266 lines
8.2 KiB
Plaintext
266 lines
8.2 KiB
Plaintext
\documentclass[12pt,titlepage]{article}
|
|
|
|
\usepackage{amsmath}
|
|
\usepackage{amsfonts}
|
|
\usepackage{amssymb}
|
|
\usepackage{amsthm}
|
|
\usepackage{mathtools}
|
|
<%- if @tex_content =~ /\\mathbb\{[^}]*[a-z0-9]+[^}]*\}/ -%>
|
|
\usepackage{mathbbol}
|
|
<% end -%>
|
|
\usepackage{graphicx}
|
|
\usepackage{color}
|
|
\usepackage{ucs}
|
|
\usepackage[utf8x]{inputenc}
|
|
\usepackage{xparse}
|
|
\usepackage{hyperref}
|
|
|
|
%----Macros----------
|
|
%
|
|
% Unresolved issues:
|
|
%
|
|
% \righttoleftarrow
|
|
% \lefttorightarrow
|
|
%
|
|
% \color{} with HTML colorspec
|
|
% \bgcolor
|
|
% \array with options (without options, it's equivalent to the matrix environment)
|
|
|
|
% Of the standard HTML named colors, white, black, red, green, blue and yellow
|
|
% are predefined in the color package. Here are the rest.
|
|
\definecolor{aqua}{rgb}{0, 1.0, 1.0}
|
|
\definecolor{fuschia}{rgb}{1.0, 0, 1.0}
|
|
\definecolor{gray}{rgb}{0.502, 0.502, 0.502}
|
|
\definecolor{lime}{rgb}{0, 1.0, 0}
|
|
\definecolor{maroon}{rgb}{0.502, 0, 0}
|
|
\definecolor{navy}{rgb}{0, 0, 0.502}
|
|
\definecolor{olive}{rgb}{0.502, 0.502, 0}
|
|
\definecolor{purple}{rgb}{0.502, 0, 0.502}
|
|
\definecolor{silver}{rgb}{0.753, 0.753, 0.753}
|
|
\definecolor{teal}{rgb}{0, 0.502, 0.502}
|
|
|
|
% Because of conflicts, \space and \mathop are converted to
|
|
% \itexspace and \operatorname during preprocessing.
|
|
|
|
% itex: \space{ht}{dp}{wd}
|
|
%
|
|
% Height and baseline depth measurements are in units of tenths of an ex while
|
|
% the width is measured in tenths of an em.
|
|
\makeatletter
|
|
\newdimen\itex@wd%
|
|
\newdimen\itex@dp%
|
|
\newdimen\itex@thd%
|
|
\def\itexspace#1#2#3{\itex@wd=#3em%
|
|
\itex@wd=0.1\itex@wd%
|
|
\itex@dp=#2ex%
|
|
\itex@dp=0.1\itex@dp%
|
|
\itex@thd=#1ex%
|
|
\itex@thd=0.1\itex@thd%
|
|
\advance\itex@thd\the\itex@dp%
|
|
\makebox[\the\itex@wd]{\rule[-\the\itex@dp]{0cm}{\the\itex@thd}}}
|
|
\makeatother
|
|
|
|
% \tensor and \multiscript
|
|
\makeatletter
|
|
\newif\if@sup
|
|
\newtoks\@sups
|
|
\def\append@sup#1{\edef\act{\noexpand\@sups={\the\@sups #1}}\act}%
|
|
\def\reset@sup{\@supfalse\@sups={}}%
|
|
\def\mk@scripts#1#2{\if #2/ \if@sup ^{\the\@sups}\fi \else%
|
|
\ifx #1_ \if@sup ^{\the\@sups}\reset@sup \fi {}_{#2}%
|
|
\else \append@sup#2 \@suptrue \fi%
|
|
\expandafter\mk@scripts\fi}
|
|
\def\tensor#1#2{\reset@sup#1\mk@scripts#2_/}
|
|
\def\multiscripts#1#2#3{\reset@sup{}\mk@scripts#1_/#2%
|
|
\reset@sup\mk@scripts#3_/}
|
|
\makeatother
|
|
|
|
% \slash
|
|
\makeatletter
|
|
\newbox\slashbox \setbox\slashbox=\hbox{$/$}
|
|
\def\itex@pslash#1{\setbox\@tempboxa=\hbox{$#1$}
|
|
\@tempdima=0.5\wd\slashbox \advance\@tempdima 0.5\wd\@tempboxa
|
|
\copy\slashbox \kern-\@tempdima \box\@tempboxa}
|
|
\def\slash{\protect\itex@pslash}
|
|
\makeatother
|
|
|
|
% math-mode versions of \rlap, etc
|
|
% from Alexander Perlis, "A complement to \smash, \llap, and lap"
|
|
% http://math.arizona.edu/~aprl/publications/mathclap/
|
|
\def\clap#1{\hbox to 0pt{\hss#1\hss}}
|
|
\def\mathllap{\mathpalette\mathllapinternal}
|
|
\def\mathrlap{\mathpalette\mathrlapinternal}
|
|
\def\mathclap{\mathpalette\mathclapinternal}
|
|
\def\mathllapinternal#1#2{\llap{$\mathsurround=0pt#1{#2}$}}
|
|
\def\mathrlapinternal#1#2{\rlap{$\mathsurround=0pt#1{#2}$}}
|
|
\def\mathclapinternal#1#2{\clap{$\mathsurround=0pt#1{#2}$}}
|
|
|
|
% Renames \sqrt as \oldsqrt and redefine root to result in \sqrt[#1]{#2}
|
|
\let\oldroot\root
|
|
\def\root#1#2{\oldroot #1 \of{#2}}
|
|
\renewcommand{\sqrt}[2][]{\oldroot #1 \of{#2}}
|
|
|
|
% Manually declare the txfonts symbolsC font
|
|
\DeclareSymbolFont{symbolsC}{U}{txsyc}{m}{n}
|
|
\SetSymbolFont{symbolsC}{bold}{U}{txsyc}{bx}{n}
|
|
\DeclareFontSubstitution{U}{txsyc}{m}{n}
|
|
|
|
% Manually declare the stmaryrd font
|
|
\DeclareSymbolFont{stmry}{U}{stmry}{m}{n}
|
|
\SetSymbolFont{stmry}{bold}{U}{stmry}{b}{n}
|
|
|
|
% Declare specific arrows from txfonts without loading the full package
|
|
\makeatletter
|
|
\def\re@DeclareMathSymbol#1#2#3#4{%
|
|
\let#1=\undefined
|
|
\DeclareMathSymbol{#1}{#2}{#3}{#4}}
|
|
\re@DeclareMathSymbol{\neArrow}{\mathrel}{symbolsC}{116}
|
|
\re@DeclareMathSymbol{\neArr}{\mathrel}{symbolsC}{116}
|
|
\re@DeclareMathSymbol{\seArrow}{\mathrel}{symbolsC}{117}
|
|
\re@DeclareMathSymbol{\seArr}{\mathrel}{symbolsC}{117}
|
|
\re@DeclareMathSymbol{\nwArrow}{\mathrel}{symbolsC}{118}
|
|
\re@DeclareMathSymbol{\nwArr}{\mathrel}{symbolsC}{118}
|
|
\re@DeclareMathSymbol{\swArrow}{\mathrel}{symbolsC}{119}
|
|
\re@DeclareMathSymbol{\swArr}{\mathrel}{symbolsC}{119}
|
|
\re@DeclareMathSymbol{\nequiv}{\mathrel}{symbolsC}{46}
|
|
\re@DeclareMathSymbol{\Perp}{\mathrel}{symbolsC}{121}
|
|
\re@DeclareMathSymbol{\Vbar}{\mathrel}{symbolsC}{121}
|
|
\re@DeclareMathSymbol{\sslash}{\mathrel}{stmry}{12}
|
|
\re@DeclareMathSymbol{\invamp}{\mathrel}{symbolsC}{77}
|
|
\re@DeclareMathSymbol{\parr}{\mathrel}{symbolsC}{77}
|
|
\makeatother
|
|
|
|
% Widecheck
|
|
\makeatletter
|
|
\DeclareRobustCommand\widecheck[1]{{\mathpalette\@widecheck{#1}}}
|
|
\def\@widecheck#1#2{%
|
|
\setbox\z@\hbox{\m@th$#1#2$}%
|
|
\setbox\tw@\hbox{\m@th$#1%
|
|
\widehat{%
|
|
\vrule\@width\z@\@height\ht\z@
|
|
\vrule\@height\z@\@width\wd\z@}$}%
|
|
\dp\tw@-\ht\z@
|
|
\@tempdima\ht\z@ \advance\@tempdima2\ht\tw@ \divide\@tempdima\thr@@
|
|
\setbox\tw@\hbox{%
|
|
\raise\@tempdima\hbox{\scalebox{1}[-1]{\lower\@tempdima\box
|
|
\tw@}}}%
|
|
{\ooalign{\box\tw@ \cr \box\z@}}}
|
|
\makeatother
|
|
|
|
% \mathraisebox{voffset}[height][depth]{something}
|
|
\makeatletter
|
|
\NewDocumentCommand\mathraisebox{moom}{%
|
|
\IfNoValueTF{#2}{\def\@temp##1##2{\raisebox{#1}{$\m@th##1##2$}}}{%
|
|
\IfNoValueTF{#3}{\def\@temp##1##2{\raisebox{#1}[#2]{$\m@th##1##2$}}%
|
|
}{\def\@temp##1##2{\raisebox{#1}[#2][#3]{$\m@th##1##2$}}}}%
|
|
\mathpalette\@temp{#4}}
|
|
\makeatletter
|
|
|
|
% udots (taken from yhmath)
|
|
\makeatletter
|
|
\def\udots{\mathinner{\mkern2mu\raise\p@\hbox{.}
|
|
\mkern2mu\raise4\p@\hbox{.}\mkern1mu
|
|
\raise7\p@\vbox{\kern7\p@\hbox{.}}\mkern1mu}}
|
|
\makeatother
|
|
|
|
%% Fix array
|
|
\newcommand{\itexarray}[1]{\begin{matrix}#1\end{matrix}}
|
|
%% \itexnum is a noop
|
|
\newcommand{\itexnum}[1]{#1}
|
|
|
|
%% Renaming existing commands
|
|
\newcommand{\underoverset}[3]{\underset{#1}{\overset{#2}{#3}}}
|
|
\newcommand{\widevec}{\overrightarrow}
|
|
\newcommand{\darr}{\downarrow}
|
|
\newcommand{\nearr}{\nearrow}
|
|
\newcommand{\nwarr}{\nwarrow}
|
|
\newcommand{\searr}{\searrow}
|
|
\newcommand{\swarr}{\swarrow}
|
|
\newcommand{\curvearrowbotright}{\curvearrowright}
|
|
\newcommand{\uparr}{\uparrow}
|
|
\newcommand{\downuparrow}{\updownarrow}
|
|
\newcommand{\duparr}{\updownarrow}
|
|
\newcommand{\updarr}{\updownarrow}
|
|
\newcommand{\gt}{>}
|
|
\newcommand{\lt}{<}
|
|
\newcommand{\map}{\mapsto}
|
|
\newcommand{\embedsin}{\hookrightarrow}
|
|
\newcommand{\Alpha}{A}
|
|
\newcommand{\Beta}{B}
|
|
\newcommand{\Zeta}{Z}
|
|
\newcommand{\Eta}{H}
|
|
\newcommand{\Iota}{I}
|
|
\newcommand{\Kappa}{K}
|
|
\newcommand{\Mu}{M}
|
|
\newcommand{\Nu}{N}
|
|
\newcommand{\Rho}{P}
|
|
\newcommand{\Tau}{T}
|
|
\newcommand{\Upsi}{\Upsilon}
|
|
\newcommand{\omicron}{o}
|
|
\newcommand{\lang}{\langle}
|
|
\newcommand{\rang}{\rangle}
|
|
\newcommand{\Union}{\bigcup}
|
|
\newcommand{\Intersection}{\bigcap}
|
|
\newcommand{\Oplus}{\bigoplus}
|
|
\newcommand{\Otimes}{\bigotimes}
|
|
\newcommand{\Wedge}{\bigwedge}
|
|
\newcommand{\Vee}{\bigvee}
|
|
\newcommand{\coproduct}{\coprod}
|
|
\newcommand{\product}{\prod}
|
|
\newcommand{\closure}{\overline}
|
|
\newcommand{\integral}{\int}
|
|
\newcommand{\doubleintegral}{\iint}
|
|
\newcommand{\tripleintegral}{\iiint}
|
|
\newcommand{\quadrupleintegral}{\iiiint}
|
|
\newcommand{\conint}{\oint}
|
|
\newcommand{\contourintegral}{\oint}
|
|
\newcommand{\infinity}{\infty}
|
|
\newcommand{\bottom}{\bot}
|
|
\newcommand{\minusb}{\boxminus}
|
|
\newcommand{\plusb}{\boxplus}
|
|
\newcommand{\timesb}{\boxtimes}
|
|
\newcommand{\intersection}{\cap}
|
|
\newcommand{\union}{\cup}
|
|
\newcommand{\Del}{\nabla}
|
|
\newcommand{\odash}{\circleddash}
|
|
\newcommand{\negspace}{\!}
|
|
\newcommand{\widebar}{\overline}
|
|
\newcommand{\textsize}{\normalsize}
|
|
\renewcommand{\scriptsize}{\scriptstyle}
|
|
\newcommand{\scriptscriptsize}{\scriptscriptstyle}
|
|
\newcommand{\mathfr}{\mathfrak}
|
|
\newcommand{\statusline}[2]{#2}
|
|
\newcommand{\tooltip}[2]{#2}
|
|
\newcommand{\toggle}[2]{#2}
|
|
|
|
% Theorem Environments
|
|
\theoremstyle{plain}
|
|
\newtheorem{theorem}{Theorem}
|
|
\newtheorem{lemma}{Lemma}
|
|
\newtheorem{prop}{Proposition}
|
|
\newtheorem{cor}{Corollary}
|
|
\newtheorem*{utheorem}{Theorem}
|
|
\newtheorem*{ulemma}{Lemma}
|
|
\newtheorem*{uprop}{Proposition}
|
|
\newtheorem*{ucor}{Corollary}
|
|
\theoremstyle{definition}
|
|
\newtheorem{defn}{Definition}
|
|
\newtheorem{example}{Example}
|
|
\newtheorem*{udefn}{Definition}
|
|
\newtheorem*{uexample}{Example}
|
|
\theoremstyle{remark}
|
|
\newtheorem{remark}{Remark}
|
|
\newtheorem{note}{Note}
|
|
\newtheorem*{uremark}{Remark}
|
|
\newtheorem*{unote}{Note}
|
|
|
|
%-------------------------------------------------------------------
|
|
|
|
\begin{document}
|
|
|
|
%-------------------------------------------------------------------
|
|
|
|
<%= @content_for_layout %>
|
|
|
|
\end{document}
|