263 lines
7.3 KiB
TeX
263 lines
7.3 KiB
TeX
% The TAME Programming Language LaTeX style and macros
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%
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% Copyright (C) 2021 Ryan Specialty Group, LLC.
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%
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% Licensed under the Creative Commons Attribution-ShareAlike 4.0
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% International License.
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%%
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%%
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% Package Imports
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%%
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\usepackage[letterpaper]{geometry} % US Letter paper
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\usepackage[amsfonts,amssymb]{concmath} % Fonts used by the text
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\usepackage{euler} % Concrete Mathematics
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\usepackage{makeidx} % Indexing
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\usepackage[colorlinks=true,
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linkcolor=href,
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draft=false]{hyperref} % Hyperlinks (even in draft mode)
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\usepackage{xcolor} % Colors (for hyperlinks)
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\usepackage{amsmath,amsthm} % AMS macros, including theorems
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\usepackage{suffix} % To aid in defining star macros
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\usepackage{marginnote} % Notes in the margin
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\usepackage{ccicons} % CC license icons
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\usepackage{manfnt} % Dangerous Bend symbols
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\usepackage{rotating} % Rotating objects
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%%
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% Colors
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%
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% Colors from Tango Icon Theme
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% https://en.wikipedia.org/wiki/Tango_Desktop_Project
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\definecolor{href}{HTML}{204a87}
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%%
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% Common typesetting
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%%
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% TAME
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\newcommand\tame{\textsc{Tame}}
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\newcommand\tamer{\textsc{Tamer}}
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\newcommand\tameparam[1]{\texttt{#1}}
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\newcommand\tameclass[1]{\texttt{#1}}
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\newcommand\tameconst[1]{\texttt{#1}}
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\newcommand\tametrue{\tameconst{TRUE}}
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\newcommand\tamefalse{\tameconst{FALSE}}
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\let\tamepkg\texttt
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% XML
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\let\xml\texttt
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\newcommand\xmlnl{\\[-3mm]}
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\newcommand\xmlnll{\\[-1mm]}
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\newcommand\xpath[1]{\texttt{#1}}
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\newcommand\xmlnode[1]{\texttt{#1}}
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\newcommand\xmlattr[1]{{@\texttt{#1}}}
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%%
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% Mathematics
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%%
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% Boolean
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\newcommand\true{\ensuremath\top}
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\newcommand\false{\ensuremath\bot}
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\newcommand\Bool{\ensuremath{\mathbb{B}}}
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% Numbers
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\newcommand\Int{\ensuremath{\mathbb{Z}}}
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\newcommand\Real{\ensuremath{\mathbb{R}}}
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% Sets and families
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\newcommand\Set[1]{\ensuremath{\left\{#1\right\}}}
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\newcommand\Fam[3]{\ensuremath{\left\{#1_{#2}\right\}_{#2\in #3}}}
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\newcommand\len[1]{\ensuremath{\left|#1\right|}}
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\newcommand\rank[1]{\ensuremath{\left\|#1\right\|}}
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\newcommand\PSet[1]{\mathcal{P}\left(#1\right)}
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\newcommand\PSetcard[2]{\mathcal{P}_{#1}\left(#2\right)}
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\let\union\cup
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\let\Union\bigcup
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\let\intersect\cap
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% Vectors and matrices with family notations
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\newcommand\Vectors{\ensuremath{\mathcal{V}}}
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\newcommand\Vector[1]{\ensuremath{\left\langle#1\right\rangle}}
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\newcommand\VFam[3]{\ensuremath{\Vector{#1_{#2}}_{#2\in #3}}}
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\newcommand\Matrices{\ensuremath{\Vectors^{\Vectors^\Real}}}
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\newcommand\MFam[5]{\ensuremath{%
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\Vector{{#1_{#2}}_#4}_{\underset{#4\in {#5_#2}}{#2\in #3}}
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}}
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\newcommand\undef{\boxtimes}
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% Variable subscripts
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\let\varsubscript\imath
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\newcommand\varsub[1]{{#1}_{\varsubscript}}
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% Logic
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\let\infer\vdash
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\newcommand\Forall{\@ifstar\@Forallstar\@Forall}
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\newcommand\@Forall[2]{\forall #1\left(#2\right)}
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\newcommand\@Forallstar[2]{\forall #1 #2}
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\newcommand\Exists{\@ifstar\@Existsstar\@Exists}
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\newcommand\@Exists[2]{\exists #1\left(#2\right)}
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\newcommand\@Existsstar[2]{\exists #1 #2}
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% Equivalent, but some syntatic inference involved (e.g. equivalent by
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% index, as in classification matches).
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\newcommand\equivish{\equiv_{\varsubscript}}
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% Group theory
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\newcommand\Monoid[3]{\left({#1},{#2},{#3}\right)}
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\let\monoidop\bullet
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\newcommand\monoidops{\monoidop\cdots\monoidop}
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% Closed binary function
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\newcommand\cbif[1]{#1\times#1\rightarrow#1}
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% Binary function composition
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\newcommand\bicomp[1]{{#1}^\circ}
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% Grammar
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\let\emptystr\epsilon
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% TAME Classification
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\DeclareMathOperator*\Classify{%
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\mathchoice{\vcenter{\hbox{\huge$\mathfrak{C}$}}}
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{\vcenter{\hbox{\Large$\mathfrak{C}$}}}
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{\frak{C}}
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{\frak{C}}
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}
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% Convenience variants
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\DeclareMathOperator*\Classifyland{%
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\mathchoice{\vcenter{\hbox{\huge$\mathfrak{C}^\land$}}}
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{\vcenter{\hbox{\Large$\mathfrak{C}\land$}}}
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{\frak{C^\land}}
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{\frak{C^\land}}
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}
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\DeclareMathOperator*\Classifylor{%
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\mathchoice{\vcenter{\hbox{\huge$\mathfrak{C}^\lor$}}}
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{\vcenter{\hbox{\Large$\mathfrak{C}\lor$}}}
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{\frak{C^\lor}}
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{\frak{C^\lor}}
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}
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%%
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% Theorem environments
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%%
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\numberwithin{equation}{section} % number by section
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% Create a new theorem environment along with a set of label/ref/pref
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% commands.
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\newcommand\newtheoremwithlabel[3]{%
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\newtheorem{#1}{#2}[section]
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\expandafter\def\csname #1autorefname\endcsname{#2}
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\expandafter\newcommand\csname #3label\endcsname[1]{\label{#1:##1}}
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\expandafter\newcommand\csname #3ref\endcsname[1]{\autoref{#1:##1}}
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\expandafter\newcommand\csname #3pref\endcsname[1]{\spref{#1:##1}}
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}
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\theoremstyle{definition}
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\newtheoremwithlabel{definition}{Definition}{dfn}
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\newtheoremwithlabel{axiom}{Axiom}{axm}
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\theoremstyle{plain}
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\newtheoremwithlabel{corollary}{Corollary}{cor}
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\newtheoremwithlabel{lemma}{Lemma}{lem}
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\newtheoremwithlabel{theorem}{Theorem}{thm}
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\theoremstyle{remark}
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\newtheoremwithlabel{remark}{Remark}{rem}
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%%
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% Optional page reference
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%%
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% "Smart" page reference changing the text depending on what page the
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% reference appears relative to the current.
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\newcount\@sprefn
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\newcommand\spref[1]{%
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% We use labels to get the current page from the previous run, since
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% \thepage can be inaccurate except right after a \newpage.
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\advance\@sprefn by 1\relax%
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\label{__:#1SELF\the\@sprefn}%
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\xdef\@@realp{\getpagerefnumber{__:#1SELF\the\@sprefn}}%
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\autoref{#1}%
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\xdef\@pref{\getpagerefnumber{#1}}%
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\ifnum\@pref=\@@realp
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% Output nothing; it'd read really awkwardly, for example, if we output
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% a figure using [h] and then say "Figure X on this page" in the
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% paragraph that's _right_ below it. Even if we didn't use [h]. I
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% noticed this awkward effect in Specifying Systems.
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\else
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\space
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\newcount\@p\@p=\@@realp
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\advance\@p by 1\relax
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\ifnum\@p=\@pref
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on the next page%
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\else
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\advance\@p by -2\relax
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\ifnum\@p=\@pref
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on the previous page%
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\else
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on \autopageref{#1}%
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\fi
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\fi
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\fi
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}
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%%
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% General typesetting
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%%
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\newcommand\pref[1]{\ref{#1} on page~\pageref{#1}}
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\newcommand\seclabel[1]{\label{sec:#1}}
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\newcommand\secref[1]{Section~\ref{sec:#1}}
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\newcommand\secpref[1]{Section~\pref{sec:#1}}
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% Definitions (introduction of terms)
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\let\dfn\textsl
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\newcommand\todo[1]{%
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\marginnote{\underline{\textsc{Todo:}}\\
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\textsl{#1}}%
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}
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\newcommand\mremark[1]{\marginnote{\textsl{#1}}}
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% A really obnoxious notice making clear to the reader that this portion of
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% the work is unfinished, to the point where it's probably even
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% incorrect. Uses dangerous bend symbol from manfnt, which is admittedly a
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% misuse given that it's often used to represent difficult problems. Though
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% I suppose an unfinished work is a difficult problem.
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\newcommand\INCOMPLETE[1]{%
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\bigskip
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\par
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\todo{This is incomplete!}
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\hfill\textdbend\textbf{\textsl{#1}}\textdbend\hfill
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\bigskip
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}
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%%
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% Indexing
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%%
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% Symbols appear at the beginning of the index
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\newcommand\indexsym[2]{\index{__sym_#2@{\ensuremath{#1}}|see {#2}}}
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%%
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% Dynamic Configuration
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%%
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\newif\iftplappendix
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\InputIfFileExists{./conf.tex}%
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{\message{Loaded `./conf.tex'.}}%
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{\message{`./conf.tex' not found (did you run `./configure'?).
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Using defaults.}%
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}
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