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\renewcommand{\isamarkupheader}[1]{\section{#1}}
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\newcommand{\isasymprod}{\isamath{\mult}}
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\newcommand{\isasymzero}{\isamath{\zero}}
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\newcommand{\idt}[1]{{\mathord{\mathit{#1}}}}
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\newcommand{\var}[1]{{?\!#1}}
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\DeclareMathSymbol{\dshsym}{\mathalpha}{letters}{"2D}
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\newcommand{\dsh}{\dshsym}
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\newenvironment{matharray}[1]{\[\begin{array}{#1}}{\end{array}\]}
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\newcommand{\skp}{\smallskip}
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\newcommand{\To}{\to}
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\newcommand{\dt}{{\mathpunct.}}
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\newcommand{\Ex}[1]{\exists #1\dt\;}
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\newcommand{\Forall}{\forall}
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\newcommand{\All}[1]{\Forall #1\dt\;}
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\newcommand{\Eq}{\mathbin{\,\equiv\,}}
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\newcommand{\Impl}{\Rightarrow}
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\newcommand{\And}{\;\land\;}
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\newcommand{\Or}{\;\lor\;}
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\newcommand{\Le}{\leq}
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\newcommand{\Lt}{\lt}
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\newcommand{\lam}[1]{\mathop{\lambda} #1\dt\;}
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%\newcommand{\ap}{\mathpalette{\mathbin{\!}}{\mathbin{\!}}{\mathbin{}}{\mathbin{}}}
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\newcommand{\ap}{\mathpalette{\mathbin{}}{\mathbin{}}{\mathbin{}}{\mathbin{}}}
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\newcommand{\Union}{\bigcup}
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\newcommand{\Un}{\cup}
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\newcommand{\Int}{\cap}
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\newcommand{\norm}[1]{\left\|#1\right\|}
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\newcommand{\fnorm}[1]{\left\|#1\right\|}
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\newcommand{\zero}{0}
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\newcommand{\plus}{\mathbin{\mathbf +}}
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\newcommand{\minus}{\mathbin{\mathbf -}}
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\newcommand{\mult}{\cdot}
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%%% Local Variables:
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%%% mode: latex
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%%% TeX-master: "root"
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%%% End:
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