diff --git a/elegantbook.cls b/elegantbook.cls index e944381..56cc619 100644 --- a/elegantbook.cls +++ b/elegantbook.cls @@ -1,11 +1,11 @@ %%%%%%%%%%%%%%%%%%%%%% %% start of file `elegantbook.cls'. -%% Copyright 2013-2019 ElegantLaTeX (ElegantLaTeX2e@gmail.com) +%% Copyright 2013-2019 ElegantLaTeX (ddswhu@126.com) %% %% This work may be distributed and/or modified freely %% available at https://ddswhu.me/resource/ % % -%% Last Modification 2018-9-11 +%% Last Modification 2018-12-02 %%%%%%%%%%%%%%%%%%%%% % % !Mode:: "TeX:UTF-8" \NeedsTeXFormat{LaTeX2e} @@ -44,22 +44,22 @@ \RequirePackage{xcolor} \ifdefstring{\ELEGANT@color}{green}{ \definecolor{main}{RGB}{0,120,2}% - \definecolor{seco}{RGB}{230,90,7}% - \definecolor{thid}{RGB}{0,160,152}% + \definecolor{second}{RGB}{230,90,7}% + \definecolor{third}{RGB}{0,160,152}% % \base{greenbase.pdf}% }{\relax} \ifdefstring{\ELEGANT@color}{cyan}{ \definecolor{main}{RGB}{0,175,152}% - \definecolor{seco}{RGB}{239,126,30}% - \definecolor{thid}{RGB}{120,8,13}% + \definecolor{second}{RGB}{239,126,30}% + \definecolor{third}{RGB}{120,8,13}% % \base{cyanbase.pdf}% }{\relax} \ifdefstring{\ELEGANT@color}{blue}{ \definecolor{main}{RGB}{20,50,104}% - \definecolor{seco}{RGB}{180,50,131}% - \definecolor{thid}{RGB}{7,127,128}% + \definecolor{second}{RGB}{180,50,131}% + \definecolor{third}{RGB}{7,127,128}% % \base{bluebase.pdf}% }{\relax} @@ -112,7 +112,7 @@ \newcommand*{\myquote}[1]{\def\@myquote{#1}} \newcommand*{\logo}[1]{ - \def\@logo{\includegraphics[height=5.8cm]{#1} + \def\@logo{\includegraphics[width=0.5\textwidth]{#1} } } @@ -202,20 +202,18 @@ \defaultfontfeatures{Mapping=tex-text} \RequirePackage{xunicode} \RequirePackage{xltxtra} -\setmainfont[Ligatures=TeX]{Minion Pro} % (\textrm) -\setsansfont{Myriad Pro} % (\textsf) -\setmonofont{Inconsolata}%Palatino Linotype +\setmainfont[Ligatures=TeX]{Times New Roman} % (\textrm) +\setsansfont{Arial} % (\textsf) +\setmonofont{Courier New}%Palatino Linotype %-中文字体设置-% \RequirePackage{xeCJK} \setCJKmainfont[BoldFont={黑体},ItalicFont={楷体}]{宋体}%方正书宋_GBK Adobe Song Std L华文中宋 -\setCJKsansfont[BoldFont={黑体}]{楷体} +\setCJKsansfont[BoldFont={黑体},ItalicFont={楷体}]{楷体} \setCJKmonofont{楷体} \XeTeXlinebreaklocale "zh" \XeTeXlinebreakskip = 0pt plus 1pt -\setCJKfamilyfont{new}{方正苏新诗柳楷简体} -\setCJKfamilyfont{note}{方正启体简体} -\newfontfamily\gara{Adobe Garamond Pro} + %% 定理\引理\定义样式设置 \RequirePackage{environ} @@ -225,123 +223,123 @@ \definecolor{bule}{RGB}{18,29,57} \definecolor{bablue}{RGB}{248,248,248} -%define the style of tikz newthemsty -\tikzstyle{newthemsty} +%define the style of tikz etheoremsty +\tikzstyle{etheoremsty} =[draw=main, fill=blue!10,very thick,rectangle, rounded corners, inner sep=10pt, inner ysep=20pt] -\tikzstyle{newthemstytitle} +\tikzstyle{etheoremstytitle} =[fill=main, text=blue!10] -\tikzstyle{newdefinitionsty} - =[draw=seco, fill=yellow!20,very thick,rectangle, +\tikzstyle{edefinitionsty} + =[draw=second, fill=yellow!20,very thick,rectangle, rounded corners, inner sep=10pt, inner ysep=20pt, text=black,fill opacity=0.9] -\tikzstyle{newdefinitionstytitle} - =[fill=seco, text=white] +\tikzstyle{edefinitionstytitle} + =[fill=second, text=white] -\tikzstyle{newpropositionsty} - =[draw=thid, fill=bablue,very thick,rectangle, +\tikzstyle{epropositionositionsty} + =[draw=third, fill=bablue,very thick,rectangle, rounded corners, inner sep=10pt, inner ysep=20pt, text=black,fill opacity=0.9] -\tikzstyle{newpropositionstytitle} - =[fill=thid, text=white] +\tikzstyle{epropositionositionstytitle} + =[fill=third, text=white] -%%define the "newthem" environment -\newcounter{Newthem}[chapter] -\renewcommand{\theNewthem}{\thechapter.\arabic{Newthem}} -\NewEnviron{newthem}[1][{}]{% +%%define the "etheorem" environment +\newcounter{etheorem}[chapter] +\renewcommand{\theetheorem}{\thechapter.\arabic{etheorem}} +\NewEnviron{etheorem}[1][{}]{% \begin{figure}[!htb] \noindent\centering \begin{tikzpicture} -\node[newthemsty] (box){ +\node[etheoremsty] (box){ \begin{minipage}{0.93\columnwidth} - \sffamily\refstepcounter{Newthem}\BODY + \sffamily\refstepcounter{etheorem}\BODY \end{minipage}}; -\node[newthemstytitle,right=10pt] at (box.north west){ - \bf\textsf{Theorem \theNewthem\; #1}}; -\node[newthemstytitle, rounded corners] at (box.east) {$\clubsuit$}; +\node[etheoremstytitle,right=10pt] at (box.north west){ + \bf\textsf{Theorem \theetheorem\; #1}}; +\node[etheoremstytitle, rounded corners] at (box.east) {$\clubsuit$}; \end{tikzpicture} \end{figure}} -%%define the "newlemma" environment -\newcounter{Newlemma}[chapter] -\renewcommand{\theNewlemma}{\thechapter.\arabic{Newlemma}} -\NewEnviron{newlemma}[1][{}]{% +%%define the "elemma" environment +\newcounter{elemma}[chapter] +\renewcommand{\theelemma}{\thechapter.\arabic{elemma}} +\NewEnviron{elemma}[1][{}]{% \begin{figure}[!htb] \noindent\centering \begin{tikzpicture} -\node[newthemsty] (box){ +\node[etheoremsty] (box){ \begin{minipage}{0.93\columnwidth} - \sffamily\refstepcounter{Newlemma}\BODY + \sffamily\refstepcounter{elemma}\BODY \end{minipage}}; -\node[newthemstytitle,right=10pt] at (box.north west){ - \bf\textsf{Lemma \theNewlemma\; #1}}; -\node[newthemstytitle, rounded corners] at (box.east) {$\clubsuit$}; +\node[etheoremstytitle,right=10pt] at (box.north west){ + \bf\textsf{Lemma \theelemma\; #1}}; +\node[etheoremstytitle, rounded corners] at (box.east) {$\clubsuit$}; \end{tikzpicture} \end{figure}} -%%define the "newcorol" environment -\newcounter{Newcorol}[chapter] -\renewcommand{\theNewcorol}{\thechapter.\arabic{Newcorol}} -\NewEnviron{newcorol}[1][{}]{% +%%define the "ecorollary" environment +\newcounter{ecorollary}[chapter] +\renewcommand{\theecorollary}{\thechapter.\arabic{ecorollary}} +\NewEnviron{ecorollary}[1][{}]{% \begin{figure}[!htb] \noindent\centering \begin{tikzpicture} -\node[newthemsty] (box){ +\node[etheoremsty] (box){ \begin{minipage}{0.93\columnwidth} - \sffamily\refstepcounter{Newcorol}\BODY + \sffamily\refstepcounter{ecorollary}\BODY \end{minipage}}; -\node[newthemstytitle,right=10pt] at (box.north west){ - \bf\textsf{Corollary \theNewcorol\; #1}}; -\node[newthemstytitle, rounded corners] at (box.east) {$\clubsuit$}; +\node[etheoremstytitle,right=10pt] at (box.north west){ + \bf\textsf{Corollary \theecorollary\; #1}}; +\node[etheoremstytitle, rounded corners] at (box.east) {$\clubsuit$}; \end{tikzpicture} \end{figure}} %% define the "proposition" environment -\newcounter{Newprop}[chapter] -\renewcommand{\theNewprop}{\thechapter.\arabic{Newprop}} -\NewEnviron{newprop}[1][{}]{% +\newcounter{eproposition}[chapter] +\renewcommand{\theeproposition}{\thechapter.\arabic{eproposition}} +\NewEnviron{eproposition}[1][{}]{% \begin{figure}[!htb]\noindent\centering \begin{tikzpicture} -\node[newpropositionsty] (box){ +\node[epropositionositionsty] (box){ \begin{minipage}{0.93\columnwidth} - \sffamily\refstepcounter{Newprop}\BODY + \sffamily\refstepcounter{eproposition}\BODY \end{minipage}}; -\node[newpropositionstytitle,right=10pt] at (box.north west){ - \bf\textsf{Proposition \theNewprop\; #1}}; -\node[newpropositionstytitle, rounded corners] at (box.east) {$\spadesuit$}; +\node[epropositionositionstytitle,right=10pt] at (box.north west){ + \bf\textsf{Proposition \theeproposition\; #1}}; +\node[epropositionositionstytitle, rounded corners] at (box.east) {$\spadesuit$}; \end{tikzpicture} \end{figure}} -%%define the "newdef" environment -\newcounter{Newdefinition}[chapter] -\renewcommand{\theNewdefinition}{\thechapter.\arabic{Newdefinition}} -\NewEnviron{newdef}[1][{}]{% +%%define the "edefinition" environment +\newcounter{edefinition}[chapter] +\renewcommand{\theedefinition}{\thechapter.\arabic{edefinition}} +\NewEnviron{edefinition}[1][{}]{% \begin{figure}[!htb]\noindent\centering \begin{tikzpicture} -\node [newdefinitionsty] (dbox){\begin{minipage}{0.93\textwidth}\itshape\refstepcounter{Newdefinition}\BODY\end{minipage}}; -\node[newdefinitionstytitle, right=10pt] at (dbox.north west) {\bf\textsf{Definition \theNewdefinition\; #1}}; -\node[newdefinitionstytitle, rounded corners] at (dbox.east) {$\heartsuit$}; +\node [edefinitionsty] (dbox){\begin{minipage}{0.93\textwidth}\itshape\refstepcounter{edefinition}\BODY\end{minipage}}; +\node[edefinitionstytitle, right=10pt] at (dbox.north west) {\bf\textsf{Definition \theedefinition\; #1}}; +\node[edefinitionstytitle, rounded corners] at (dbox.east) {$\heartsuit$}; \end{tikzpicture} \end{figure}} %% Example with counter -\newcounter{Newexam}[chapter] -\renewcommand{\theNewexam}{\thechapter.\arabic{Newexam}} -\newenvironment{example}{\par\noindent\textbf{Example\,\stepcounter{Newexam}\theNewexam: }\color{black!90}}{\par} +\newcounter{example}[chapter] +\renewcommand{\theexample}{\thechapter.\arabic{example}} +\newenvironment{example}{\par\noindent\textbf{Example\,\stepcounter{example}\theexample: }\color{black!90}}{\par} %% Exercise with counter -\newcounter{Newexer}[chapter] -\renewcommand{\theNewexer}{\thechapter.\arabic{Newexer}} -\newenvironment{exercise}{\par\noindent{\makebox[0pt][r]{\color{main}\ding{50}\;\;}}\textbf{Exercise\,\stepcounter{Newexer}\theNewexer: }}{\par} +\newcounter{exercise}[chapter] +\renewcommand{\theexercise}{\thechapter.\arabic{exercise}} +\newenvironment{exercise}{\par\noindent{\makebox[0pt][r]{\color{main}\ding{50}\;\;}}\textbf{Exercise\,\stepcounter{exercise}\theexercise: }}{\par} -%%define the note and newproof environment +%%define the note and eproof environment \RequirePackage{pifont,manfnt} -\newenvironment{note}{\par\itshape\CJKfamily{note}\gara\noindent{\makebox[0pt][r]{\scriptsize\color{red!90}\textdbend\quad}\textbf{Note:}}}{\par} +\newenvironment{note}{\par\itshape\noindent{\makebox[0pt][r]{\scriptsize\color{red!90}\textdbend\quad}\textbf{Note:}}}{\par} -\newenvironment{remark}{\par\itshape\CJKfamily{note}\gara\noindent{\makebox[0pt][r]{\color{red!90}\ding{96}\quad}\textbf{Remarks:}}}{\par} +\newenvironment{remark}{\par\itshape\noindent{\makebox[0pt][r]{\color{red!90}\ding{96}\quad}\textbf{Remarks:}}}{\par} \newenvironment{assumption}{\par\noindent\textbf{Assumptions: }\color{black!90}}{\par} @@ -350,7 +348,7 @@ \newenvironment{property}{\par\noindent\textbf{Properties: }}{\par} -\newenvironment{newproof}{\par\noindent{\makebox[0pt][r]{\color{main}\ding{43}\;\;}\textbf{Proof:}}\color{black!90}\small}{\hfill$\Box$\quad\par} +\newenvironment{eproof}{\par\noindent{\makebox[0pt][r]{\color{main}\ding{43}\;\;}\textbf{Proof:}}\color{black!90}\small}{\hfill$\Box$\quad\par} \newenvironment{solution}{\par\noindent{\makebox[0pt][r]{\color{main}\ding{46}\;\;}\textbf{Solution:}}\small}{\hfill$\Box$\quad\par} @@ -391,10 +389,10 @@ \vfill \vspace*{2cm} \begin{center} -\color{seco} +\color{second} \rule{0.8\textwidth}{2pt}\\ -\Huge {\color{main} \bfseries \the\entitle } {\color{seco} \bfseries \the\enend}\\ -{\Huge \CJKfamily{new}{\color{main} \the\zhtitle } \the\zhend}\\ +\Huge {\color{main} \bfseries \the\entitle } {\color{second} \bfseries \the\enend}\\ +{\Huge \bfseries{\color{main} \the\zhtitle } \the\zhend}\\ \rule{0.8\textwidth}{2pt} \end{center} \vskip3ex @@ -410,16 +408,16 @@ \vfill \vspace{2cm} \begin{flushright} -\color{seco} +\color{second} \rule{0.45\textwidth}{1pt}\\ -整理:{\color{main}\@author}\\ -整理时间:{\color{main}\today}\\ -Email: \hyperlink{\the\email}{\the\email}\\ +作者:{\color{main}\@author}\\ +时间:{\color{main}\today}\\ +邮箱: \hyperlink{\the\email}{\the\email}\\ \rule{0.45\textwidth}{1pt} \end{flushright} \vfill \begin{center} -\color{seco} Version: \the\version +\color{second} Version: \the\version \end{center} \vfil\eject } diff --git a/figure/logo.png b/figure/logo.png index 7e530a5..4c30412 100644 Binary files a/figure/logo.png and b/figure/logo.png differ diff --git a/figure/logo_old.png b/figure/logo_old.png new file mode 100644 index 0000000..7e530a5 Binary files /dev/null and b/figure/logo_old.png differ diff --git a/guide.pdf b/guide.pdf index 4ff0b7c..de7a6a6 100644 Binary files a/guide.pdf and b/guide.pdf differ diff --git a/guide.tex b/guide.tex index f312fc5..e78a16a 100644 --- a/guide.tex +++ b/guide.tex @@ -8,23 +8,23 @@ \zhend{模板} \entitle{Elegant\LaTeX{} Book} \enend{Template} -\version{2.30} +\version{2.40} \myquote{Victory won\rq t come to us unless we go to it.} -\logo{logo.pdf} +\logo{logo.png} \cover{cover.pdf} %green color \definecolor{main1}{RGB}{0,120,2} - \definecolor{seco1}{RGB}{230,90,7} - \definecolor{thid1}{RGB}{0,160,152} + \definecolor{second1}{RGB}{230,90,7} + \definecolor{third1}{RGB}{0,160,152} %cyan color \definecolor{main2}{RGB}{0,175,152} - \definecolor{seco2}{RGB}{239,126,30} - \definecolor{thid2}{RGB}{120,8,13} + \definecolor{second2}{RGB}{239,126,30} + \definecolor{third2}{RGB}{120,8,13} %blue color \definecolor{main3}{RGB}{20,50,104} - \definecolor{seco3}{RGB}{180,50,131} - \definecolor{thid3}{RGB}{7,127,128} + \definecolor{second3}{RGB}{180,50,131} + \definecolor{third3}{RGB}{7,127,128} \usepackage{makecell} \usepackage{lipsum} @@ -64,7 +64,7 @@ 我以前从未写过类文件,所以,写这个模板的过程必然是折腾的过程,在写模板的过程中,最主要参考了《写给\LaTeXe{} 类与宏包的作者》\cite{packagewriter}、moderncv.cls 文件、\href{http://aff.whu.edu.cn/huangzh/}{武汉大学黄正华老师的论文模板}、《\LaTeXe{} 完全学习手册》\cite{complete}、{\itshape The Not So Short Introduction to \LaTeXe{}}\cite{oetiker2010not}以及各大\LaTeX{} 疑问解答网站,在此为无私奉献的组织和个人表示感谢! -{\color{thid}忍不住插个图!} +{\color{third}忍不住插个图!} \begin{figure}[!hbtp] \includegraphics[width=0.8\textwidth]{happy.jpg} @@ -79,7 +79,7 @@ 如果您在使用此模板,方便的话,是否可以把您使用此模板制作的成品发一份给我们,谢谢! -\section{关于字体} +\section{关于字体(已删除)} 基于本模板追求视觉上的美观的角度,强烈建议使用者安装./fonts/文件夹下的字体。出于版权的考虑,务必不能将此模板用于涉及盈利目的的商业行为,否则,后果自负,本模板带的字体仅供学习使用,如果您喜欢某种字体,请自行购买正版。本文主要使用的字体如下 @@ -104,11 +104,11 @@ 本文特殊选项设置共有3类,分为{\color{main}颜色} 、{\color{main} 数学字体 }以及{\color{main} 章标题显示风格}。 \subsection{选项设置} -第一类为{\color{main}颜色}主题设置,内置 3 组颜色主题,分别为 \verb|green|(默认),\verb|cyan|,\verb|blue|,另外还有一个自定义的选项 \verb|nocolor|,用户\textbf{必须}在使用模板的时候选择某个颜色主题或选择 \verb|nocolor|选项。调用颜色主题 \verb|green| 的方法为\verb|\documentclass[green]{elegantbook}|或者使用\verb|\documentclass[color=green]{elegantbook}|。需要改变颜色的话请选择 \verb|nocolor|选项或者使用 \verb|color=none|,然后在导言区定义main、seco、thid颜色,具体的方法如下: +第一类为{\color{main}颜色}主题设置,内置 3 组颜色主题,分别为 \verb|green|(默认),\verb|cyan|,\verb|blue|,另外还有一个自定义的选项 \verb|nocolor|,用户\textbf{必须}在使用模板的时候选择某个颜色主题或选择 \verb|nocolor|选项。调用颜色主题 \verb|green| 的方法为\verb|\documentclass[green]{elegantbook}|或者使用\verb|\documentclass[color=green]{elegantbook}|。需要改变颜色的话请选择 \verb|nocolor|选项或者使用 \verb|color=none|,然后在导言区定义main、second、third颜色,具体的方法如下: \begin{verbatim} \definecolor{main}{RGB}{70,70,70} %定义main颜色值 -\definecolor{seco}{RGB}{115,45,2} %定义seco颜色值 -\definecolor{thid}{RGB}{0,80,80} %定义thid颜色值 +\definecolor{second}{RGB}{115,45,2} %定义second颜色值 +\definecolor{third}{RGB}{0,80,80} %定义third颜色值 \end{verbatim} 第二类为{\color{main}数学字体}设置,有两个可选项,分别是 mathpazo(默认) 和 mtpro2 字体,调用mathpazo 字体使用 \verb|\documentclass[mathpazo]{elegantbook}|,调用 mtpro2 字体时需要把 \verb|mathpazo|换成 \verb|mtpro|,mathpazo 不需要用户自己安装字体,mtpro2 的字体需要自己安装。 @@ -119,11 +119,11 @@ \toprule & green & cyan & blue & 主要使用的环境\\ \midrule -main & \makecell{{\color{main1}\rule{1cm}{1cm}}}& \makecell{{\color{main2}\rule{1cm}{1cm}}}&\makecell{ {\color{main3}\rule{1cm}{1cm}}}& newthem \ newlemma \ newcorol\\ +main & \makecell{{\color{main1}\rule{1cm}{1cm}}}& \makecell{{\color{main2}\rule{1cm}{1cm}}}&\makecell{ {\color{main3}\rule{1cm}{1cm}}}& etheorem \ elemma \ ecorollary\\ -seco &\makecell{ {\color{seco1}\rule{1cm}{1cm}}}& \makecell{{\color{seco2}\rule{1cm}{1cm}}}&\makecell{ {\color{seco3}\rule{1cm}{1cm}}}&newdef\\ +second &\makecell{ {\color{second1}\rule{1cm}{1cm}}}& \makecell{{\color{second2}\rule{1cm}{1cm}}}&\makecell{ {\color{second3}\rule{1cm}{1cm}}}&edefinition\\ -thid &\makecell{ {\color{thid1}\rule{1cm}{1cm}}}& \makecell{{\color{thid2}\rule{1cm}{1cm}}}&\makecell{ {\color{thid3}\rule{1cm}{1cm}}}&newprop\\ +third &\makecell{ {\color{third1}\rule{1cm}{1cm}}}& \makecell{{\color{third2}\rule{1cm}{1cm}}}&\makecell{ {\color{third3}\rule{1cm}{1cm}}}&eproposition\\ \bottomrule \end{tabular} \caption{ElegantBook 模板中的三套颜色主题\label{tab:color thm}} @@ -138,11 +138,11 @@ thid &\makecell{ {\color{thid1}\rule{1cm}{1cm}}}& \makecell{{\color{thid2}\rule{ \begin{enumerate} \item 定理类环境,包含标题和内容两部分。根据格式的不同分为3种 \begin{itemize} -\item {\color{main} newthem、newlemma、newcorol} 环境,颜色为主颜色main,三者编号均以章节为单位; -\item {\color{main} newdef} 环境,含有一个可选项,编号以章节为单位,颜色为seco; -\item {\color{main} newprop} 环境,含有一个可选项,编号以章节为单位,颜色为thid。 +\item {\color{main} etheorem、elemma、ecorollary} 环境,颜色为主颜色main,三者编号均以章节为单位; +\item {\color{main} edefinition} 环境,含有一个可选项,编号以章节为单位,颜色为second; +\item {\color{main} eproposition} 环境,含有一个可选项,编号以章节为单位,颜色为third。 \end{itemize} -\item 证明类环境,有 {\color{main} newproof、note、remark、solution} 环境,特点是,有引导符和引导词,并且 newproof、solution 环境有结束标志。 +\item 证明类环境,有 {\color{main} eproof、note、remark、solution} 环境,特点是,有引导符和引导词,并且 eproof、solution 环境有结束标志。 \item 结论类环境,有 {\color{main} conclusion、assumption、property} 环境,三者均以粗体的引导词为开头,和普通段落格式一致。 \item 示例类环境--- {\color{main} example、exercise}环境,编号以章节为单位,其中exercise环境有引导符。 \item 自定义环境--- {\color{main} custom},带一个必选参数,格式与conclusion 环境很类似。 @@ -164,9 +164,9 @@ thid &\makecell{ {\color{thid1}\rule{1cm}{1cm}}}& \makecell{{\color{thid2}\rule{ where $z$ is stochastic process or white noise or wiener process. -\begin{newdef}[Wiener Process] +\begin{edefinition}[Wiener Process] If $z$ is wiener process, then for any partition $t_0,t_1,t_2,\ldots$ of time interval, the random variables $z(t_1)-z(t_0),z(t_2)-z(t_1),\ldots$ are independently and normally distributed with zero means and variance $t_1-t_0,t_2-t_1,\ldots$ -\end{newdef} +\end{edefinition} \lipsum[5] @@ -178,11 +178,11 @@ $E$ and $F$ be two events such that $\mbf{P}(E)=\mbf{P}(F)=1/2$, and $\mbf{P}(E\ let $S=l^\infty=\big\{(x_n)\mid \exists\, M \text{ such that } \forall n, |x_n|\leq M,x_n\in \mathbb{R}\big\}$, $\rho_{\infty}(x,y)=\sup\limits_{n\geq 1}|x_n-y_n|$, show that $\big(l^\infty,\rho_{\infty}\big)$ is complete. \end{exercise} -\begin{newthem}[勾股定理]\label{thm:31} +\begin{etheorem}[勾股定理]\label{thm:31} 勾股定理的数学表达(Expression)为 \[a^2+b^2=c^2\] 其中$a,b$为直角三角形的两条直角边长,$c$为直角三角形斜边长。 -\end{newthem} +\end{etheorem} \begin{note} 在本模板中,引理(lemma),推论(corollary )的样式和定理的样式一致,包括颜色,仅仅只有计数器的设置不一样。在这个例稿中,我们将不给出引理推论的例子。 @@ -191,19 +191,19 @@ let $S=l^\infty=\big\{(x_n)\mid \exists\, M \text{ such that } \forall n, |x_n|\ \lipsum[4] -\begin{newprop}[最优性原理] +\begin{eproposition}[最优性原理] 如果$u^*$在$[s,T]$上为最优解,则$u^*$在$[s,T]$任意子区间都是最优解,假设区间为$[t_0,t_1]$的最优解为$u^*$,则$u(t_0)=u^{*}(t_0)$,即初始条件必须还是在$u^*$上。 -\end{newprop} +\end{eproposition} \lipsum[5-6] -\begin{newcorol} +\begin{ecorollary} 假设$V(\cdot,\cdot)$为值函数,则跟据最大值原理~\ref{thm:31},有如下推论 \[ V(k,z)=\max\Big\{u\big(zf(k)-y\big)+\beta \mathbb{E}V(y,z^\prime)\Big\} \] -\end{newcorol} +\end{ecorollary} -\begin{newproof} +\begin{eproof} 因为 $y^*=\alpha\beta z k^\alpha$,$V(k,z)=\alpha/1-\alpha\beta\ln k_0+1/1-\alpha\beta \ln z_0+\Delta$。 \begin{align*} \text{右边}&=\Big\{u\big(zf(k)-y\big)+\beta \mathbb{E}V(y,z^\prime)\Big\}\\ @@ -216,7 +216,7 @@ V(k,z)=\max\Big\{u\big(zf(k)-y\big)+\beta \mathbb{E}V(y,z^\prime)\Big\} &=\frac{\alpha}{1-\alpha\beta}\ln k+\frac{1}{1-\alpha\beta}\ln z+\Delta \end{align*} 所以$\text{左边}=\text{右边}$,证毕。 -\end{newproof} +\end{eproof} @@ -237,13 +237,13 @@ This is one example of the custom environment, the key word is given by the opti \lipsum[6] -\begin{newdef}[Contraction mapping] +\begin{edefinition}[Contraction mapping] $(S,\rho)$ is the metric space, $T: S\to S$, If there exists $\alpha\in(0,1)$ such that for any $x$ and $y\in S$, the distance \begin{equation} \rho(Tx,Ty)\leq \alpha\rho(x,y) \end{equation} Then $T$ is a {\color{main} contraction mapping}. -\end{newdef} +\end{edefinition} \begin{remark} \begin{enumerate}