| author | Scott Morrison <scott@tqft.net> |
| Sat, 26 Jun 2010 16:31:28 -0700 | |
| changeset 400 | a02a6158f3bd |
| parent 398 | 2a9c637182f0 |
| child 479 | cfad13b6b1e5 |
| permissions | -rw-r--r-- |
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%auto-ignore |
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%!TEX root = blob1.tex |
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%this ensures the arxiv doesn't try to start TeXing here. |
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\usepackage{amsmath,amssymb,amsfonts,amsthm}
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\usepackage{ifpdf}
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\usepackage[all,color]{xy}
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\usepackage[section]{placeins}
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\usepackage{leftidx}
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\usepackage{stmaryrd} % additional math symbols, e.g. \mapsfrom
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\usepackage{microtype}
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\SelectTips{cm}{}
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% This may speed up compilation of complex documents with many xymatrices. |
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%\CompileMatrices |
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% ---------------------------------------------------------------- |
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\vfuzz2pt % Don't report over-full v-boxes if over-edge is small |
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\hfuzz2pt % Don't report over-full h-boxes if over-edge is small |
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% ---------------------------------------------------------------- |
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% diagrams ------------------------------------------------------- |
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% figures --------------------------------------------------------- |
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\newcommand{\pathtodiagrams}{\pathtotrunk diagrams/}
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\newcommand{\mathfig}[2]{\ensuremath{\hspace{-3pt}\begin{array}{c}%
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\raisebox{-2.5pt}{\includegraphics[width=#1\textwidth]{\pathtodiagrams #2}}%
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\end{array}\hspace{-3pt}}}
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\newcommand{\reflectmathfig}[2]{{\hspace{-3pt}\begin{array}{c}%
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\raisebox{-2.5pt}{\reflectbox{\includegraphics[width=#1\textwidth]{\pathtodiagrams #2}}}%
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\end{array}\hspace{-3pt}}}
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\newcommand{\rotatemathfig}[3]{{\hspace{-3pt}\begin{array}{c}%
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\raisebox{-2.5pt}{\rotatebox{#2}{\includegraphics[height=#1\textwidth]{\pathtodiagrams #3}}}%
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\end{array}\hspace{-3pt}}}
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\newcommand{\placefig}[2]{\includegraphics[width=#1\linewidth]{\pathtodiagrams #2}}
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\newcommand{\arxiv}[1]{\href{http://arxiv.org/abs/#1}{\tt arXiv:\nolinkurl{#1}}}
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\newcommand{\doi}[1]{\href{http://dx.doi.org/#1}{{\tt DOI:#1}}}
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\newcommand{\euclid}[1]{\href{http://projecteuclid.org/euclid.cmp/#1}{{\tt at Project Euclid: #1}}}
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\newcommand{\mathscinet}[1]{\href{http://www.ams.org/mathscinet-getitem?mr=#1}{\tt #1}}
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\newcommand{\googlebooks}[1]{(preview at \href{http://books.google.com/books?id=#1}{google books})}
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% THEOREMS ------------------------------------------------------- |
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\theoremstyle{plain}
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%\newtheorem*{fact}{Fact}
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\newtheorem{prop}{Proposition}[section]
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\newtheorem{conj}[prop]{Conjecture}
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\newtheorem{thm}[prop]{Theorem}
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\newtheorem{lem}[prop]{Lemma}
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\newtheorem*{lem*}{Lemma}
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\newtheorem{claim}[prop]{Claim}
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\newtheorem{cor}[prop]{Corollary}
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\newtheorem*{cor*}{Corollary}
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\newtheorem*{exc}{Exercise}
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\newtheorem{defn}[prop]{Definition} % numbered definition
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\newtheorem*{defn*}{Definition} % unnumbered definition
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\newtheorem{question}{Question}
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\newtheorem{property}{Property}
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\newtheorem{axiom}{Axiom}
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\newtheorem{module-axiom}{Module Axiom}
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\newenvironment{rem}{\noindent\textsl{Remark.}}{} % perhaps looks better than rem above?
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\newtheorem{rem*}[prop]{Remark}
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\numberwithin{equation}{section}
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%% example is defined in article_preamble.tex, for compatibility with beamer. |
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% Marginal notes in draft mode ----------------------------------- |
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\newcommand{\scott}[1]{\stepcounter{comment}{{\color{blue} $\star^{(\arabic{comment})}$}}\marginpar{\color{blue} $\star^{(\arabic{comment})}$ \usefont{T1}{scott}{m}{n} #1 --S}} % draft mode
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\newcommand{\kevin}[1]{\stepcounter{comment}{\color[rgb]{.2,.5,.6} $\star^{(\arabic{comment})}$}\marginpar{\color{green} $\star^{(\arabic{comment})}$ #1 --K}} % draft mode
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\newcommand{\comment}[1]{\stepcounter{comment}$\star^{(\arabic{comment})}$\marginpar{\tiny $\star^{(\arabic{comment})}$ #1}} % draft mode
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\newcounter{comment}
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\newcommand{\noop}[1]{}
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\newcommand{\todo}[1]{\textbf{\color[rgb]{.8,.2,.5}\small TODO: #1}}
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% \mathrlap -- a horizontal \smash-------------------------------- |
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% For comparison, the existing overlap macros: |
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% \def\llap#1{\hbox to 0pt{\hss#1}}
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% \def\rlap#1{\hbox to 0pt{#1\hss}}
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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{%
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\llap{$\mathsurround=0pt#1{#2}$}}
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\def\mathrlapinternal#1#2{%
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\rlap{$\mathsurround=0pt#1{#2}$}}
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\def\mathclapinternal#1#2{%
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\clap{$\mathsurround=0pt#1{#2}$}}
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% MATH ----------------------------------------------------------- |
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\newcommand{\Natural}{\mathbb N}
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\newcommand{\Integer}{\mathbb Z}
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\newcommand{\Rational}{\mathbb Q}
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\newcommand{\Real}{\mathbb R}
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\newcommand{\Complex}{\mathbb C}
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\newcommand{\Field}{\mathbb F}
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\newcommand{\id}{\boldsymbol{1}}
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\renewcommand{\imath}{\mathfrak{i}}
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\renewcommand{\jmath}{\mathfrak{j}}
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\newcommand{\qRing}{\Integer[q,q^{-1}]}
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\newcommand{\qMod}{\qRing-\operatorname{Mod}}
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\newcommand{\ZMod}{\Integer-\operatorname{Mod}}
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\newcommand{\lmod}[1]{\leftidx{_{#1}}{\operatorname{mod}}{}}
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\newcommand{\HC}{\operatorname{Hoch}}
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\newcommand{\HH}{\operatorname{HH}}
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\newcommand{\selfarrow}{\ensuremath{\!\!\!\!\!\!\xymatrix{ \ar@(ru,rd)@<-1ex>[]}\phantom{++.\!\!}}}
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\newsavebox{\selfarrowcontents}
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\savebox{\selfarrowcontents}{\selfarrow}
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\renewcommand{\selfarrow}{\usebox{\selfarrowcontents}}
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\def\bc{{\mathcal B}}
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\newcommand{\into}{\hookrightarrow}
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\newcommand{\onto}{\twoheadrightarrow}
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\newcommand{\iso}{\cong}
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\newcommand{\quism}{\underset{\text{q.i.}}{\simeq}}
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\newcommand{\htpy}{\simeq}
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\newcommand{\actsOn}{\circlearrowright}
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\newcommand{\xto}[1]{\xrightarrow{#1}}
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\newcommand{\isoto}{\xto{\iso}}
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\newcommand{\quismto}{\xrightarrow[\text{q.i.}]{\iso}}
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\newcommand{\diffeoto}{\xrightarrow[\text{diffeo}]{\iso}}
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\newcommand{\htpyto}{\xrightarrow[\text{htpy}]{\htpy}}
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\newcommand{\restrict}[2]{#1{}_{\mid #2}{}}
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\newcommand{\set}[1]{\left\{#1\right\}}
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\newcommand{\setc}[2]{\setcl{#1}{#2}}
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\newcommand{\setcl}[2]{\left\{ \left. #1 \;\right| \; #2 \right\}}
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\newcommand{\setcr}[2]{\left\{ #1 \;\left| \; #2 \right\}\right.}
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\newcommand{\relations}[2]{\left<#1 \;\left| \; #2 \right. \right>}
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\newcommand{\cone}[3]{C\left(#1 \xrightarrow{#2} #3\right)}
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\newcommand{\pairing}[2]{\left\langle#1 ,#2 \right\rangle}
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\newcommand{\floor}[1]{\left\lfloor#1\right\rfloor}
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\newcommand{\norm}[1]{\left|\left|#1\right|\right|}
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\newcommand{\abs}[1]{\left|#1\right|}
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\newcommand{\card}[1]{\sharp{#1}}
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\newcommand{\bdy}{\partial}
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\newcommand{\compose}{\circ}
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\newcommand{\eset}{\emptyset}
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\newcommand{\Set}{\text{\textbf{Set}}}
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\newcommand{\Vect}{\text{\textbf{Vect}}}
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\newcommand{\Kom}{\text{\textbf{Kom}}}
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\newcommand{\Cat}{\mathcal{C}}
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\newcommand{\psmallmatrix}[1]{\left(\begin{smallmatrix} #1 \end{smallmatrix}\right)}
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\newcommand{\qiq}[2]{[#1]_{#2}}
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\newcommand{\qi}[1]{\qiq{#1}{q}}
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\newcommand{\qdim}{\operatorname{dim_q}}
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\newcommand{\directSum}{\oplus}
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\newcommand{\DirectSum}{\bigoplus}
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\newcommand{\tensor}{\otimes}
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\newcommand{\Tensor}{\bigotimes}
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\newcommand{\db}[1]{\left(\left(#1\right)\right)}
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\newcommand{\Mat}[1]{\mathbf{Mat}\left(#1\right)}
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\newcommand{\Inv}[1]{\operatorname{Inv}\left(#1\right)}
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\newcommand{\Hom}[3]{\operatorname{Hom}_{#1}\left(#2,#3\right)}
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\newcommand{\End}[1]{\operatorname{End}\left(#1\right)}
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\newcommand{\Obj}{\operatorname{Obj}}
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\newcommand{\CM}[2]{C_*(\Maps(#1 \to #2))}
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\newcommand{\CD}[1]{C_*(\Diff(#1))}
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\newcommand{\CH}[1]{C_*(\Homeo(#1))}
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\newcommand{\cl}[1]{\underrightarrow{#1}}
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\newcommand{\directSumStack}[2]{{\begin{matrix}#1 \\ \DirectSum \\#2\end{matrix}}}
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\newcommand{\directSumStackThree}[3]{{\begin{matrix}#1 \\ \DirectSum \\#2 \\ \DirectSum \\#3\end{matrix}}}
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\newcommand{\grading}[1]{{\color{blue}\{#1\}}}
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\newcommand{\shift}[1]{\left[#1\right]}
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\newenvironment{narrow}[2]{%
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\vspace{-0.4cm}% horrible hack, by scott % this only seems to be appropriate in beamer mode...
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\begin{list}{}{%
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\setlength{\topsep}{0pt}%
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\setlength{\leftmargin}{#1}%
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\setlength{\rightmargin}{#2}%
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\setlength{\listparindent}{\parindent}%
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\setlength{\itemindent}{\parindent}%
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\setlength{\parsep}{\parskip}}%
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\item[]}{\end{list}}
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% ---------------------------------------------------------------- |
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