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