{document}
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%================================
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% beamer-setup-console.tex
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% fenglielie@qq.com 2025-11-12
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%================================
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\usetheme{default}
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\useoutertheme{default}
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\usefonttheme[onlymath]{serif}
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\definecolor{simplebeamercolor}{RGB}{255,216,80}
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\usecolortheme[named=simplebeamercolor]{structure}
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\setbeamertemplate{title page}[default][colsep=-4bp,rounded=true,shadow=true]
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\setbeamertemplate{section in toc}[sections numbered]
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\setbeamertemplate{subsection in toc}[subsections numbered]
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\addtobeamertemplate{subsection in toc}{\hspace{2em}}{}
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\setbeamertemplate{itemize items}[circle]
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\setbeamertemplate{enumerate items}[default]
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\setbeamertemplate{caption}[numbered]
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\setbeamertemplate{footline}[frame number]{}
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\setbeamertemplate{navigation symbols}{}
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\setbeamertemplate{frametitle}{\hspace*{-1em}{\usebeamercolor[fg]{normal text}\texttt{\mdseries>\hbox{}>\hbox{}> }}\boldmath\insertframetitle}
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\setbeamercolor{background canvas}{bg=black!80}
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\setbeamercolor{normal text}{fg=white}
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% \setbeamercolor{title}{use=structure}
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\setbeamercolor{section in head/foot}{fg=white,bg=black!85}
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\setbeamercolor{block body}{fg=structure!10,bg=black!70}
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\setbeamercolor{block title}{fg=structure!50,bg=black!60}
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\setbeamercolor{block body alerted}{fg=alerted text.fg!10,bg=black!70}
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\setbeamercolor{block title alerted}{fg=alerted text.fg!60,bg=black!60}
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\setbeamercolor{block body example}{fg=green!10,bg=black!70}
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\setbeamercolor{block title example}{fg=green!50,bg=black!60}
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% fonts
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\usepackage[T1]{fontenc}
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\usepackage{mathrsfs}
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\usepackage{calligra}
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\usepackage{bm}
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% math
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\usepackage{amsmath,amsthm,amsfonts,amssymb}
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\usepackage{extarrows}
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\usepackage{booktabs}
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\usepackage{multirow}
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\usepackage{multicol}
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\usepackage[most]{tcolorbox}
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\tcbset{
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highlight math style={enhanced, colframe=blue!40,colback=yellow!20,arc=4pt,boxrule=1pt}
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}
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\usepackage{hyperref}
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\hypersetup{
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colorlinks=true,linkcolor=,urlcolor=cyan
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}
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|
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\usepackage{graphicx}
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\graphicspath{
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{./figure/}{./figures/}{./image/}{./images/}{./graphic/}{./graphics/}{./picture/}{./pictures/}
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}
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\usepackage{subcaption}
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\usepackage[ruled,linesnumbered,noline]{algorithm2e}
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|
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\usepackage{listings}
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\lstdefinestyle{simpleStyle}{
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basicstyle=\ttfamily\small\color{white!90},
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breaklines=true,
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keywordstyle=\color{cyan!70!white},
|
||||
identifierstyle=\color{white},
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stringstyle=\color{yellow!80!orange},
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commentstyle=\color{green!60!black},
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showstringspaces=false,
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frame=single,
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rulecolor=\color{white!30},
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framesep=1em,
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}
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\lstset{style=simpleStyle}
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@@ -0,0 +1,76 @@
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%================================
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% beamer-setup-plain.tex
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% fenglielie@qq.com 2025-07-27
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%================================
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\usetheme{default}
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\useoutertheme{default}
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\usefonttheme[onlymath]{serif}
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\definecolor{simplebeamercolor}{RGB}{57,89,199}
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\usecolortheme[named=simplebeamercolor]{structure}
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|
||||
\setbeamertemplate{title page}[default][colsep=-4bp,rounded=true,shadow=true]
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\setbeamertemplate{section in toc}[sections numbered]
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\setbeamertemplate{subsection in toc}[subsections numbered]
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\addtobeamertemplate{subsection in toc}{\hspace{2em}}{}
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\setbeamertemplate{itemize items}[circle]
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\setbeamertemplate{enumerate items}[default]
|
||||
\setbeamertemplate{caption}[numbered]
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||||
\setbeamertemplate{footline}[frame number]{}
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||||
\setbeamertemplate{navigation symbols}{}
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\setbeamertemplate{frametitle}{\vspace*{0.5em}\insertframetitle\par\vskip-6pt\hrulefill\vspace{-0.1em}}
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\setbeamercolor{title}{use=structure,fg=white,bg=structure.fg}
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\setbeamercolor{section in head/foot}{fg=white,bg=structure.fg}
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\setbeamercolor{block body}{bg=structure!10}
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\setbeamercolor{block title}{bg=structure!20}
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\setbeamercolor{block body alerted}{bg=alerted text.fg!10}
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||||
\setbeamercolor{block title alerted}{bg=alerted text.fg!20}
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\setbeamercolor{block body example}{bg=green!10}
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\setbeamercolor{block title example}{bg=green!20}
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|
||||
% fonts
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\usepackage[T1]{fontenc}
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\usepackage{mathrsfs}
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\usepackage{calligra}
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\usepackage{bm}
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|
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% math
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\usepackage{amsmath,amsthm,amsfonts,amssymb}
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\usepackage{extarrows}
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\usepackage{booktabs}
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\usepackage{multirow}
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\usepackage{multicol}
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|
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\usepackage[most]{tcolorbox}
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\tcbset{
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highlight math style={enhanced, colframe=blue!40,colback=yellow!20,arc=4pt,boxrule=1pt}
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}
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||||
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||||
\usepackage{hyperref}
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\hypersetup{
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colorlinks=true,linkcolor=,urlcolor=cyan
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}
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||||
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||||
\usepackage{graphicx}
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||||
\graphicspath{
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{./figure/}{./figures/}{./image/}{./images/}{./graphic/}{./graphics/}{./picture/}{./pictures/}
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||||
}
|
||||
\usepackage{subcaption}
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||||
|
||||
\usepackage[ruled,linesnumbered,noline]{algorithm2e}
|
||||
|
||||
\usepackage{listings}
|
||||
\lstdefinestyle{simpleStyle}{
|
||||
basicstyle=\ttfamily\small,
|
||||
breaklines=true,
|
||||
keywordstyle=\color{blue},
|
||||
identifierstyle=\color{black},
|
||||
stringstyle=\color{violet},
|
||||
commentstyle=\color[RGB]{34,139,34},
|
||||
showstringspaces=false,
|
||||
frame=single,
|
||||
framesep=1em,
|
||||
}
|
||||
\lstset{style=simpleStyle}
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@@ -0,0 +1,76 @@
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%================================
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||||
% beamer-setup.tex
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% fenglielie@qq.com 2025-07-27
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%================================
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||||
|
||||
\usetheme{default}
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||||
\useoutertheme[subsection=false]{miniframes}
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||||
\usefonttheme[onlymath]{serif}
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||||
\definecolor{simplebeamercolor}{RGB}{57,89,199}
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||||
\usecolortheme[named=simplebeamercolor]{structure}
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||||
|
||||
\setbeamertemplate{title page}[default][colsep=-4bp,rounded=true,shadow=true]
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||||
\setbeamertemplate{section in toc}[sections numbered]
|
||||
\setbeamertemplate{subsection in toc}[subsections numbered]
|
||||
\addtobeamertemplate{subsection in toc}{\hspace{2em}}{}
|
||||
\setbeamertemplate{itemize items}[circle]
|
||||
\setbeamertemplate{enumerate items}[default]
|
||||
\setbeamertemplate{caption}[numbered]
|
||||
\setbeamertemplate{footline}[frame number]{}
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||||
\setbeamertemplate{navigation symbols}{}
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||||
\setbeamertemplate{frametitle}{\vspace*{0.5em}\insertframetitle\par\vskip-6pt\hrulefill\vspace{-0.1em}}
|
||||
|
||||
\setbeamercolor{title}{use=structure,fg=white,bg=structure.fg}
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||||
\setbeamercolor{section in head/foot}{fg=white,bg=structure.fg}
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||||
\setbeamercolor{block body}{bg=structure!10}
|
||||
\setbeamercolor{block title}{bg=structure!20}
|
||||
\setbeamercolor{block body alerted}{bg=alerted text.fg!10}
|
||||
\setbeamercolor{block title alerted}{bg=alerted text.fg!20}
|
||||
\setbeamercolor{block body example}{bg=green!10}
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||||
\setbeamercolor{block title example}{bg=green!20}
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||||
|
||||
% fonts
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\usepackage[T1]{fontenc}
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\usepackage{mathrsfs}
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\usepackage{calligra}
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||||
\usepackage{bm}
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||||
|
||||
% math
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||||
\usepackage{amsmath,amsthm,amsfonts,amssymb}
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||||
|
||||
\usepackage{extarrows}
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||||
\usepackage{booktabs}
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||||
\usepackage{multirow}
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||||
\usepackage{multicol}
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||||
|
||||
\usepackage[most]{tcolorbox}
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||||
\tcbset{
|
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highlight math style={enhanced, colframe=blue!40,colback=yellow!20,arc=4pt,boxrule=1pt}
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||||
}
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||||
|
||||
\usepackage{hyperref}
|
||||
\hypersetup{
|
||||
colorlinks=true,linkcolor=,urlcolor=cyan
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||||
}
|
||||
|
||||
\usepackage{graphicx}
|
||||
\graphicspath{
|
||||
{./figure/}{./figures/}{./image/}{./images/}{./graphic/}{./graphics/}{./picture/}{./pictures/}
|
||||
}
|
||||
\usepackage{subcaption}
|
||||
|
||||
\usepackage[ruled,linesnumbered,noline]{algorithm2e}
|
||||
|
||||
\usepackage{listings}
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||||
\lstdefinestyle{simpleStyle}{
|
||||
basicstyle=\ttfamily\small,
|
||||
breaklines=true,
|
||||
keywordstyle=\color{blue},
|
||||
identifierstyle=\color{black},
|
||||
stringstyle=\color{violet},
|
||||
commentstyle=\color[RGB]{34,139,34},
|
||||
showstringspaces=false,
|
||||
frame=single,
|
||||
framesep=1em,
|
||||
}
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||||
\lstset{style=simpleStyle}
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@@ -0,0 +1,364 @@
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\documentclass[compress,aspectratio=169]{beamer}
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\input{../beamer-setup-plain}
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||||
\usepackage[style=authoryear]{biblatex}
|
||||
\addbibresource{reference.bib}
|
||||
|
||||
\title{Title}
|
||||
\subtitle{Subtitle}
|
||||
\author{Author}
|
||||
\date{July 27, 2025}
|
||||
\institute{University of XXXX}
|
||||
|
||||
\AtBeginSection[]{
|
||||
\begin{frame}{Outline}
|
||||
\tableofcontents[currentsection,currentsubsection]
|
||||
\end{frame}
|
||||
}
|
||||
\AtBeginSubsection[]{
|
||||
\begin{frame}{Outline}
|
||||
\tableofcontents[currentsection,currentsubsection]
|
||||
\end{frame}
|
||||
}
|
||||
|
||||
\begin{document}
|
||||
|
||||
\begin{frame}[plain]
|
||||
\titlepage
|
||||
|
||||
\begin{center}
|
||||
\small Joint work with XXX and XXX.
|
||||
\end{center}
|
||||
\end{frame}
|
||||
|
||||
\begin{frame}{Outline}
|
||||
\tableofcontents
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||||
\end{frame}
|
||||
|
||||
\section{Guide}
|
||||
|
||||
\begin{frame}{Global Structure}
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||||
To create the ``global structure" of a presentation, with the time constraints in mind, proceed as follows:
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||||
|
||||
\medskip
|
||||
\begin{enumerate}
|
||||
\item Make a mental inventory of the things you can reasonably talk about within the time available.
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||||
|
||||
\item Categorize the inventory into sections and subsections. Both the sections and the subsections should follow a logical pattern.
|
||||
|
||||
\item Do not use more than four sections and not less than two per part.
|
||||
|
||||
\item Keep section and subsection titles self-explaining.
|
||||
\end{enumerate}
|
||||
|
||||
\end{frame}
|
||||
|
||||
\begin{frame}{Time Control}
|
||||
\begin{itemize}
|
||||
\item A simple rule for the number of frames is that you should have at most one frame per minute.
|
||||
|
||||
\medskip
|
||||
\item In most situations, you will have less time for your presentation than you would like.
|
||||
|
||||
\medskip
|
||||
\item Do not try to squeeze more into a presentation than time allows for.
|
||||
\end{itemize}
|
||||
\end{frame}
|
||||
|
||||
|
||||
\begin{frame}{Beginning and End}
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||||
People pay most attention at the beginning and at the end of talks.
|
||||
|
||||
\medskip
|
||||
\begin{itemize}
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||||
\item Begin with an explanation of what your talk is all about. Then explain what you or someone else has found out concerning the subject matter.
|
||||
|
||||
\medskip
|
||||
\item Always conclude your talk with a summary that repeats the main message of the talk in a short and simple way.
|
||||
\end{itemize}
|
||||
|
||||
\end{frame}
|
||||
|
||||
\begin{frame}{Frame Title}
|
||||
\begin{enumerate}
|
||||
\item The title should really explain things, not just give a cryptic summary that cannot be understood unless one has understood the whole slide.
|
||||
|
||||
\medskip
|
||||
\item In English, you should either always capitalize all words in a frame title except for words like ``a" or ``the" (as in a title), or you always use the normal lowercase letters.
|
||||
\begin{itemize}
|
||||
\item Introduction to Algorithms.
|
||||
\item Introduction to algorithms.
|
||||
\end{itemize}
|
||||
\end{enumerate}
|
||||
\end{frame}
|
||||
|
||||
\begin{frame}{Frame Content}
|
||||
\begin{enumerate}
|
||||
\item Use block environments like `theorem' and so on.
|
||||
|
||||
\medskip
|
||||
\item Prefer enumerations and itemize environments over plain text.
|
||||
|
||||
\medskip
|
||||
\item Do not use more than two levels of subitemizing.
|
||||
|
||||
\medskip
|
||||
\item A frame with too little on it is better than a frame with too much on it.
|
||||
\end{enumerate}
|
||||
|
||||
\bigskip
|
||||
Alert: \alert{Avoid using animations in Beamer slides.}
|
||||
\end{frame}
|
||||
|
||||
\begin{frame}{Graphic}
|
||||
\begin{enumerate}
|
||||
\item Visualization is helpful to the audience.
|
||||
|
||||
\medskip
|
||||
\item Like text, you should explain everything that is shown on a graphic.
|
||||
|
||||
\medskip
|
||||
\item Sometimes the complexity of a graphic is intentional and you are willing to spend much time explaining the graphic in great detail.
|
||||
\end{enumerate}
|
||||
|
||||
\end{frame}
|
||||
|
||||
\section{Demo}\label{sec:demo}
|
||||
|
||||
\subsection{Basic}
|
||||
|
||||
\begin{frame}{Highlighted Math}
|
||||
Some important formulas will be \alert{highlighted} because it's important.
|
||||
|
||||
\medskip
|
||||
We consider the system of linear equations
|
||||
\begin{equation}\label{eq:LE}
|
||||
\tcbhighmath{Ax = b}
|
||||
\end{equation}
|
||||
where $A\in\mathbb{R}^{n \times n}$, $b\in\mathbb{R}^n$.
|
||||
\end{frame}
|
||||
|
||||
|
||||
\begin{frame}{Columns \& Description \& List}
|
||||
|
||||
\begin{columns}
|
||||
|
||||
\begin{column}{0.49\textwidth}
|
||||
\begin{description}[leftmargin=1cm]
|
||||
\item[Description 1] Explanation 1
|
||||
\item[Description 2] Explanation 2
|
||||
\item[Description 3] Explanation 3
|
||||
\end{description}
|
||||
\end{column}
|
||||
|
||||
\hfill
|
||||
|
||||
\begin{column}{0.49\textwidth}
|
||||
\begin{itemize}
|
||||
\item Item 1
|
||||
\item Item 2
|
||||
\begin{enumerate}
|
||||
\item First item
|
||||
\item Second item
|
||||
\item Third item
|
||||
\end{enumerate}
|
||||
\item Item 3
|
||||
\begin{enumerate}
|
||||
\item First item
|
||||
\item Second item
|
||||
\end{enumerate}
|
||||
\end{itemize}
|
||||
\end{column}
|
||||
\end{columns}
|
||||
|
||||
\end{frame}
|
||||
|
||||
\begin{frame}{Reference \& URL}
|
||||
\begin{itemize}
|
||||
\item A citation example~\cite{vaswaniAttentionAllYou2023}.
|
||||
|
||||
\item A foot full citation example~\footfullcite{vaswaniAttentionAllYou2023}.
|
||||
|
||||
\item See Section~\ref{sec:demo} for details.
|
||||
|
||||
\item Here is a URL link to \href{https://www.openai.com}{OpenAI website}.
|
||||
\end{itemize}
|
||||
\end{frame}
|
||||
|
||||
\subsection{Block}
|
||||
|
||||
\begin{frame}
|
||||
\frametitle{Blocks 1}
|
||||
\begin{block}{Block Title}
|
||||
This is a regular block.
|
||||
\end{block}
|
||||
|
||||
\begin{alertblock}{Alert Block Title}
|
||||
This is an alert block.
|
||||
\end{alertblock}
|
||||
|
||||
\begin{exampleblock}{Example Block Title}
|
||||
This is an example block.
|
||||
\end{exampleblock}
|
||||
\end{frame}
|
||||
|
||||
\begin{frame}
|
||||
\frametitle{Blocks 2}
|
||||
\begin{definition}[XXX]
|
||||
This is a definition block.
|
||||
\end{definition}
|
||||
|
||||
\begin{lemma}[XXX]
|
||||
This is a lemma block.
|
||||
\end{lemma}
|
||||
|
||||
\begin{corollary}[XXX]
|
||||
This is a corollary block.
|
||||
\end{corollary}
|
||||
|
||||
\begin{example}[XXX]
|
||||
This is an example block.
|
||||
\end{example}
|
||||
|
||||
\end{frame}
|
||||
|
||||
\begin{frame}
|
||||
\frametitle{Blocks 3}
|
||||
\begin{theorem}[XXX]
|
||||
This is a theorem block.
|
||||
\[
|
||||
a^2 + b^2 = c^2
|
||||
\]
|
||||
\end{theorem}
|
||||
|
||||
\begin{proof}
|
||||
This is a proof block.
|
||||
\end{proof}
|
||||
|
||||
\end{frame}
|
||||
|
||||
\subsection{Table \& Figure}
|
||||
|
||||
\begin{frame}{Tables}
|
||||
\begin{table}
|
||||
\caption{Example Table}
|
||||
\begin{tabular}{|c|c|c|}
|
||||
\hline
|
||||
Header 1 & Header 2 & Header 3 \\
|
||||
\hline
|
||||
Cell 1 & Cell 2 & Cell 3 \\
|
||||
Cell 4 & Cell 5 & Cell 6 \\
|
||||
\hline
|
||||
\end{tabular}
|
||||
\end{table}
|
||||
|
||||
\begin{table}[ht]
|
||||
\centering
|
||||
\caption{Error and order}\label{tab:1}
|
||||
\begin{tabular}{c|ccccc}
|
||||
\hline
|
||||
m & 80 & 160 & 320 & 640 \\
|
||||
\hline
|
||||
error & 1.95e-4 & 4.88e-5 & 1.22e-5 & 3.05e-6 \\
|
||||
order & - & 2.00 & 2.00 & 2.00 \\
|
||||
\hline
|
||||
error & 1.95e-4 & 4.88e-5 & 1.22e-5 & 3.05e-6 \\
|
||||
order & - & 2.00 & 2.00 & 2.00 \\
|
||||
\hline
|
||||
\end{tabular}
|
||||
\end{table}
|
||||
\end{frame}
|
||||
|
||||
\begin{frame}{Figure}
|
||||
\begin{figure}
|
||||
\includegraphics[width=0.3\linewidth]{img.png}
|
||||
\caption{XXX}
|
||||
\end{figure}
|
||||
\end{frame}
|
||||
|
||||
\begin{frame}{Figures}
|
||||
\begin{figure}[htbp]
|
||||
\centering
|
||||
\begin{subfigure}[b]{0.45\textwidth}
|
||||
\centering
|
||||
\includegraphics[width=0.7\textwidth]{img1.png}
|
||||
\caption{XXX}\label{fig:subfig-a}
|
||||
\end{subfigure}
|
||||
\begin{subfigure}[b]{0.45\textwidth}
|
||||
\centering
|
||||
\includegraphics[width=0.7\textwidth]{img2.png}
|
||||
\caption{XXX}\label{fig:subfig-b}
|
||||
\end{subfigure}
|
||||
\caption{XXX}\label{fig:example}
|
||||
\end{figure}
|
||||
\end{frame}
|
||||
|
||||
|
||||
\begin{frame}{Figure + Columns}
|
||||
\begin{columns}
|
||||
\column{0.6\textwidth}
|
||||
\begin{figure}
|
||||
\includegraphics[width=0.5\linewidth]{img.png}
|
||||
\end{figure}
|
||||
\column{0.4\textwidth}
|
||||
This is column one with 0.4 text width.
|
||||
\end{columns}
|
||||
\end{frame}
|
||||
|
||||
\subsection{Algorithm \& Code}
|
||||
|
||||
\begin{frame}{Algorithm}
|
||||
\begin{algorithm}[H]
|
||||
\caption{Euclid's algorithm}
|
||||
\KwData{Two nonnegative integers $a$ and $b$}
|
||||
\KwResult{Their greatest common divisor $d = \gcd(a, b)$}
|
||||
\While{$b \neq 0$}{
|
||||
$r \leftarrow a \bmod b$\;
|
||||
$a \leftarrow b$\;
|
||||
$b \leftarrow r$\;
|
||||
}
|
||||
$d \leftarrow a$\;
|
||||
\end{algorithm}
|
||||
|
||||
\end{frame}
|
||||
|
||||
\begin{frame}[fragile]{Code}
|
||||
|
||||
\begin{lstlisting}[language=c++]
|
||||
#include <iostream>
|
||||
|
||||
int main() { // Hello World
|
||||
std::cout << "Hello, world!" << std::endl;
|
||||
return 0;
|
||||
}
|
||||
\end{lstlisting}
|
||||
\begin{lstlisting}[language=python]
|
||||
def greet(name):
|
||||
print(f"Hello, {name}!")
|
||||
|
||||
greet("John")
|
||||
\end{lstlisting}
|
||||
|
||||
\end{frame}
|
||||
|
||||
|
||||
\section{Conclusion}
|
||||
|
||||
\begin{frame}{Conclusion \& Future work}
|
||||
\begin{itemize}
|
||||
\item This is the conclusion
|
||||
\medskip
|
||||
\item This is the future work
|
||||
\end{itemize}
|
||||
\end{frame}
|
||||
|
||||
\begin{frame}
|
||||
\vspace{0.05\textheight}
|
||||
\Huge{\centerline{\color{simplebeamercolor}\textbf{Thank You!}}}
|
||||
\vspace{0.2\textheight}
|
||||
|
||||
% \nocite{*}
|
||||
\printbibliography[keyword=important,heading=none]
|
||||
\end{frame}
|
||||
|
||||
\end{document}
|
||||
@@ -0,0 +1,9 @@
|
||||
@online{vaswaniAttentionAllYou2023,
|
||||
title = {Attention {{Is All You Need}}},
|
||||
author = {Vaswani, Ashish and Shazeer, Noam and Parmar, Niki and Uszkoreit, Jakob and Jones, Llion and Gomez, Aidan N. and Kaiser, Lukasz and Polosukhin, Illia},
|
||||
number = {arXiv:1706.03762},
|
||||
doi = {10.48550/arXiv.1706.03762},
|
||||
url = {http://arxiv.org/abs/1706.03762},
|
||||
pubstate = {prepublished},
|
||||
keywords = {important}
|
||||
}
|
||||
@@ -0,0 +1,131 @@
|
||||
# beamer-setup 配置说明
|
||||
|
||||
## Beamer 样式配置
|
||||
|
||||
设置主题，包括导航栏样式，数学字体，主题颜色
|
||||
```latex
|
||||
\usetheme{default}
|
||||
\useoutertheme[subsection=false]{miniframes}
|
||||
\usefonttheme[onlymath]{serif}
|
||||
\definecolor{simplebeamercolor}{RGB}{57,89,199}
|
||||
\usecolortheme[named=simplebeamercolor]{structure}
|
||||
```
|
||||
|
||||
设置标题页样式：圆角，加阴影
|
||||
```latex
|
||||
\setbeamertemplate{title page}[default][colsep=-4bp,rounded=true,shadow=true]
|
||||
```
|
||||
|
||||
设置目录样式：section和subsection均开启编号，subsection加上缩进
|
||||
```latex
|
||||
\setbeamertemplate{section in toc}[sections numbered]
|
||||
\setbeamertemplate{subsection in toc}[subsections numbered]
|
||||
\addtobeamertemplate{subsection in toc}{\hspace{2em}}{}
|
||||
```
|
||||
|
||||
设置无序列表和有序列表的样式
|
||||
```latex
|
||||
\setbeamertemplate{itemize items}[circle]
|
||||
\setbeamertemplate{enumerate items}[default]
|
||||
```
|
||||
|
||||
设置caption样式：开启编号
|
||||
```latex
|
||||
\setbeamertemplate{caption}[numbered]
|
||||
```
|
||||
|
||||
设置底部样式：仅显示页码，移除导航按钮
|
||||
```latex
|
||||
\setbeamertemplate{footline}[frame number]{}
|
||||
\setbeamertemplate{navigation symbols}{}
|
||||
```
|
||||
|
||||
设置帧标题样式：在帧标题下面添加一条横线
|
||||
```latex
|
||||
\setbeamertemplate{frametitle}{\vspace*{0.5em}\insertframetitle\par\vskip-6pt\hrulefill\vspace{-0.1em}}
|
||||
```
|
||||
|
||||
设置标题样式
|
||||
```latex
|
||||
\setbeamercolor{title}{use=structure,fg=white,bg=structure.fg}
|
||||
```
|
||||
|
||||
设置顶部导航栏中的section样式
|
||||
```latex
|
||||
\setbeamercolor{section in head/foot}{fg=white,bg=structure.fg}
|
||||
```
|
||||
|
||||
设置各个元素的颜色样式
|
||||
```latex
|
||||
\setbeamercolor{block body}{bg=structure!10}
|
||||
\setbeamercolor{block title}{bg=structure!20}
|
||||
\setbeamercolor{block body alerted}{bg=alerted text.fg!10}
|
||||
\setbeamercolor{block title alerted}{bg=alerted text.fg!20}
|
||||
\setbeamercolor{block body example}{bg=green!10}
|
||||
\setbeamercolor{block title example}{bg=green!20}
|
||||
```
|
||||
|
||||
## 其它配置
|
||||
|
||||
导入常用的基础宏包
|
||||
```latex
|
||||
% fonts
|
||||
\usepackage[T1]{fontenc}
|
||||
\usepackage{mathrsfs}
|
||||
\usepackage{calligra}
|
||||
\usepackage{bm}
|
||||
|
||||
% math
|
||||
\usepackage{amsmath,amsthm,amsfonts,amssymb}
|
||||
|
||||
\usepackage{extarrows}
|
||||
\usepackage{booktabs}
|
||||
\usepackage{multirow}
|
||||
\usepackage{multicol}
|
||||
```
|
||||
|
||||
导入盒子宏包，并为`\tcbhighmath`命令设置预设样式
|
||||
```latex
|
||||
\usepackage[most]{tcolorbox}
|
||||
\tcbset{
|
||||
highlight math style={enhanced, colframe=blue!40,colback=yellow!20,arc=4pt,boxrule=1pt}
|
||||
}
|
||||
```
|
||||
|
||||
导入超链接支持的宏包
|
||||
```latex
|
||||
\usepackage{hyperref}
|
||||
\hypersetup{
|
||||
colorlinks=true,linkcolor=,urlcolor=cyan
|
||||
}
|
||||
```
|
||||
|
||||
插入图片以及子图的相关宏包，对图片文件夹路径进行配置
|
||||
```latex
|
||||
\usepackage{graphicx}
|
||||
\graphicspath{
|
||||
{./figure/}{./figures/}{./image/}{./images/}{./graphic/}{./graphics/}{./picture/}{./pictures/}
|
||||
}
|
||||
\usepackage{subcaption}
|
||||
```
|
||||
|
||||
导入算法环境的宏包
|
||||
```latex
|
||||
\usepackage[ruled,linesnumbered,noline]{algorithm2e}
|
||||
```
|
||||
|
||||
导入代码环境的宏包并配置样式
|
||||
```latex
|
||||
\usepackage{listings}
|
||||
\lstdefinestyle{simpleStyle}{
|
||||
basicstyle=\ttfamily\small,
|
||||
breaklines=true,
|
||||
keywordstyle=\color{blue},
|
||||
identifierstyle=\color{black},
|
||||
stringstyle=\color{violet},
|
||||
commentstyle=\color[RGB]{34,139,34},
|
||||
showstringspaces=false,
|
||||
frame=single,
|
||||
framesep=1em,
|
||||
}
|
||||
\lstset{style=simpleStyle}
|
||||
@@ -0,0 +1,275 @@
|
||||
# note-setup 配置说明
|
||||
|
||||
## 基本配置
|
||||
|
||||
导入常用的基础宏包
|
||||
```latex
|
||||
\usepackage{amsmath,amsthm,amsfonts,amssymb}
|
||||
\usepackage{mathtools}
|
||||
\usepackage{mathrsfs}
|
||||
\usepackage{bm}
|
||||
\usepackage{extarrows}
|
||||
\usepackage[a4paper, margin=1in]{geometry}
|
||||
\usepackage{float}
|
||||
\usepackage{indentfirst}
|
||||
\usepackage{anyfontsize}
|
||||
\usepackage{booktabs,multirow,multicol}
|
||||
\usepackage[shortlabels,inline]{enumitem}
|
||||
\usepackage{appendix}
|
||||
```
|
||||
|
||||
导入颜色支持的宏包
|
||||
```latex
|
||||
\usepackage[dvipsnames]{xcolor}
|
||||
```
|
||||
|
||||
插入图片以及子图的相关宏包，对图片文件夹路径进行配置
|
||||
```latex
|
||||
\usepackage{graphicx}
|
||||
\graphicspath{
|
||||
{./figure/}{./figures/}{./image/}{./images/}{./graphic/}
|
||||
{./graphics/}{./picture/}{./pictures/}
|
||||
}
|
||||
\usepackage{subcaption}
|
||||
```
|
||||
|
||||
导入算法环境的宏包
|
||||
```latex
|
||||
\usepackage[ruled,linesnumbered,noline]{algorithm2e}
|
||||
```
|
||||
|
||||
导入代码环境的宏包并配置样式
|
||||
```latex
|
||||
\usepackage{listings}
|
||||
\lstdefinestyle{simpleStyle}{
|
||||
basicstyle=\ttfamily\small,
|
||||
breaklines=true,
|
||||
keywordstyle=\color{blue},
|
||||
identifierstyle=\color{black},
|
||||
stringstyle=\color{violet},
|
||||
commentstyle=\color[RGB]{34,139,34},
|
||||
showstringspaces=false,
|
||||
numbers=left,
|
||||
numbersep=2em,
|
||||
numberstyle=\footnotesize,
|
||||
frame=single,
|
||||
framesep=1em,
|
||||
}
|
||||
\lstset{style=simpleStyle}
|
||||
```
|
||||
|
||||
导入超链接支持的宏包
|
||||
```latex
|
||||
\usepackage{hyperref}
|
||||
\hypersetup{
|
||||
colorlinks=true,linkcolor=,urlcolor=cyan
|
||||
}
|
||||
```
|
||||
|
||||
|
||||
## 定理环境
|
||||
|
||||
修改 proof 环境的引导词为 Proof，样式为加粗无斜体
|
||||
```latex
|
||||
\renewcommand*{\proofname}{\normalfont\bfseries Proof}
|
||||
```
|
||||
|
||||
导入 thmtools 宏包，使用 `\declaretheorem` 命令来定义各种定理环境（比`\newtheorem`命令更加方便）
|
||||
```latex
|
||||
\usepackage{thmtools}
|
||||
```
|
||||
|
||||
使用的 `\declaretheorem` 命令参数包括：
|
||||
|
||||
- `style`: 定理环境样式，amsthm 内置的样式包括
|
||||
- plain（默认）：引导词是正体，内容是斜体
|
||||
- definition：引导词和内容都是正体
|
||||
- remark：引导词是斜体，内容是正体
|
||||
- `name`：显示在正文中的引导词（不等于环境的名称）
|
||||
- `numbered`：是否开启编号
|
||||
- `numberwithin`、`sibling`：定义编号规则，例如
|
||||
- `numberwithin=section`：基于 section 编号
|
||||
- `sibling=theorem`：共享 `theorem` 环境的编号
|
||||
|
||||
|
||||
具体包括：
|
||||
|
||||
- 采用 plain 样式，定义 `theorem`/`theorem*`、`proposition`/`proposition*`、`corollary`/`corollary*`、`lemma`/`lemma*`、`claim`/`claim*` 环境
|
||||
```latex
|
||||
%% define environments
|
||||
|
||||
\declaretheorem[style=plain, name=Theorem, numbered=yes, numberwithin=section]{theorem}
|
||||
\declaretheorem[style=plain, name=Theorem, numbered=no]{theorem*}
|
||||
|
||||
\declaretheorem[style=plain, name=Proposition, numbered=yes, sibling=theorem]{proposition}
|
||||
\declaretheorem[style=plain, name=Proposition, numbered=no]{proposition*}
|
||||
|
||||
\declaretheorem[style=plain, name=Corollary, numbered=yes, sibling=theorem]{corollary}
|
||||
\declaretheorem[style=plain, name=Corollary, numbered=no]{corollary*}
|
||||
|
||||
\declaretheorem[style=plain, name=Lemma, numbered=yes, sibling=theorem]{lemma}
|
||||
\declaretheorem[style=plain, name=Lemma, numbered=no]{lemma*}
|
||||
|
||||
\declaretheorem[style=plain, name=Claim, numbered=yes, sibling=theorem]{claim}
|
||||
\declaretheorem[style=plain, name=Claim, numbered=no]{claim*}
|
||||
```
|
||||
- 采用 definition 样式，定义 `definition`/`definition*`、`example`/`example*`、`problem`/`problem*` 环境
|
||||
```latex
|
||||
\declaretheorem[style=definition, name=Definition, numbered=yes, numberwithin=section]{definition}
|
||||
\declaretheorem[style=definition, name=Definition, numbered=no]{definition*}
|
||||
|
||||
\declaretheorem[style=definition, name=Example, numbered=yes, numberwithin=section]{example}
|
||||
\declaretheorem[style=definition, name=Example, numbered=no]{example*}
|
||||
|
||||
\declaretheorem[style=definition, name=Problem, numbered=yes, numberwithin=section]{problem}
|
||||
\declaretheorem[style=definition, name=Problem, numbered=no]{problem*}
|
||||
```
|
||||
- 采用 remark 样式，定义 `remark`/`remark*` 环境
|
||||
```latex
|
||||
\declaretheorem[style=remark, name=Remark, numbered=yes, numberwithin=section]{remark}
|
||||
\declaretheorem[style=remark, name=Remark, numbered=no]{remark*}
|
||||
```
|
||||
- 使用 `\declaretheoremstyle` 命令定义新的 notestyle 样式，类似 remark 环境，但是引导词变成 Note，并且有颜色
|
||||
```latex
|
||||
\declaretheoremstyle[headfont=\color{orange!80}\bfseries, bodyfont=\normalfont, spaceabove=3pt, spacebelow=3pt]{notestyle}
|
||||
```
|
||||
- 采用新定义的 notestyle 样式，定义 `note`/`note*` 环境
|
||||
```latex
|
||||
\declaretheorem[style=notestyle, name=Note, numbered=yes, numberwithin=section]{note}
|
||||
\declaretheorem[style=notestyle, name=Note, numbered=no]{note*}
|
||||
```
|
||||
- 使用 `\declaretheoremstyle` 命令定义新的 solutionstyle 样式，类似 proof 环境，但是引导词变成 Solution
|
||||
```latex
|
||||
\declaretheoremstyle[headfont=\bfseries, bodyfont=\normalfont, spaceabove=3pt, spacebelow=3pt, qed=\ensuremath{\square}]{solutionstyle}
|
||||
```
|
||||
- 采用新定义的 solutionstyle 样式，定义 `solution`/`solition*` 环境
|
||||
```latex
|
||||
\declaretheorem[style=solutionstyle, name=Solution, numbered=yes, numberwithin=section]{solution}
|
||||
\declaretheorem[style=solutionstyle, name=Solution, numbered=no]{solution*}
|
||||
```
|
||||
|
||||
|
||||
## 定理环境的美化
|
||||
|
||||
导入 tcolorbox 宏包以使用盒子美化现有的定理环境
|
||||
```latex
|
||||
\usepackage[most]{tcolorbox}
|
||||
```
|
||||
|
||||
tcolorbox 宏包的功能非常复杂，这里只需要使用 `\tcolorboxenvironment` 命令。
|
||||
|
||||
首先封装一个 `\newtcbenvironment` 命令
|
||||
```latex
|
||||
\newcommand{\newtcbenvironment}[2]{
|
||||
\tcolorboxenvironment{#1}{#2, enhanced, breakable, sharp corners, boxrule=1pt}
|
||||
\tcolorboxenvironment{#1*}{#2, enhanced, breakable, rounded corners, boxrule=1pt}
|
||||
}
|
||||
```
|
||||
|
||||
它可以同时为 `#1` 以及 `#1*` 这两个环境加上盒子，公共参数：
|
||||
|
||||
- `#2`：在定义时传入的参数，这里主要是边框颜色和背景色
|
||||
- `enhanced`：样式增强
|
||||
- `breakable`：允许跨页
|
||||
- `boxrule=1pt`：边框宽度为 1pt
|
||||
|
||||
还有不同的参数：
|
||||
|
||||
- `#1` 盒子使用直角边框（`sharp corners`）
|
||||
- `#1*` 盒子使用圆角边框（`rounded corners`）
|
||||
|
||||
> 对 `\newtcbenvironment` 内部的公共参数部分进行调整，就可以实现所有盒子只保留左侧边框或者四周无边框等不同的效果。
|
||||
|
||||
下面就是为前面的各种定理环境加上盒子，参数是盒子的边框颜色 `colframe` 和背景色 `colback`
|
||||
```latex
|
||||
%% define styles
|
||||
|
||||
\newtcbenvironment{theorem}{colframe=RoyalPurple, colback=RoyalPurple!8}
|
||||
\newtcbenvironment{proposition}{colframe=RoyalPurple, colback=RoyalPurple!8}
|
||||
\newtcbenvironment{corollary}{colframe=NavyBlue, colback=SkyBlue!8}
|
||||
\newtcbenvironment{lemma}{colframe=NavyBlue, colback=SkyBlue!8}
|
||||
\newtcbenvironment{claim}{colframe=NavyBlue, colback=SkyBlue!8}
|
||||
|
||||
\newtcbenvironment{definition}{colframe=ForestGreen, colback=ForestGreen!5}
|
||||
\newtcbenvironment{example}{colframe=RawSienna, colback=RawSienna!5}
|
||||
\newtcbenvironment{problem}{colframe=WildStrawberry!30, colback=WildStrawberry!5}
|
||||
```
|
||||
|
||||
具体颜色如下表
|
||||
|
||||
| 环境名 | 盒子边框颜色 | 盒子背景色 |
|
||||
| :---------------------------: | :---------------: | :--------------: |
|
||||
| `theorem`, `proposition` | RoyalPurple | RoyalPurple!8 |
|
||||
| `corollary`, `lemma`, `claim` | NavyBlue | SkyBlue!8 |
|
||||
| `definition` | ForestGreen | ForestGreen!5 |
|
||||
| `example` | RawSienna | RawSienna!5 |
|
||||
| `problem` | WildStrawberry!30 | WildStrawberry!5 |
|
||||
|
||||
说明：
|
||||
|
||||
- 这里采用 `xcolor` 宏包所提供的标准颜色，`xxx!n`代表将颜色 `xxx` 以 `n%` 比例和白色混合得到的浅颜色。
|
||||
- 为了避免颜色过多，对语义类似的环境合并采用相同的盒子颜色。
|
||||
|
||||
此外，还添加了一个没有标题的简单盒子 `cbox`
|
||||
```latex
|
||||
%% cbox
|
||||
\newtcolorbox{cbox}[1][]{%
|
||||
enhanced,
|
||||
breakable,
|
||||
sharp corners,
|
||||
leftrule=2pt, rightrule=0pt, toprule=0pt, bottomrule=0pt,
|
||||
colframe=SkyBlue,
|
||||
colback=SkyBlue!8,
|
||||
#1
|
||||
}
|
||||
```
|
||||
|
||||
|
||||
## 自定义封面页
|
||||
|
||||
自定义封面页（参考 [ElegantBook](https://github.com/ElegantLaTeX/ElegantBook) 以及它的若干衍生模板）
|
||||
```latex
|
||||
%% cover
|
||||
\usepackage{titling}
|
||||
\newcommand{\extrainfo}{}
|
||||
\renewcommand{\extrainfo}[1]{\renewcommand{\extrainfocontent}{#1}}
|
||||
\newcommand{\extrainfocontent}{}
|
||||
\newcommand{\makecover}[1]{%
|
||||
\begin{titlepage}
|
||||
\newgeometry{margin=0in}
|
||||
\parindent=0pt
|
||||
\includegraphics[width=\linewidth]{#1} % size = 1280*1024
|
||||
\vfill
|
||||
\begin{center}
|
||||
\parbox{0.618\textwidth}{%
|
||||
\raggedleft{\bfseries \Huge \thetitle} \\[0.6pt]
|
||||
\rule{0.618\textwidth}{4pt} \\
|
||||
}
|
||||
\end{center}
|
||||
\vfill
|
||||
\begin{center}
|
||||
\parbox{0.618\textwidth}{%
|
||||
\raggedleft\Large
|
||||
\begin{tabular}{r}
|
||||
\theauthor \\
|
||||
\thedate \\
|
||||
\end{tabular}%
|
||||
}
|
||||
\end{center}
|
||||
\vfill
|
||||
\begin{center}
|
||||
\parbox[t]{0.7\textwidth}{\centering \itshape \extrainfocontent}
|
||||
\end{center}
|
||||
\vfill
|
||||
\end{titlepage}
|
||||
\restoregeometry
|
||||
\thispagestyle{empty}
|
||||
}
|
||||
% USAGE
|
||||
% \extrainfo{xxx}
|
||||
% \makecover{/path/to/cover.png}
|
||||
```
|
||||
|
||||
这里没有选择覆盖`\maketitle`，而是改成新命令`\makecover`，接收的一个必要参数为封面图的路径。
|
||||
|
||||
封面图建议尺寸为1280*1024，尤其对于jpg格式的图片，尺寸不同会导致编译报错。
|
||||
@@ -0,0 +1,13 @@
|
||||
# example.py
|
||||
|
||||
def factorial_generator(n):
|
||||
result = 1
|
||||
for i in range(1, n + 1):
|
||||
result *= i
|
||||
yield result
|
||||
|
||||
|
||||
gen = factorial_generator(5)
|
||||
|
||||
for value in gen:
|
||||
print(value)
|
||||
Binary file not shown.
|
After Width: | Height: | Size: 15 KiB |
Binary file not shown.
|
After Width: | Height: | Size: 32 KiB |
Binary file not shown.
|
After Width: | Height: | Size: 27 KiB |
@@ -0,0 +1,114 @@
|
||||
%!TEX program = xelatex
|
||||
\documentclass{article}
|
||||
\usepackage[UTF8,scheme=plain]{ctex}
|
||||
\usepackage[a4paper,left=1.25in,right=1.25in,top=1in,bottom=1in]{geometry}
|
||||
|
||||
\usepackage{amsmath,amsthm,amsfonts,amssymb}
|
||||
\usepackage{graphicx}
|
||||
\usepackage{float}
|
||||
\usepackage{subcaption}
|
||||
\usepackage{booktabs,multirow,multicol}
|
||||
\usepackage{indentfirst}
|
||||
\usepackage{hyperref}
|
||||
\usepackage{setspace}
|
||||
\usepackage{listings}
|
||||
\usepackage[ruled,noline]{algorithm2e}
|
||||
\usepackage{bm}
|
||||
\usepackage{xcolor}
|
||||
|
||||
\graphicspath{
|
||||
{./figure/}{./figures/}{./image/}{./images/}{./graphic/}{./graphics/}{./picture/}{./pictures/}
|
||||
}
|
||||
|
||||
\lstdefinestyle{simpleStyle}{
|
||||
basicstyle=\ttfamily\small,
|
||||
breaklines=true,
|
||||
keywordstyle=\color{blue},
|
||||
identifierstyle=\color{black},
|
||||
stringstyle=\color{violet},
|
||||
commentstyle=\color[RGB]{34,139,34},
|
||||
showstringspaces=false,
|
||||
numbers=left,
|
||||
numbersep=2em,
|
||||
numberstyle=\footnotesize,
|
||||
frame=single,
|
||||
framesep=1em,
|
||||
}
|
||||
\lstset{style=simpleStyle}
|
||||
|
||||
\title{Lab Report Template}
|
||||
\author{Author}
|
||||
\date{\today}
|
||||
|
||||
\begin{document}
|
||||
|
||||
\maketitle
|
||||
|
||||
\section{Introduction}
|
||||
|
||||
xxxx.
|
||||
|
||||
\section{Method}
|
||||
|
||||
xxxx.
|
||||
|
||||
\section{Results}
|
||||
|
||||
xxxx.
|
||||
|
||||
\begin{table}[ht]
|
||||
\centering
|
||||
\caption{Error and Order Table}\label{tab:demo0}
|
||||
\begin{tabular}{c|ccccc}
|
||||
\hline
|
||||
& 10 & 20 & 40 & 80 & 160 \\
|
||||
\hline
|
||||
$L^{\infty}$~error & 0.283284 & 0.0758226 & 0.0192964 & 0.00484029 & 0.00121093 \\
|
||||
order & - & 1.90 & 1.97 & 2.00 & 2.00 \\
|
||||
\hline
|
||||
\end{tabular}
|
||||
\end{table}
|
||||
|
||||
\begin{figure}[htbp]
|
||||
\centering
|
||||
\includegraphics[width=.8\textwidth]{demo1.png}
|
||||
\caption{Figure}\label{fig:demo1}
|
||||
\end{figure}
|
||||
|
||||
\begin{figure}[htbp]
|
||||
\centering
|
||||
\begin{subfigure}[b]{0.47\textwidth}
|
||||
\centering
|
||||
\includegraphics[width=\textwidth]{demo2-1.png}
|
||||
\caption{Subplot 1}
|
||||
\label{fig:demo2-a}
|
||||
\end{subfigure}
|
||||
\begin{subfigure}[b]{0.47\textwidth}
|
||||
\centering
|
||||
\includegraphics[width=\textwidth]{demo2-2.png}
|
||||
\caption{Subplot 2}
|
||||
\label{fig:demo2-b}
|
||||
\end{subfigure}
|
||||
\caption{Subplots}
|
||||
\label{fig:demo2}
|
||||
\end{figure}
|
||||
|
||||
\section{Conclusion}
|
||||
|
||||
xxxx.
|
||||
|
||||
\section{Code Demo}
|
||||
|
||||
\begin{lstlisting}[style=simpleStyle, caption=Demo (C++), language=c++, label=lst:cpp]
|
||||
#include <iostream>
|
||||
|
||||
int main(){
|
||||
std::cout << "Hello World!" << std::endl;
|
||||
return 0;
|
||||
}
|
||||
\end{lstlisting}
|
||||
|
||||
\lstinputlisting[style=simpleStyle, caption=Demo (Python), language=python, label=lst:python]{example.py}
|
||||
|
||||
|
||||
\end{document}
|
||||
Binary file not shown.
|
After Width: | Height: | Size: 856 KiB |
Binary file not shown.
@@ -0,0 +1,350 @@
|
||||
\documentclass{article}
|
||||
\input{../note-setup}
|
||||
|
||||
\title{\LaTeX{} Note Template}
|
||||
\author{Author}
|
||||
\date{\today}
|
||||
\extrainfo{Github: \href{https://github.com/fenglielie/latexzero}{https://github.com/fenglielie/latexzero}}
|
||||
|
||||
\begin{document}
|
||||
|
||||
% \maketitle
|
||||
\makecover{../cover/cover.png}
|
||||
|
||||
\section{Theorem, Proposition, Proof}
|
||||
|
||||
\begin{theorem}
|
||||
If $1<p<\infty$ and $m > n/p$, or $p=1$ and $m \ge n$, there exist a constant $C = C(m,n,\gamma,p)$, such that
|
||||
\begin{equation*}
|
||||
\Vert R^m u \Vert_{L^\infty(\Omega)} \le C d^{m-n/p} |u|_{W^m_p(\Omega)}
|
||||
\end{equation*}
|
||||
for all $u \in W^m_p(\Omega)$.
|
||||
\end{theorem}
|
||||
\begin{proof}
|
||||
First, we assume that $u \in C^m(\Omega) \cap W^m_p(\Omega)$. We can use the pointwise representation of $R^mu(x)$.
|
||||
\begin{align*}
|
||||
|R^mu(x)| ={} & m \left| \sum_{|\alpha| = m} \int_{C_x} k_{\alpha}(x,z) D^\alpha u(z)\,dz \right| \notag \\
|
||||
\le{} & C \sum_{|\alpha|=m} \int_{\Omega} |x-z|^{-n+m} |D^\alpha u(z)|\,dz \notag \\
|
||||
\le{} & C' d^{m-n/p} |u|_{W^m_p(\Omega)}.
|
||||
\end{align*}
|
||||
The proof can be completed via a density argument.
|
||||
\end{proof}
|
||||
|
||||
\begin{theorem}[xxx]
|
||||
If $1<p<\infty$ and $m > n/p$, or $p=1$ and $m \ge n$, there exist a constant $C = C(m,n,\gamma,p)$, such that
|
||||
\begin{equation*}
|
||||
\Vert R^m u \Vert_{L^\infty(\Omega)} \le C d^{m-n/p} |u|_{W^m_p(\Omega)}
|
||||
\end{equation*}
|
||||
for all $u \in W^m_p(\Omega)$.
|
||||
\end{theorem}
|
||||
\begin{proof}[\upshape\bfseries Proof of xxx]
|
||||
First, we assume that $u \in C^m(\Omega) \cap W^m_p(\Omega)$. We can use the pointwise representation of $R^mu(x)$.
|
||||
\begin{align*}
|
||||
|R^mu(x)| ={} & m \left| \sum_{|\alpha| = m} \int_{C_x} k_{\alpha}(x,z) D^\alpha u(z)\,dz \right| \notag \\
|
||||
\le{} & C \sum_{|\alpha|=m} \int_{\Omega} |x-z|^{-n+m} |D^\alpha u(z)|\,dz \notag \\
|
||||
\le{} & C' d^{m-n/p} |u|_{W^m_p(\Omega)}.
|
||||
\end{align*}
|
||||
The proof can be completed via a density argument.
|
||||
\end{proof}
|
||||
|
||||
\begin{theorem*}
|
||||
If $1<p<\infty$ and $m > n/p$, or $p=1$ and $m \ge n$, there exist a constant $C = C(m,n,\gamma,p)$, such that
|
||||
\begin{equation*}
|
||||
\Vert R^m u \Vert_{L^\infty(\Omega)} \le C d^{m-n/p} |u|_{W^m_p(\Omega)}
|
||||
\end{equation*}
|
||||
for all $u \in W^m_p(\Omega)$.
|
||||
\end{theorem*}
|
||||
\begin{proof}
|
||||
First, we assume that $u \in C^m(\Omega) \cap W^m_p(\Omega)$. We can use the pointwise representation of $R^mu(x)$.
|
||||
\begin{align*}
|
||||
|R^mu(x)| ={} & m \left| \sum_{|\alpha| = m} \int_{C_x} k_{\alpha}(x,z) D^\alpha u(z)\,dz \right| \notag \\
|
||||
\le{} & C \sum_{|\alpha|=m} \int_{\Omega} |x-z|^{-n+m} |D^\alpha u(z)|\,dz \notag \\
|
||||
\le{} & C' d^{m-n/p} |u|_{W^m_p(\Omega)}.
|
||||
\end{align*}
|
||||
The proof can be completed via a density argument.
|
||||
\end{proof}
|
||||
|
||||
\begin{proposition}
|
||||
\begin{equation*}
|
||||
Q^m u(x) = \sum_{|\lambda| < m} \left( \int_B \psi_\lambda(y) u(y)\,dy \right) x^\lambda
|
||||
\end{equation*}
|
||||
where $\psi_\lambda \in C_0^\infty(\mathbb{R}^n)$ and $\mathrm{supp}(\phi_\lambda) \in \overline{B}$.
|
||||
\end{proposition}
|
||||
\begin{proof}
|
||||
This follows from xxx if we define
|
||||
\begin{equation*}
|
||||
\psi_\lambda(y) = \sum_{\alpha \ge \lambda,|\alpha|<m}
|
||||
\frac{(-1)^{|\alpha|}}{\alpha !} a_{[\lambda,\alpha-\lambda]} D^\alpha(y^{\alpha-\lambda} \phi(y)).
|
||||
\end{equation*}
|
||||
\end{proof}
|
||||
|
||||
\begin{proposition}[xxx]
|
||||
\begin{equation*}
|
||||
Q^m u(x) = \sum_{|\lambda| < m} \left( \int_B \psi_\lambda(y) u(y)\,dy \right) x^\lambda
|
||||
\end{equation*}
|
||||
where $\psi_\lambda \in C_0^\infty(\mathbb{R}^n)$ and $\mathrm{supp}(\phi_\lambda) \in \overline{B}$.
|
||||
\end{proposition}
|
||||
\begin{proof}[\upshape\bfseries Proof of xxx]
|
||||
This follows from xxx if we define
|
||||
\begin{equation*}
|
||||
\psi_\lambda(y) = \sum_{\alpha \ge \lambda,|\alpha|<m}
|
||||
\frac{(-1)^{|\alpha|}}{\alpha !} a_{[\lambda,\alpha-\lambda]} D^\alpha(y^{\alpha-\lambda} \phi(y)).
|
||||
\end{equation*}
|
||||
\end{proof}
|
||||
|
||||
\begin{proposition*}
|
||||
\begin{equation*}
|
||||
Q^m u(x) = \sum_{|\lambda| < m} \left( \int_B \psi_\lambda(y) u(y)\,dy \right) x^\lambda
|
||||
\end{equation*}
|
||||
where $\psi_\lambda \in C_0^\infty(\mathbb{R}^n)$ and $\mathrm{supp}(\phi_\lambda) \in \overline{B}$.
|
||||
\end{proposition*}
|
||||
\begin{proof}
|
||||
This follows from xxx if we define
|
||||
\begin{equation*}
|
||||
\psi_\lambda(y) = \sum_{\alpha \ge \lambda,|\alpha|<m}
|
||||
\frac{(-1)^{|\alpha|}}{\alpha !} a_{[\lambda,\alpha-\lambda]} D^\alpha(y^{\alpha-\lambda} \phi(y)).
|
||||
\end{equation*}
|
||||
\end{proof}
|
||||
|
||||
\section{Corollary, Lemma, Claim}
|
||||
|
||||
\begin{corollary}
|
||||
Under the assumption of xxx, the following inequality holds
|
||||
\begin{equation*}
|
||||
\inf_{v \in P^{m-1}} \Vert u - v \Vert_{W^k_p(\Omega)} \le C_{m,n,\gamma} d^{m-k} |u|_{W^k_p(\Omega)}, \,\, k = 0,1,\dots,m,
|
||||
\end{equation*}
|
||||
\end{corollary}
|
||||
|
||||
\begin{corollary}[xxx]
|
||||
Under the assumption of xxx, the following inequality holds
|
||||
\begin{equation*}
|
||||
\inf_{v \in P^{m-1}} \Vert u - v \Vert_{W^k_p(\Omega)} \le C_{m,n,\gamma} d^{m-k} |u|_{W^k_p(\Omega)}, \,\, k = 0,1,\dots,m,
|
||||
\end{equation*}
|
||||
\end{corollary}
|
||||
|
||||
\begin{corollary*}
|
||||
Under the assumption of xxx, the following inequality holds
|
||||
\begin{equation*}
|
||||
\inf_{v \in P^{m-1}} \Vert u - v \Vert_{W^k_p(\Omega)} \le C_{m,n,\gamma} d^{m-k} |u|_{W^k_p(\Omega)}, \,\, k = 0,1,\dots,m,
|
||||
\end{equation*}
|
||||
\end{corollary*}
|
||||
|
||||
\begin{lemma}
|
||||
Let $f \in L^p(\Omega)$ for $p \ge 1$ and $m \ge 1$ and let
|
||||
\[
|
||||
g(x) = \int_\Omega |x-z|^{-n+m} |f(z)|\,dz
|
||||
\]
|
||||
Then
|
||||
\begin{equation*}
|
||||
\Vert g \Vert_{L^p(\Omega)} \le C_{m,n} d^m \Vert f\Vert_{L^p(\Omega)}.
|
||||
\end{equation*}
|
||||
\end{lemma}
|
||||
|
||||
\begin{lemma}[xxx]
|
||||
Let $f \in L^p(\Omega)$ for $p \ge 1$ and $m \ge 1$ and let
|
||||
\[
|
||||
g(x) = \int_\Omega |x-z|^{-n+m} |f(z)|\,dz
|
||||
\]
|
||||
Then
|
||||
\begin{equation*}
|
||||
\Vert g \Vert_{L^p(\Omega)} \le C_{m,n} d^m \Vert f\Vert_{L^p(\Omega)}.
|
||||
\end{equation*}
|
||||
\end{lemma}
|
||||
|
||||
\begin{lemma*}
|
||||
Let $f \in L^p(\Omega)$ for $p \ge 1$ and $m \ge 1$ and let
|
||||
\[
|
||||
g(x) = \int_\Omega |x-z|^{-n+m} |f(z)|\,dz
|
||||
\]
|
||||
Then
|
||||
\begin{equation*}
|
||||
\Vert g \Vert_{L^p(\Omega)} \le C_{m,n} d^m \Vert f\Vert_{L^p(\Omega)}.
|
||||
\end{equation*}
|
||||
\end{lemma*}
|
||||
|
||||
\begin{claim}
|
||||
$Q^m u$ is a polynomial of degree less than $m$ in $x$.
|
||||
\end{claim}
|
||||
|
||||
\begin{claim}[xxx]
|
||||
$Q^m u$ is a polynomial of degree less than $m$ in $x$.
|
||||
\end{claim}
|
||||
|
||||
\begin{claim*}
|
||||
$Q^m u$ is a polynomial of degree less than $m$ in $x$.
|
||||
\end{claim*}
|
||||
|
||||
\section{Definition}
|
||||
|
||||
\begin{definition}
|
||||
$\Omega$ is star-shaped with respect to the ball $B$ if , for all $x \in \Omega$, the closed convex hull of $\{x\} \cup B$ is a subset of $\Omega$.
|
||||
\end{definition}
|
||||
|
||||
\begin{definition}[xxx]
|
||||
$\Omega$ is star-shaped with respect to the ball $B$ if , for all $x \in \Omega$, the closed convex hull of $\{x\} \cup B$ is a subset of $\Omega$.
|
||||
\end{definition}
|
||||
|
||||
\begin{definition*}
|
||||
$\Omega$ is star-shaped with respect to the ball $B$ if , for all $x \in \Omega$, the closed convex hull of $\{x\} \cup B$ is a subset of $\Omega$.
|
||||
\end{definition*}
|
||||
|
||||
\section{Example}
|
||||
|
||||
\begin{example}
|
||||
The integral form of the Taylor remainder for $f \in C^m([0,1])$ is given by
|
||||
\begin{equation*}
|
||||
f(s) = \sum_{k=0}^{m-1}\frac{1}{k!} f^{(k)}(0) + \int_0^s \frac{1}{(m-1)!} f^{(m)}(t)(s-t)^{m-1}\,dt.
|
||||
\end{equation*}
|
||||
\end{example}
|
||||
|
||||
\begin{example}[xxx]
|
||||
The integral form of the Taylor remainder for $f \in C^m([0,1])$ is given by
|
||||
\begin{equation*}
|
||||
f(s) = \sum_{k=0}^{m-1}\frac{1}{k!} f^{(k)}(0) + \int_0^s \frac{1}{(m-1)!} f^{(m)}(t)(s-t)^{m-1}\,dt.
|
||||
\end{equation*}
|
||||
\end{example}
|
||||
|
||||
\begin{example*}
|
||||
The integral form of the Taylor remainder for $f \in C^m([0,1])$ is given by
|
||||
\begin{equation*}
|
||||
f(s) = \sum_{k=0}^{m-1}\frac{1}{k!} f^{(k)}(0) + \int_0^s \frac{1}{(m-1)!} f^{(m)}(t)(s-t)^{m-1}\,dt.
|
||||
\end{equation*}
|
||||
\end{example*}
|
||||
|
||||
\section{Problem, Solution}
|
||||
|
||||
\begin{problem}
|
||||
Calculate the integral of the function $g(x) = 3x^2$ with respect to $x$.
|
||||
\end{problem}
|
||||
|
||||
\begin{solution}
|
||||
To calculate the integral of $g(x) = 3x^2$, we use the power rule for integration:
|
||||
\[
|
||||
\int 3x^2 \, dx = x^3 + C
|
||||
\]
|
||||
where $C$ is the constant of integration.
|
||||
\end{solution}
|
||||
|
||||
\begin{problem}[xxx]
|
||||
Calculate the integral of the function $g(x) = 3x^2$ with respect to $x$.
|
||||
\end{problem}
|
||||
\begin{solution}[xxx]
|
||||
To calculate the integral of $g(x) = 3x^2$, we use the power rule for integration:
|
||||
\[
|
||||
\int 3x^2 \, dx = x^3 + C
|
||||
\]
|
||||
where $C$ is the constant of integration.
|
||||
\end{solution}
|
||||
|
||||
\begin{problem*}
|
||||
Calculate the integral of the function $g(x) = 3x^2$ with respect to $x$.
|
||||
\end{problem*}
|
||||
\begin{solution*}
|
||||
To calculate the integral of $g(x) = 3x^2$, we use the power rule for integration:
|
||||
\[
|
||||
\int 3x^2 \, dx = x^3 + C
|
||||
\]
|
||||
where $C$ is the constant of integration.
|
||||
\end{solution*}
|
||||
|
||||
\section{Remark}
|
||||
|
||||
\begin{remark}
|
||||
Such a polynomial is not unique, due to the choice od cut-off function $\phi$.
|
||||
\end{remark}
|
||||
|
||||
\begin{remark}[xxx]
|
||||
Such a polynomial is not unique, due to the choice od cut-off function $\phi$.
|
||||
\end{remark}
|
||||
|
||||
\begin{remark*}
|
||||
Such a polynomial is not unique, due to the choice od cut-off function $\phi$.
|
||||
\end{remark*}
|
||||
|
||||
\section{Note}
|
||||
|
||||
\begin{note}
|
||||
The degree of $Q^m u$ is at most $m-1$.
|
||||
\end{note}
|
||||
|
||||
\begin{note}[xxx]
|
||||
The degree of $Q^m u$ is at most $m-1$.
|
||||
\end{note}
|
||||
|
||||
\begin{note*}
|
||||
The degree of $Q^m u$ is at most $m-1$.
|
||||
\end{note*}
|
||||
|
||||
|
||||
\section{lstlisting}
|
||||
|
||||
\begin{lstlisting}[language=Python,caption={hello world}]
|
||||
def hello():
|
||||
print("Hello, world!")
|
||||
|
||||
hello()
|
||||
\end{lstlisting}
|
||||
|
||||
\begin{lstlisting}[language=Python,caption={hanoi.py}]
|
||||
step = 1
|
||||
|
||||
|
||||
def hanoi(n, a, b, c, depth=0):
|
||||
def move(n, a, c):
|
||||
global step
|
||||
print(" " * depth, end="")
|
||||
print(f"{step=}: move [{n}] from {a} to {c}")
|
||||
step += 1
|
||||
|
||||
if n == 1:
|
||||
move(n, a, c)
|
||||
else:
|
||||
hanoi(n - 1, a, c, b, depth=depth + 1)
|
||||
move(n, a, c)
|
||||
hanoi(n - 1, b, a, c, depth=depth + 1)
|
||||
|
||||
|
||||
if __name__ == "__main__":
|
||||
n = int(input("Hanoi Problem, N = "))
|
||||
hanoi(n, "A", "B", "C")
|
||||
\end{lstlisting}
|
||||
|
||||
\section{algorithm}
|
||||
|
||||
|
||||
\begin{algorithm}[H]
|
||||
\KwIn{This is some input}
|
||||
\KwOut{This is some output}
|
||||
\SetAlgoLined
|
||||
\SetNoFillComment
|
||||
\tcc{This is a comment}
|
||||
\vspace{3mm}
|
||||
some code here\;
|
||||
$x \leftarrow 0$\;
|
||||
$y \leftarrow 0$\;
|
||||
\uIf{$ x > 5$} {
|
||||
x is greater than 5 \tcp*{This is also a comment}
|
||||
}
|
||||
\Else {
|
||||
x is less than or equal to 5\;
|
||||
}
|
||||
\ForEach{y in 0..5} {
|
||||
$y \leftarrow y + 1$\;
|
||||
}
|
||||
\For{$y$ in $0..5$} {
|
||||
$y \leftarrow y - 1$\;
|
||||
}
|
||||
\While{$x > 5$} {
|
||||
$x \leftarrow x - 1$\;
|
||||
}
|
||||
\Return Return something here\;
|
||||
\caption{what}
|
||||
\end{algorithm}
|
||||
|
||||
\section{cbox}
|
||||
|
||||
\begin{cbox}
|
||||
Whenever you feel like criticizing any one, just remember that all the people in this world haven't had the advantages that you've had. (The Great Gatsby)
|
||||
\end{cbox}
|
||||
|
||||
\end{document}
|
||||
@@ -0,0 +1,88 @@
|
||||
\documentclass{article}
|
||||
\input{../note-setup-leftsidebox}
|
||||
|
||||
\title{\LaTeX{} Note Template}
|
||||
\author{}
|
||||
\date{}
|
||||
|
||||
\begin{document}
|
||||
|
||||
\section{Demo}
|
||||
|
||||
\begin{theorem}[xxx]
|
||||
If $1<p<\infty$ and $m > n/p$, or $p=1$ and $m \ge n$, there exist a constant $C = C(m,n,\gamma,p)$, such that
|
||||
\begin{equation*}
|
||||
\Vert R^m u \Vert_{L^\infty(\Omega)} \le C d^{m-n/p} |u|_{W^m_p(\Omega)}
|
||||
\end{equation*}
|
||||
for all $u \in W^m_p(\Omega)$.
|
||||
\end{theorem}
|
||||
\begin{proof}[\upshape\bfseries Proof of xxx]
|
||||
First, we assume that $u \in C^m(\Omega) \cap W^m_p(\Omega)$. We can use the pointwise representation of $R^mu(x)$.
|
||||
\begin{align*}
|
||||
|R^mu(x)| ={} m \left| \sum_{|\alpha| = m} \int_{C_x} k_{\alpha}(x,z) D^\alpha u(z)\,dz \right|
|
||||
\le{} C \sum_{|\alpha|=m} \int_{\Omega} |x-z|^{-n+m} |D^\alpha u(z)|\,dz
|
||||
\le{} C' d^{m-\frac{n}{p}} |u|_{W^m_p(\Omega)}.
|
||||
\end{align*}
|
||||
The proof can be completed via a density argument.
|
||||
\end{proof}
|
||||
|
||||
\begin{proposition}[xxx]
|
||||
\begin{equation*}
|
||||
Q^m u(x) = \sum_{|\lambda| < m} \left( \int_B \psi_\lambda(y) u(y)\,dy \right) x^\lambda
|
||||
\end{equation*}
|
||||
where $\psi_\lambda \in C_0^\infty(\mathbb{R}^n)$ and $\mathrm{supp}(\phi_\lambda) \in \overline{B}$.
|
||||
\end{proposition}
|
||||
|
||||
|
||||
\begin{corollary}[xxx]
|
||||
Under the assumption of xxx, the following inequality holds
|
||||
\begin{equation*}
|
||||
\inf_{v \in P^{m-1}} \Vert u - v \Vert_{W^k_p(\Omega)} \le C_{m,n,\gamma} d^{m-k} |u|_{W^k_p(\Omega)}, \,\, k = 0,1,\dots,m,
|
||||
\end{equation*}
|
||||
\end{corollary}
|
||||
|
||||
\begin{lemma}[xxx]
|
||||
Let $f \in L^p(\Omega)$ for $p \ge 1$ and $m \ge 1$ and let $g(x) = \int_\Omega |x-z|^{-n+m} |f(z)|\,dz$.
|
||||
Then $\Vert g \Vert_{L^p(\Omega)} \le C_{m,n} d^m \Vert f\Vert_{L^p(\Omega)}$.
|
||||
\end{lemma}
|
||||
|
||||
\begin{claim}[xxx]
|
||||
$Q^m u$ is a polynomial of degree less than $m$ in $x$.
|
||||
\end{claim}
|
||||
|
||||
|
||||
\begin{definition}[xxx]
|
||||
$\Omega$ is star-shaped with respect to the ball $B$ if , for all $x \in \Omega$, the closed convex hull of $\{x\} \cup B$ is a subset of $\Omega$.
|
||||
\end{definition}
|
||||
|
||||
|
||||
\begin{example}[xxx]
|
||||
The integral form of the Taylor remainder for $f \in C^m([0,1])$ is given by
|
||||
\begin{equation*}
|
||||
f(s) = \sum_{k=0}^{m-1}\frac{1}{k!} f^{(k)}(0) + \int_0^s \frac{1}{(m-1)!} f^{(m)}(t)(s-t)^{m-1}\,dt.
|
||||
\end{equation*}
|
||||
\end{example}
|
||||
|
||||
|
||||
\begin{problem}[xxx]
|
||||
Calculate the integral of the function $g(x) = 3x^2$ with respect to $x$.
|
||||
\end{problem}
|
||||
\begin{solution}[xxx]
|
||||
To calculate the integral of $g(x) = 3x^2$, we use the power rule for integration:
|
||||
\[
|
||||
\int 3x^2 \, dx = x^3 + C
|
||||
\]
|
||||
where $C$ is the constant of integration.
|
||||
\end{solution}
|
||||
|
||||
|
||||
\begin{remark}[xxx]
|
||||
Such a polynomial is not unique, due to the choice od cut-off function $\phi$.
|
||||
\end{remark}
|
||||
|
||||
|
||||
\begin{note}[xxx]
|
||||
The degree of $Q^m u$ is at most $m-1$.
|
||||
\end{note}
|
||||
|
||||
\end{document}
|
||||
@@ -0,0 +1,15 @@
|
||||
\documentclass{article}
|
||||
\input{./note-setup}
|
||||
|
||||
% \usepackage{biblatex}
|
||||
% \addbibresource{reference.bib}
|
||||
|
||||
\title{Title}
|
||||
\author{Author}
|
||||
\date{\today}
|
||||
|
||||
\begin{document}
|
||||
|
||||
\maketitle
|
||||
|
||||
\end{document}
|
||||
@@ -0,0 +1,160 @@
|
||||
%================================
|
||||
% note-setup-borderless.tex
|
||||
% fenglielie@qq.com 2025-09-12
|
||||
%================================
|
||||
|
||||
\usepackage{amsmath,amsthm,amsfonts,amssymb}
|
||||
\usepackage{mathtools}
|
||||
\usepackage{mathrsfs}
|
||||
\usepackage{bm}
|
||||
\usepackage{extarrows}
|
||||
\usepackage[a4paper, margin=1in]{geometry}
|
||||
\usepackage{float}
|
||||
\usepackage{indentfirst}
|
||||
\usepackage{anyfontsize}
|
||||
\usepackage{booktabs,multirow,multicol}
|
||||
\usepackage[shortlabels,inline]{enumitem}
|
||||
\usepackage{appendix}
|
||||
|
||||
\usepackage[dvipsnames]{xcolor}
|
||||
\usepackage{graphicx}
|
||||
\graphicspath{
|
||||
{./figure/}{./figures/}{./image/}{./images/}{./graphic/}{./graphics/}{./picture/}{./pictures/}
|
||||
}
|
||||
\usepackage{subcaption}
|
||||
|
||||
\usepackage[ruled,linesnumbered,noline]{algorithm2e}
|
||||
\usepackage{listings}
|
||||
\lstdefinestyle{simpleStyle}{
|
||||
basicstyle=\ttfamily\small,
|
||||
breaklines=true,
|
||||
keywordstyle=\color{blue},
|
||||
identifierstyle=\color{black},
|
||||
stringstyle=\color{violet},
|
||||
commentstyle=\color[RGB]{34,139,34},
|
||||
showstringspaces=false,
|
||||
numbers=left,
|
||||
numbersep=2em,
|
||||
numberstyle=\footnotesize,
|
||||
frame=single,
|
||||
framesep=1em,
|
||||
}
|
||||
\lstset{style=simpleStyle}
|
||||
|
||||
\usepackage{hyperref}
|
||||
\hypersetup{
|
||||
colorlinks=true,linkcolor=,urlcolor=cyan
|
||||
}
|
||||
|
||||
\renewcommand*{\proofname}{\normalfont\bfseries Proof}
|
||||
|
||||
\usepackage{thmtools}
|
||||
|
||||
%% define environments
|
||||
|
||||
\declaretheorem[style=plain, name=Theorem, numbered=yes, numberwithin=section]{theorem}
|
||||
\declaretheorem[style=plain, name=Theorem, numbered=no]{theorem*}
|
||||
|
||||
\declaretheorem[style=plain, name=Proposition, numbered=yes, sibling=theorem]{proposition}
|
||||
\declaretheorem[style=plain, name=Proposition, numbered=no]{proposition*}
|
||||
|
||||
\declaretheorem[style=plain, name=Corollary, numbered=yes, sibling=theorem]{corollary}
|
||||
\declaretheorem[style=plain, name=Corollary, numbered=no]{corollary*}
|
||||
|
||||
\declaretheorem[style=plain, name=Lemma, numbered=yes, sibling=theorem]{lemma}
|
||||
\declaretheorem[style=plain, name=Lemma, numbered=no]{lemma*}
|
||||
|
||||
\declaretheorem[style=plain, name=Claim, numbered=yes, sibling=theorem]{claim}
|
||||
\declaretheorem[style=plain, name=Claim, numbered=no]{claim*}
|
||||
|
||||
\declaretheorem[style=definition, name=Definition, numbered=yes, numberwithin=section]{definition}
|
||||
\declaretheorem[style=definition, name=Definition, numbered=no]{definition*}
|
||||
|
||||
\declaretheorem[style=definition, name=Example, numbered=yes, numberwithin=section]{example}
|
||||
\declaretheorem[style=definition, name=Example, numbered=no]{example*}
|
||||
|
||||
\declaretheorem[style=definition, name=Problem, numbered=yes, numberwithin=section]{problem}
|
||||
\declaretheorem[style=definition, name=Problem, numbered=no]{problem*}
|
||||
|
||||
\declaretheorem[style=remark, name=Remark, numbered=yes, numberwithin=section]{remark}
|
||||
\declaretheorem[style=remark, name=Remark, numbered=no]{remark*}
|
||||
|
||||
\declaretheoremstyle[headfont=\color{orange!80}\bfseries, bodyfont=\normalfont, spaceabove=3pt, spacebelow=3pt]{notestyle}
|
||||
|
||||
\declaretheorem[style=notestyle, name=Note, numbered=yes, numberwithin=section]{note}
|
||||
\declaretheorem[style=notestyle, name=Note, numbered=no]{note*}
|
||||
|
||||
\declaretheoremstyle[headfont=\bfseries, bodyfont=\normalfont, spaceabove=3pt, spacebelow=3pt, qed=\ensuremath{\square}]{solutionstyle}
|
||||
|
||||
\declaretheorem[style=solutionstyle, name=Solution, numbered=yes, numberwithin=section]{solution}
|
||||
\declaretheorem[style=solutionstyle, name=Solution, numbered=no]{solution*}
|
||||
|
||||
\usepackage[most]{tcolorbox}
|
||||
|
||||
\newcommand{\newtcbenvironment}[2]{
|
||||
\tcolorboxenvironment{#1}{#2, enhanced, breakable, sharp corners, boxrule=0pt, colframe=white}
|
||||
\tcolorboxenvironment{#1*}{#2, enhanced, breakable, rounded corners, boxrule=0pt, colframe=white}
|
||||
}
|
||||
|
||||
%% define styles
|
||||
|
||||
\newtcbenvironment{theorem}{colframe=RoyalPurple, colback=RoyalPurple!8}
|
||||
\newtcbenvironment{proposition}{colframe=RoyalPurple, colback=RoyalPurple!8}
|
||||
\newtcbenvironment{corollary}{colframe=NavyBlue, colback=SkyBlue!8}
|
||||
\newtcbenvironment{lemma}{colframe=NavyBlue, colback=SkyBlue!8}
|
||||
\newtcbenvironment{claim}{colframe=NavyBlue, colback=SkyBlue!8}
|
||||
|
||||
\newtcbenvironment{definition}{colframe=ForestGreen, colback=ForestGreen!5}
|
||||
\newtcbenvironment{example}{colframe=RawSienna, colback=RawSienna!5}
|
||||
\newtcbenvironment{problem}{colframe=WildStrawberry!30, colback=WildStrawberry!5}
|
||||
|
||||
%% cbox
|
||||
\newtcolorbox{cbox}[1][]{%
|
||||
enhanced,
|
||||
breakable,
|
||||
sharp corners,
|
||||
leftrule=2pt, rightrule=0pt, toprule=0pt, bottomrule=0pt,
|
||||
colframe=SkyBlue,
|
||||
colback=SkyBlue!8,
|
||||
#1
|
||||
}
|
||||
|
||||
%% cover
|
||||
\usepackage{titling}
|
||||
\newcommand{\extrainfo}{}
|
||||
\renewcommand{\extrainfo}[1]{\renewcommand{\extrainfocontent}{#1}}
|
||||
\newcommand{\extrainfocontent}{}
|
||||
\newcommand{\makecover}[1]{%
|
||||
\begin{titlepage}
|
||||
\newgeometry{margin=0in}
|
||||
\parindent=0pt
|
||||
\includegraphics[width=\linewidth]{#1} % size = 1280*1024
|
||||
\vfill
|
||||
\begin{center}
|
||||
\parbox{0.618\textwidth}{%
|
||||
\raggedleft{\bfseries \Huge \thetitle} \\[0.6pt]
|
||||
\rule{0.618\textwidth}{4pt} \\
|
||||
}
|
||||
\end{center}
|
||||
\vfill
|
||||
\begin{center}
|
||||
\parbox{0.618\textwidth}{%
|
||||
\raggedleft\Large
|
||||
\begin{tabular}{r}
|
||||
\theauthor \\
|
||||
\thedate \\
|
||||
\end{tabular}%
|
||||
}
|
||||
\end{center}
|
||||
\vfill
|
||||
\begin{center}
|
||||
\parbox[t]{0.7\textwidth}{\centering \itshape \extrainfocontent}
|
||||
\end{center}
|
||||
\vfill
|
||||
\end{titlepage}
|
||||
\restoregeometry
|
||||
\thispagestyle{empty}
|
||||
}
|
||||
% USAGE
|
||||
% \extrainfo{xxx}
|
||||
% \makecover{/path/to/cover.png}
|
||||
@@ -0,0 +1,160 @@
|
||||
%================================
|
||||
% note-setup-box.tex
|
||||
% fenglielie@qq.com 2025-09-12
|
||||
%================================
|
||||
|
||||
\usepackage{amsmath,amsthm,amsfonts,amssymb}
|
||||
\usepackage{mathtools}
|
||||
\usepackage{mathrsfs}
|
||||
\usepackage{bm}
|
||||
\usepackage{extarrows}
|
||||
\usepackage[a4paper, margin=1in]{geometry}
|
||||
\usepackage{float}
|
||||
\usepackage{indentfirst}
|
||||
\usepackage{anyfontsize}
|
||||
\usepackage{booktabs,multirow,multicol}
|
||||
\usepackage[shortlabels,inline]{enumitem}
|
||||
\usepackage{appendix}
|
||||
|
||||
\usepackage[dvipsnames]{xcolor}
|
||||
\usepackage{graphicx}
|
||||
\graphicspath{
|
||||
{./figure/}{./figures/}{./image/}{./images/}{./graphic/}{./graphics/}{./picture/}{./pictures/}
|
||||
}
|
||||
\usepackage{subcaption}
|
||||
|
||||
\usepackage[ruled,linesnumbered,noline]{algorithm2e}
|
||||
\usepackage{listings}
|
||||
\lstdefinestyle{simpleStyle}{
|
||||
basicstyle=\ttfamily\small,
|
||||
breaklines=true,
|
||||
keywordstyle=\color{blue},
|
||||
identifierstyle=\color{black},
|
||||
stringstyle=\color{violet},
|
||||
commentstyle=\color[RGB]{34,139,34},
|
||||
showstringspaces=false,
|
||||
numbers=left,
|
||||
numbersep=2em,
|
||||
numberstyle=\footnotesize,
|
||||
frame=single,
|
||||
framesep=1em,
|
||||
}
|
||||
\lstset{style=simpleStyle}
|
||||
|
||||
\usepackage{hyperref}
|
||||
\hypersetup{
|
||||
colorlinks=true,linkcolor=,urlcolor=cyan
|
||||
}
|
||||
|
||||
\renewcommand*{\proofname}{\normalfont\bfseries Proof}
|
||||
|
||||
\usepackage{thmtools}
|
||||
|
||||
%% define environments
|
||||
|
||||
\declaretheorem[style=plain, name=Theorem, numbered=yes, numberwithin=section]{theorem}
|
||||
\declaretheorem[style=plain, name=Theorem, numbered=no]{theorem*}
|
||||
|
||||
\declaretheorem[style=plain, name=Proposition, numbered=yes, sibling=theorem]{proposition}
|
||||
\declaretheorem[style=plain, name=Proposition, numbered=no]{proposition*}
|
||||
|
||||
\declaretheorem[style=plain, name=Corollary, numbered=yes, sibling=theorem]{corollary}
|
||||
\declaretheorem[style=plain, name=Corollary, numbered=no]{corollary*}
|
||||
|
||||
\declaretheorem[style=plain, name=Lemma, numbered=yes, sibling=theorem]{lemma}
|
||||
\declaretheorem[style=plain, name=Lemma, numbered=no]{lemma*}
|
||||
|
||||
\declaretheorem[style=plain, name=Claim, numbered=yes, sibling=theorem]{claim}
|
||||
\declaretheorem[style=plain, name=Claim, numbered=no]{claim*}
|
||||
|
||||
\declaretheorem[style=definition, name=Definition, numbered=yes, numberwithin=section]{definition}
|
||||
\declaretheorem[style=definition, name=Definition, numbered=no]{definition*}
|
||||
|
||||
\declaretheorem[style=definition, name=Example, numbered=yes, numberwithin=section]{example}
|
||||
\declaretheorem[style=definition, name=Example, numbered=no]{example*}
|
||||
|
||||
\declaretheorem[style=definition, name=Problem, numbered=yes, numberwithin=section]{problem}
|
||||
\declaretheorem[style=definition, name=Problem, numbered=no]{problem*}
|
||||
|
||||
\declaretheorem[style=remark, name=Remark, numbered=yes, numberwithin=section]{remark}
|
||||
\declaretheorem[style=remark, name=Remark, numbered=no]{remark*}
|
||||
|
||||
\declaretheoremstyle[headfont=\color{orange!80}\bfseries, bodyfont=\normalfont, spaceabove=3pt, spacebelow=3pt]{notestyle}
|
||||
|
||||
\declaretheorem[style=notestyle, name=Note, numbered=yes, numberwithin=section]{note}
|
||||
\declaretheorem[style=notestyle, name=Note, numbered=no]{note*}
|
||||
|
||||
\declaretheoremstyle[headfont=\bfseries, bodyfont=\normalfont, spaceabove=3pt, spacebelow=3pt, qed=\ensuremath{\square}]{solutionstyle}
|
||||
|
||||
\declaretheorem[style=solutionstyle, name=Solution, numbered=yes, numberwithin=section]{solution}
|
||||
\declaretheorem[style=solutionstyle, name=Solution, numbered=no]{solution*}
|
||||
|
||||
\usepackage[most]{tcolorbox}
|
||||
|
||||
\newcommand{\newtcbenvironment}[2]{
|
||||
\tcolorboxenvironment{#1}{#2, enhanced, breakable, sharp corners, boxrule=1pt}
|
||||
\tcolorboxenvironment{#1*}{#2, enhanced, breakable, rounded corners, boxrule=1pt}
|
||||
}
|
||||
|
||||
%% define styles
|
||||
|
||||
\newtcbenvironment{theorem}{colframe=RoyalPurple, colback=RoyalPurple!8}
|
||||
\newtcbenvironment{proposition}{colframe=RoyalPurple, colback=RoyalPurple!8}
|
||||
\newtcbenvironment{corollary}{colframe=NavyBlue, colback=SkyBlue!8}
|
||||
\newtcbenvironment{lemma}{colframe=NavyBlue, colback=SkyBlue!8}
|
||||
\newtcbenvironment{claim}{colframe=NavyBlue, colback=SkyBlue!8}
|
||||
|
||||
\newtcbenvironment{definition}{colframe=ForestGreen, colback=ForestGreen!5}
|
||||
\newtcbenvironment{example}{colframe=RawSienna, colback=RawSienna!5}
|
||||
\newtcbenvironment{problem}{colframe=WildStrawberry!30, colback=WildStrawberry!5}
|
||||
|
||||
%% cbox
|
||||
\newtcolorbox{cbox}[1][]{%
|
||||
enhanced,
|
||||
breakable,
|
||||
sharp corners,
|
||||
leftrule=2pt, rightrule=0pt, toprule=0pt, bottomrule=0pt,
|
||||
colframe=SkyBlue,
|
||||
colback=SkyBlue!8,
|
||||
#1
|
||||
}
|
||||
|
||||
%% cover
|
||||
\usepackage{titling}
|
||||
\newcommand{\extrainfo}{}
|
||||
\renewcommand{\extrainfo}[1]{\renewcommand{\extrainfocontent}{#1}}
|
||||
\newcommand{\extrainfocontent}{}
|
||||
\newcommand{\makecover}[1]{%
|
||||
\begin{titlepage}
|
||||
\newgeometry{margin=0in}
|
||||
\parindent=0pt
|
||||
\includegraphics[width=\linewidth]{#1} % size = 1280*1024
|
||||
\vfill
|
||||
\begin{center}
|
||||
\parbox{0.618\textwidth}{%
|
||||
\raggedleft{\bfseries \Huge \thetitle} \\[0.6pt]
|
||||
\rule{0.618\textwidth}{4pt} \\
|
||||
}
|
||||
\end{center}
|
||||
\vfill
|
||||
\begin{center}
|
||||
\parbox{0.618\textwidth}{%
|
||||
\raggedleft\Large
|
||||
\begin{tabular}{r}
|
||||
\theauthor \\
|
||||
\thedate \\
|
||||
\end{tabular}%
|
||||
}
|
||||
\end{center}
|
||||
\vfill
|
||||
\begin{center}
|
||||
\parbox[t]{0.7\textwidth}{\centering \itshape \extrainfocontent}
|
||||
\end{center}
|
||||
\vfill
|
||||
\end{titlepage}
|
||||
\restoregeometry
|
||||
\thispagestyle{empty}
|
||||
}
|
||||
% USAGE
|
||||
% \extrainfo{xxx}
|
||||
% \makecover{/path/to/cover.png}
|
||||
@@ -0,0 +1,160 @@
|
||||
%================================
|
||||
% note-setup-leftsidebox.tex
|
||||
% fenglielie@qq.com 2025-09-12
|
||||
%================================
|
||||
|
||||
\usepackage{amsmath,amsthm,amsfonts,amssymb}
|
||||
\usepackage{mathtools}
|
||||
\usepackage{mathrsfs}
|
||||
\usepackage{bm}
|
||||
\usepackage{extarrows}
|
||||
\usepackage[a4paper, margin=1in]{geometry}
|
||||
\usepackage{float}
|
||||
\usepackage{indentfirst}
|
||||
\usepackage{anyfontsize}
|
||||
\usepackage{booktabs,multirow,multicol}
|
||||
\usepackage[shortlabels,inline]{enumitem}
|
||||
\usepackage{appendix}
|
||||
|
||||
\usepackage[dvipsnames]{xcolor}
|
||||
\usepackage{graphicx}
|
||||
\graphicspath{
|
||||
{./figure/}{./figures/}{./image/}{./images/}{./graphic/}{./graphics/}{./picture/}{./pictures/}
|
||||
}
|
||||
\usepackage{subcaption}
|
||||
|
||||
\usepackage[ruled,linesnumbered,noline]{algorithm2e}
|
||||
\usepackage{listings}
|
||||
\lstdefinestyle{simpleStyle}{
|
||||
basicstyle=\ttfamily\small,
|
||||
breaklines=true,
|
||||
keywordstyle=\color{blue},
|
||||
identifierstyle=\color{black},
|
||||
stringstyle=\color{violet},
|
||||
commentstyle=\color[RGB]{34,139,34},
|
||||
showstringspaces=false,
|
||||
numbers=left,
|
||||
numbersep=2em,
|
||||
numberstyle=\footnotesize,
|
||||
frame=single,
|
||||
framesep=1em,
|
||||
}
|
||||
\lstset{style=simpleStyle}
|
||||
|
||||
\usepackage{hyperref}
|
||||
\hypersetup{
|
||||
colorlinks=true,linkcolor=,urlcolor=cyan
|
||||
}
|
||||
|
||||
\renewcommand*{\proofname}{\normalfont\bfseries Proof}
|
||||
|
||||
\usepackage{thmtools}
|
||||
|
||||
%% define environments
|
||||
|
||||
\declaretheorem[style=plain, name=Theorem, numbered=yes, numberwithin=section]{theorem}
|
||||
\declaretheorem[style=plain, name=Theorem, numbered=no]{theorem*}
|
||||
|
||||
\declaretheorem[style=plain, name=Proposition, numbered=yes, sibling=theorem]{proposition}
|
||||
\declaretheorem[style=plain, name=Proposition, numbered=no]{proposition*}
|
||||
|
||||
\declaretheorem[style=plain, name=Corollary, numbered=yes, sibling=theorem]{corollary}
|
||||
\declaretheorem[style=plain, name=Corollary, numbered=no]{corollary*}
|
||||
|
||||
\declaretheorem[style=plain, name=Lemma, numbered=yes, sibling=theorem]{lemma}
|
||||
\declaretheorem[style=plain, name=Lemma, numbered=no]{lemma*}
|
||||
|
||||
\declaretheorem[style=plain, name=Claim, numbered=yes, sibling=theorem]{claim}
|
||||
\declaretheorem[style=plain, name=Claim, numbered=no]{claim*}
|
||||
|
||||
\declaretheorem[style=definition, name=Definition, numbered=yes, numberwithin=section]{definition}
|
||||
\declaretheorem[style=definition, name=Definition, numbered=no]{definition*}
|
||||
|
||||
\declaretheorem[style=definition, name=Example, numbered=yes, numberwithin=section]{example}
|
||||
\declaretheorem[style=definition, name=Example, numbered=no]{example*}
|
||||
|
||||
\declaretheorem[style=definition, name=Problem, numbered=yes, numberwithin=section]{problem}
|
||||
\declaretheorem[style=definition, name=Problem, numbered=no]{problem*}
|
||||
|
||||
\declaretheorem[style=remark, name=Remark, numbered=yes, numberwithin=section]{remark}
|
||||
\declaretheorem[style=remark, name=Remark, numbered=no]{remark*}
|
||||
|
||||
\declaretheoremstyle[headfont=\color{orange!80}\bfseries, bodyfont=\normalfont, spaceabove=3pt, spacebelow=3pt]{notestyle}
|
||||
|
||||
\declaretheorem[style=notestyle, name=Note, numbered=yes, numberwithin=section]{note}
|
||||
\declaretheorem[style=notestyle, name=Note, numbered=no]{note*}
|
||||
|
||||
\declaretheoremstyle[headfont=\bfseries, bodyfont=\normalfont, spaceabove=3pt, spacebelow=3pt, qed=\ensuremath{\square}]{solutionstyle}
|
||||
|
||||
\declaretheorem[style=solutionstyle, name=Solution, numbered=yes, numberwithin=section]{solution}
|
||||
\declaretheorem[style=solutionstyle, name=Solution, numbered=no]{solution*}
|
||||
|
||||
\usepackage[most]{tcolorbox}
|
||||
|
||||
\newcommand{\newtcbenvironment}[2]{
|
||||
\tcolorboxenvironment{#1}{#2, enhanced, breakable, sharp corners,leftrule=2pt, rightrule=0pt, toprule=0pt, bottomrule=0pt}
|
||||
\tcolorboxenvironment{#1*}{#2, enhanced, breakable, rounded corners,leftrule=2pt, rightrule=0pt, toprule=0pt, bottomrule=0pt}
|
||||
}
|
||||
|
||||
%% define styles
|
||||
|
||||
\newtcbenvironment{theorem}{colframe=RoyalPurple, colback=RoyalPurple!8}
|
||||
\newtcbenvironment{proposition}{colframe=RoyalPurple, colback=RoyalPurple!8}
|
||||
\newtcbenvironment{corollary}{colframe=NavyBlue, colback=SkyBlue!8}
|
||||
\newtcbenvironment{lemma}{colframe=NavyBlue, colback=SkyBlue!8}
|
||||
\newtcbenvironment{claim}{colframe=NavyBlue, colback=SkyBlue!8}
|
||||
|
||||
\newtcbenvironment{definition}{colframe=ForestGreen, colback=ForestGreen!5}
|
||||
\newtcbenvironment{example}{colframe=RawSienna, colback=RawSienna!5}
|
||||
\newtcbenvironment{problem}{colframe=WildStrawberry!30, colback=WildStrawberry!5}
|
||||
|
||||
%% cbox
|
||||
\newtcolorbox{cbox}[1][]{%
|
||||
enhanced,
|
||||
breakable,
|
||||
sharp corners,
|
||||
leftrule=2pt, rightrule=0pt, toprule=0pt, bottomrule=0pt,
|
||||
colframe=SkyBlue,
|
||||
colback=SkyBlue!8,
|
||||
#1
|
||||
}
|
||||
|
||||
%% cover
|
||||
\usepackage{titling}
|
||||
\newcommand{\extrainfo}{}
|
||||
\renewcommand{\extrainfo}[1]{\renewcommand{\extrainfocontent}{#1}}
|
||||
\newcommand{\extrainfocontent}{}
|
||||
\newcommand{\makecover}[1]{%
|
||||
\begin{titlepage}
|
||||
\newgeometry{margin=0in}
|
||||
\parindent=0pt
|
||||
\includegraphics[width=\linewidth]{#1} % size = 1280*1024
|
||||
\vfill
|
||||
\begin{center}
|
||||
\parbox{0.618\textwidth}{%
|
||||
\raggedleft{\bfseries \Huge \thetitle} \\[0.6pt]
|
||||
\rule{0.618\textwidth}{4pt} \\
|
||||
}
|
||||
\end{center}
|
||||
\vfill
|
||||
\begin{center}
|
||||
\parbox{0.618\textwidth}{%
|
||||
\raggedleft\Large
|
||||
\begin{tabular}{r}
|
||||
\theauthor \\
|
||||
\thedate \\
|
||||
\end{tabular}%
|
||||
}
|
||||
\end{center}
|
||||
\vfill
|
||||
\begin{center}
|
||||
\parbox[t]{0.7\textwidth}{\centering \itshape \extrainfocontent}
|
||||
\end{center}
|
||||
\vfill
|
||||
\end{titlepage}
|
||||
\restoregeometry
|
||||
\thispagestyle{empty}
|
||||
}
|
||||
% USAGE
|
||||
% \extrainfo{xxx}
|
||||
% \makecover{/path/to/cover.png}
|
||||
@@ -0,0 +1,157 @@
|
||||
%================================
|
||||
% note-setup-mdframed.tex
|
||||
% fenglielie@qq.com 2025-10-22
|
||||
%================================
|
||||
|
||||
\usepackage{amsmath,amsthm,amsfonts,amssymb}
|
||||
\usepackage{mathtools}
|
||||
\usepackage{mathrsfs}
|
||||
\usepackage{bm}
|
||||
\usepackage{extarrows}
|
||||
\usepackage[a4paper, margin=1in]{geometry}
|
||||
\usepackage{float}
|
||||
\usepackage{indentfirst}
|
||||
\usepackage{anyfontsize}
|
||||
\usepackage{booktabs,multirow,multicol}
|
||||
\usepackage[shortlabels,inline]{enumitem}
|
||||
\usepackage{appendix}
|
||||
|
||||
\usepackage[dvipsnames]{xcolor}
|
||||
\usepackage{graphicx}
|
||||
\graphicspath{
|
||||
{./figure/}{./figures/}{./image/}{./images/}{./graphic/}{./graphics/}{./picture/}{./pictures/}
|
||||
}
|
||||
\usepackage{subcaption}
|
||||
|
||||
\usepackage[ruled,linesnumbered,noline]{algorithm2e}
|
||||
\usepackage{listings}
|
||||
\lstdefinestyle{simpleStyle}{
|
||||
basicstyle=\ttfamily\small,
|
||||
breaklines=true,
|
||||
keywordstyle=\color{blue},
|
||||
identifierstyle=\color{black},
|
||||
stringstyle=\color{violet},
|
||||
commentstyle=\color[RGB]{34,139,34},
|
||||
showstringspaces=false,
|
||||
numbers=left,
|
||||
numbersep=2em,
|
||||
numberstyle=\footnotesize,
|
||||
frame=single,
|
||||
framesep=1em,
|
||||
}
|
||||
\lstset{style=simpleStyle}
|
||||
|
||||
\usepackage{hyperref}
|
||||
\hypersetup{
|
||||
colorlinks=true,linkcolor=,urlcolor=cyan
|
||||
}
|
||||
|
||||
\renewcommand*{\proofname}{\normalfont\bfseries Proof}
|
||||
|
||||
\usepackage{thmtools}
|
||||
\usepackage[framemethod=TikZ]{mdframed}
|
||||
\mdfsetup{skipabove=0.5em,skipbelow=0.5em}
|
||||
|
||||
\newcommand{\mydeclaretheoremstyle}[3]{
|
||||
\declaretheoremstyle[headfont=\bfseries\sffamily#2, bodyfont=\normalfont, mdframed={#3}]{#1}
|
||||
}
|
||||
|
||||
\mydeclaretheoremstyle{purplehalfbox}{\color{RoyalPurple!70!black}}{linewidth=2pt, rightline=false, topline=false, bottomline=false, linecolor=RoyalPurple, backgroundcolor=RoyalPurple!8}
|
||||
\mydeclaretheoremstyle{bluehalfbox}{\color{SkyBlue!70!black}}{linewidth=2pt, rightline=false, topline=false, bottomline=false, linecolor=NavyBlue, backgroundcolor=SkyBlue!8}
|
||||
|
||||
\mydeclaretheoremstyle{greenfullbox}{\color{ForestGreen!40!black}}{linewidth=1pt, linecolor=ForestGreen, backgroundcolor=ForestGreen!5}
|
||||
\mydeclaretheoremstyle{redfullbox}{\color{RawSienna!70!black}}{linewidth=1pt, linecolor=RawSienna, backgroundcolor=RawSienna!5}
|
||||
|
||||
\mydeclaretheoremstyle{pinkemptybox}{\color{WildStrawberry!70!black}}{linewidth=0pt, linecolor=WildStrawberry, backgroundcolor=WildStrawberry!5}
|
||||
\mydeclaretheoremstyle{brownemptybox}{\color{brown!70!black}}{leftline=false, rightline=false, topline=false, bottomline=false, skipabove=0em, skipbelow=0em}
|
||||
\mydeclaretheoremstyle{greenemptybox}{\color{ForestGreen!40!black}}{leftline=false, rightline=false, topline=false, bottomline=false, skipabove=0em, skipbelow=0em}
|
||||
|
||||
\declaretheorem[style=purplehalfbox, name=Theorem, numbered=yes, numberwithin=section]{theorem}
|
||||
\declaretheorem[style=purplehalfbox, name=Theorem, numbered=no]{theorem*}
|
||||
|
||||
\declaretheorem[style=purplehalfbox, name=Proposition, numbered=yes, sibling=theorem]{proposition}
|
||||
\declaretheorem[style=purplehalfbox, name=Proposition, numbered=no]{proposition*}
|
||||
|
||||
\declaretheorem[style=bluehalfbox, name=Corollary, numbered=yes, sibling=theorem]{corollary}
|
||||
\declaretheorem[style=bluehalfbox, name=Corollary, numbered=no]{corollary*}
|
||||
|
||||
\declaretheorem[style=bluehalfbox, name=Lemma, numbered=yes, sibling=theorem]{lemma}
|
||||
\declaretheorem[style=bluehalfbox, name=Lemma, numbered=no]{lemma*}
|
||||
|
||||
\declaretheorem[style=bluehalfbox, name=Claim, numbered=yes, sibling=theorem]{claim}
|
||||
\declaretheorem[style=bluehalfbox, name=Claim, numbered=no]{claim*}
|
||||
|
||||
\declaretheorem[style=greenfullbox, name=Definition, numbered=yes, numberwithin=section]{definition}
|
||||
\declaretheorem[style=greenfullbox, name=Definition, numbered=no]{definition*}
|
||||
|
||||
\declaretheorem[style=redfullbox, name=Example, numbered=yes, numberwithin=section]{example}
|
||||
\declaretheorem[style=redfullbox, name=Example, numbered=no]{example*}
|
||||
|
||||
\declaretheorem[style=pinkemptybox, name=Problem, numbered=yes, numberwithin=section]{problem}
|
||||
\declaretheorem[style=pinkemptybox, name=Problem, numbered=no]{problem*}
|
||||
|
||||
\declaretheorem[style=brownemptybox, name=Remark, numbered=yes, numberwithin=section]{remark}
|
||||
\declaretheorem[style=brownemptybox, name=Remark, numbered=no]{remark*}
|
||||
|
||||
\declaretheoremstyle[headfont=\color{orange!80}\bfseries, bodyfont=\normalfont, spaceabove=3pt, spacebelow=3pt]{notestyle}
|
||||
|
||||
\declaretheorem[style=notestyle, name=Note, numbered=yes, numberwithin=section]{note}
|
||||
\declaretheorem[style=notestyle, name=Note, numbered=no]{note*}
|
||||
|
||||
\declaretheoremstyle[headfont=\bfseries, bodyfont=\normalfont, spaceabove=3pt, spacebelow=3pt, qed=\ensuremath{\square}]{solutionstyle}
|
||||
|
||||
\declaretheorem[style=solutionstyle, name=Solution, numbered=yes, numberwithin=section]{solution}
|
||||
\declaretheorem[style=solutionstyle, name=Solution, numbered=no]{solution*}
|
||||
|
||||
%% cbox
|
||||
\newmdenv[
|
||||
linecolor=SkyBlue,
|
||||
backgroundcolor=SkyBlue!8,
|
||||
leftline=true,
|
||||
rightline=false,
|
||||
topline=false,
|
||||
bottomline=false,
|
||||
linewidth=2pt,
|
||||
roundcorner=0pt, % sharp corners
|
||||
frametitlebackgroundcolor=SkyBlue!20,
|
||||
]{cbox}
|
||||
|
||||
%% cover
|
||||
\usepackage{titling}
|
||||
\newcommand{\extrainfo}{}
|
||||
\renewcommand{\extrainfo}[1]{\renewcommand{\extrainfocontent}{#1}}
|
||||
\newcommand{\extrainfocontent}{}
|
||||
\newcommand{\makecover}[1]{%
|
||||
\begin{titlepage}
|
||||
\newgeometry{margin=0in}
|
||||
\parindent=0pt
|
||||
\includegraphics[width=\linewidth]{#1} % size = 1280*1024
|
||||
\vfill
|
||||
\begin{center}
|
||||
\parbox{0.618\textwidth}{%
|
||||
\raggedleft{\bfseries \Huge \thetitle} \\[0.6pt]
|
||||
\rule{0.618\textwidth}{4pt} \\
|
||||
}
|
||||
\end{center}
|
||||
\vfill
|
||||
\begin{center}
|
||||
\parbox{0.618\textwidth}{%
|
||||
\raggedleft\Large
|
||||
\begin{tabular}{r}
|
||||
\theauthor \\
|
||||
\thedate \\
|
||||
\end{tabular}%
|
||||
}
|
||||
\end{center}
|
||||
\vfill
|
||||
\begin{center}
|
||||
\parbox[t]{0.7\textwidth}{\centering \itshape \extrainfocontent}
|
||||
\end{center}
|
||||
\vfill
|
||||
\end{titlepage}
|
||||
\restoregeometry
|
||||
\thispagestyle{empty}
|
||||
}
|
||||
% USAGE
|
||||
% \extrainfo{xxx}
|
||||
% \makecover{/path/to/cover.png}
|
||||
@@ -0,0 +1,132 @@
|
||||
%================================
|
||||
% note-setup-simple.tex
|
||||
% fenglielie@qq.com 2025-10-22
|
||||
%================================
|
||||
|
||||
\usepackage{amsmath,amsthm,amsfonts,amssymb}
|
||||
\usepackage{mathtools}
|
||||
\usepackage{mathrsfs}
|
||||
\usepackage{bm}
|
||||
\usepackage{extarrows}
|
||||
\usepackage[a4paper, margin=1in]{geometry}
|
||||
\usepackage{float}
|
||||
\usepackage{indentfirst}
|
||||
\usepackage{anyfontsize}
|
||||
\usepackage{booktabs,multirow,multicol}
|
||||
\usepackage[shortlabels,inline]{enumitem}
|
||||
\usepackage{appendix}
|
||||
|
||||
\usepackage[dvipsnames]{xcolor}
|
||||
\usepackage{graphicx}
|
||||
\graphicspath{
|
||||
{./figure/}{./figures/}{./image/}{./images/}{./graphic/}{./graphics/}{./picture/}{./pictures/}
|
||||
}
|
||||
\usepackage{subcaption}
|
||||
|
||||
\usepackage[ruled,linesnumbered,noline]{algorithm2e}
|
||||
\usepackage{listings}
|
||||
\lstdefinestyle{simpleStyle}{
|
||||
basicstyle=\ttfamily\small,
|
||||
breaklines=true,
|
||||
keywordstyle=\color{blue},
|
||||
identifierstyle=\color{black},
|
||||
stringstyle=\color{violet},
|
||||
commentstyle=\color[RGB]{34,139,34},
|
||||
showstringspaces=false,
|
||||
numbers=left,
|
||||
numbersep=2em,
|
||||
numberstyle=\footnotesize,
|
||||
frame=single,
|
||||
framesep=1em,
|
||||
}
|
||||
\lstset{style=simpleStyle}
|
||||
|
||||
\usepackage{hyperref}
|
||||
\hypersetup{
|
||||
colorlinks=true,linkcolor=,urlcolor=cyan
|
||||
}
|
||||
|
||||
\renewcommand*{\proofname}{\normalfont\bfseries Proof}
|
||||
|
||||
\usepackage{thmtools}
|
||||
|
||||
%% define environments
|
||||
|
||||
\declaretheorem[style=plain, name=Theorem, numbered=yes, numberwithin=section]{theorem}
|
||||
\declaretheorem[style=plain, name=Theorem, numbered=no]{theorem*}
|
||||
|
||||
\declaretheorem[style=plain, name=Proposition, numbered=yes, sibling=theorem]{proposition}
|
||||
\declaretheorem[style=plain, name=Proposition, numbered=no]{proposition*}
|
||||
|
||||
\declaretheorem[style=plain, name=Corollary, numbered=yes, sibling=theorem]{corollary}
|
||||
\declaretheorem[style=plain, name=Corollary, numbered=no]{corollary*}
|
||||
|
||||
\declaretheorem[style=plain, name=Lemma, numbered=yes, sibling=theorem]{lemma}
|
||||
\declaretheorem[style=plain, name=Lemma, numbered=no]{lemma*}
|
||||
|
||||
\declaretheorem[style=plain, name=Claim, numbered=yes, sibling=theorem]{claim}
|
||||
\declaretheorem[style=plain, name=Claim, numbered=no]{claim*}
|
||||
|
||||
\declaretheorem[style=definition, name=Definition, numbered=yes, numberwithin=section]{definition}
|
||||
\declaretheorem[style=definition, name=Definition, numbered=no]{definition*}
|
||||
|
||||
\declaretheorem[style=definition, name=Example, numbered=yes, numberwithin=section]{example}
|
||||
\declaretheorem[style=definition, name=Example, numbered=no]{example*}
|
||||
|
||||
\declaretheorem[style=definition, name=Problem, numbered=yes, numberwithin=section]{problem}
|
||||
\declaretheorem[style=definition, name=Problem, numbered=no]{problem*}
|
||||
|
||||
\declaretheorem[style=remark, name=Remark, numbered=yes, numberwithin=section]{remark}
|
||||
\declaretheorem[style=remark, name=Remark, numbered=no]{remark*}
|
||||
|
||||
\declaretheoremstyle[headfont=\color{orange!80}\bfseries, bodyfont=\normalfont, spaceabove=3pt, spacebelow=3pt]{notestyle}
|
||||
|
||||
\declaretheorem[style=notestyle, name=Note, numbered=yes, numberwithin=section]{note}
|
||||
\declaretheorem[style=notestyle, name=Note, numbered=no]{note*}
|
||||
|
||||
\declaretheoremstyle[headfont=\bfseries, bodyfont=\normalfont, spaceabove=3pt, spacebelow=3pt, qed=\ensuremath{\square}]{solutionstyle}
|
||||
|
||||
\declaretheorem[style=solutionstyle, name=Solution, numbered=yes, numberwithin=section]{solution}
|
||||
\declaretheorem[style=solutionstyle, name=Solution, numbered=no]{solution*}
|
||||
|
||||
\newenvironment{cbox}{\begin{quote}}{\end{quote}}
|
||||
|
||||
%% cover
|
||||
\usepackage{titling}
|
||||
\newcommand{\extrainfo}{}
|
||||
\renewcommand{\extrainfo}[1]{\renewcommand{\extrainfocontent}{#1}}
|
||||
\newcommand{\extrainfocontent}{}
|
||||
\newcommand{\makecover}[1]{%
|
||||
\begin{titlepage}
|
||||
\newgeometry{margin=0in}
|
||||
\parindent=0pt
|
||||
\includegraphics[width=\linewidth]{#1} % size = 1280*1024
|
||||
\vfill
|
||||
\begin{center}
|
||||
\parbox{0.618\textwidth}{%
|
||||
\raggedleft{\bfseries \Huge \thetitle} \\[0.6pt]
|
||||
\rule{0.618\textwidth}{4pt} \\
|
||||
}
|
||||
\end{center}
|
||||
\vfill
|
||||
\begin{center}
|
||||
\parbox{0.618\textwidth}{%
|
||||
\raggedleft\Large
|
||||
\begin{tabular}{r}
|
||||
\theauthor \\
|
||||
\thedate \\
|
||||
\end{tabular}%
|
||||
}
|
||||
\end{center}
|
||||
\vfill
|
||||
\begin{center}
|
||||
\parbox[t]{0.7\textwidth}{\centering \itshape \extrainfocontent}
|
||||
\end{center}
|
||||
\vfill
|
||||
\end{titlepage}
|
||||
\restoregeometry
|
||||
\thispagestyle{empty}
|
||||
}
|
||||
% USAGE
|
||||
% \extrainfo{xxx}
|
||||
% \makecover{/path/to/cover.png}
|
||||
@@ -0,0 +1,160 @@
|
||||
%================================
|
||||
% note-setup.tex
|
||||
% fenglielie@qq.com 2025-09-12
|
||||
%================================
|
||||
|
||||
\usepackage{amsmath,amsthm,amsfonts,amssymb}
|
||||
\usepackage{mathtools}
|
||||
\usepackage{mathrsfs}
|
||||
\usepackage{bm}
|
||||
\usepackage{extarrows}
|
||||
\usepackage[a4paper, margin=1in]{geometry}
|
||||
\usepackage{float}
|
||||
\usepackage{indentfirst}
|
||||
\usepackage{anyfontsize}
|
||||
\usepackage{booktabs,multirow,multicol}
|
||||
\usepackage[shortlabels,inline]{enumitem}
|
||||
\usepackage{appendix}
|
||||
|
||||
\usepackage[dvipsnames]{xcolor}
|
||||
\usepackage{graphicx}
|
||||
\graphicspath{
|
||||
{./figure/}{./figures/}{./image/}{./images/}{./graphic/}{./graphics/}{./picture/}{./pictures/}
|
||||
}
|
||||
\usepackage{subcaption}
|
||||
|
||||
\usepackage[ruled,linesnumbered,noline]{algorithm2e}
|
||||
\usepackage{listings}
|
||||
\lstdefinestyle{simpleStyle}{
|
||||
basicstyle=\ttfamily\small,
|
||||
breaklines=true,
|
||||
keywordstyle=\color{blue},
|
||||
identifierstyle=\color{black},
|
||||
stringstyle=\color{violet},
|
||||
commentstyle=\color[RGB]{34,139,34},
|
||||
showstringspaces=false,
|
||||
numbers=left,
|
||||
numbersep=2em,
|
||||
numberstyle=\footnotesize,
|
||||
frame=single,
|
||||
framesep=1em,
|
||||
}
|
||||
\lstset{style=simpleStyle}
|
||||
|
||||
\usepackage{hyperref}
|
||||
\hypersetup{
|
||||
colorlinks=true,linkcolor=,urlcolor=cyan
|
||||
}
|
||||
|
||||
\renewcommand*{\proofname}{\normalfont\bfseries Proof}
|
||||
|
||||
\usepackage{thmtools}
|
||||
|
||||
%% define environments
|
||||
|
||||
\declaretheorem[style=plain, name=Theorem, numbered=yes, numberwithin=section]{theorem}
|
||||
\declaretheorem[style=plain, name=Theorem, numbered=no]{theorem*}
|
||||
|
||||
\declaretheorem[style=plain, name=Proposition, numbered=yes, sibling=theorem]{proposition}
|
||||
\declaretheorem[style=plain, name=Proposition, numbered=no]{proposition*}
|
||||
|
||||
\declaretheorem[style=plain, name=Corollary, numbered=yes, sibling=theorem]{corollary}
|
||||
\declaretheorem[style=plain, name=Corollary, numbered=no]{corollary*}
|
||||
|
||||
\declaretheorem[style=plain, name=Lemma, numbered=yes, sibling=theorem]{lemma}
|
||||
\declaretheorem[style=plain, name=Lemma, numbered=no]{lemma*}
|
||||
|
||||
\declaretheorem[style=plain, name=Claim, numbered=yes, sibling=theorem]{claim}
|
||||
\declaretheorem[style=plain, name=Claim, numbered=no]{claim*}
|
||||
|
||||
\declaretheorem[style=definition, name=Definition, numbered=yes, numberwithin=section]{definition}
|
||||
\declaretheorem[style=definition, name=Definition, numbered=no]{definition*}
|
||||
|
||||
\declaretheorem[style=definition, name=Example, numbered=yes, numberwithin=section]{example}
|
||||
\declaretheorem[style=definition, name=Example, numbered=no]{example*}
|
||||
|
||||
\declaretheorem[style=definition, name=Problem, numbered=yes, numberwithin=section]{problem}
|
||||
\declaretheorem[style=definition, name=Problem, numbered=no]{problem*}
|
||||
|
||||
\declaretheorem[style=remark, name=Remark, numbered=yes, numberwithin=section]{remark}
|
||||
\declaretheorem[style=remark, name=Remark, numbered=no]{remark*}
|
||||
|
||||
\declaretheoremstyle[headfont=\color{orange!80}\bfseries, bodyfont=\normalfont, spaceabove=3pt, spacebelow=3pt]{notestyle}
|
||||
|
||||
\declaretheorem[style=notestyle, name=Note, numbered=yes, numberwithin=section]{note}
|
||||
\declaretheorem[style=notestyle, name=Note, numbered=no]{note*}
|
||||
|
||||
\declaretheoremstyle[headfont=\bfseries, bodyfont=\normalfont, spaceabove=3pt, spacebelow=3pt, qed=\ensuremath{\square}]{solutionstyle}
|
||||
|
||||
\declaretheorem[style=solutionstyle, name=Solution, numbered=yes, numberwithin=section]{solution}
|
||||
\declaretheorem[style=solutionstyle, name=Solution, numbered=no]{solution*}
|
||||
|
||||
\usepackage[most]{tcolorbox}
|
||||
|
||||
\newcommand{\newtcbenvironment}[2]{
|
||||
\tcolorboxenvironment{#1}{#2, enhanced, breakable, sharp corners, boxrule=1pt}
|
||||
\tcolorboxenvironment{#1*}{#2, enhanced, breakable, rounded corners, boxrule=1pt}
|
||||
}
|
||||
|
||||
%% define styles
|
||||
|
||||
\newtcbenvironment{theorem}{colframe=RoyalPurple, colback=RoyalPurple!8}
|
||||
\newtcbenvironment{proposition}{colframe=RoyalPurple, colback=RoyalPurple!8}
|
||||
\newtcbenvironment{corollary}{colframe=NavyBlue, colback=SkyBlue!8}
|
||||
\newtcbenvironment{lemma}{colframe=NavyBlue, colback=SkyBlue!8}
|
||||
\newtcbenvironment{claim}{colframe=NavyBlue, colback=SkyBlue!8}
|
||||
|
||||
\newtcbenvironment{definition}{colframe=ForestGreen, colback=ForestGreen!5}
|
||||
\newtcbenvironment{example}{colframe=RawSienna, colback=RawSienna!5}
|
||||
\newtcbenvironment{problem}{colframe=WildStrawberry!30, colback=WildStrawberry!5}
|
||||
|
||||
%% cbox
|
||||
\newtcolorbox{cbox}[1][]{%
|
||||
enhanced,
|
||||
breakable,
|
||||
sharp corners,
|
||||
leftrule=2pt, rightrule=0pt, toprule=0pt, bottomrule=0pt,
|
||||
colframe=SkyBlue,
|
||||
colback=SkyBlue!8,
|
||||
#1
|
||||
}
|
||||
|
||||
%% cover
|
||||
\usepackage{titling}
|
||||
\newcommand{\extrainfo}{}
|
||||
\renewcommand{\extrainfo}[1]{\renewcommand{\extrainfocontent}{#1}}
|
||||
\newcommand{\extrainfocontent}{}
|
||||
\newcommand{\makecover}[1]{%
|
||||
\begin{titlepage}
|
||||
\newgeometry{margin=0in}
|
||||
\parindent=0pt
|
||||
\includegraphics[width=\linewidth]{#1} % size = 1280*1024
|
||||
\vfill
|
||||
\begin{center}
|
||||
\parbox{0.618\textwidth}{%
|
||||
\raggedleft{\bfseries \Huge \thetitle} \\[0.6pt]
|
||||
\rule{0.618\textwidth}{4pt} \\
|
||||
}
|
||||
\end{center}
|
||||
\vfill
|
||||
\begin{center}
|
||||
\parbox{0.618\textwidth}{%
|
||||
\raggedleft\Large
|
||||
\begin{tabular}{r}
|
||||
\theauthor \\
|
||||
\thedate \\
|
||||
\end{tabular}%
|
||||
}
|
||||
\end{center}
|
||||
\vfill
|
||||
\begin{center}
|
||||
\parbox[t]{0.7\textwidth}{\centering \itshape \extrainfocontent}
|
||||
\end{center}
|
||||
\vfill
|
||||
\end{titlepage}
|
||||
\restoregeometry
|
||||
\thispagestyle{empty}
|
||||
}
|
||||
% USAGE
|
||||
% \extrainfo{xxx}
|
||||
% \makecover{/path/to/cover.png}
|
||||
Reference in New Issue
Block a user