65 lines
1.8 KiB
TeX
65 lines
1.8 KiB
TeX
\renewcommand{\ds}{\displaystyle}
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\renewcommand{\rm}[1]{\mathrm{#1}}
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\newcommand{\mf}[1]{\mathfrak{#1}}
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\newcommand{\mc}[1]{\mathcal{#1}}
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\newcommand{\ms}[1]{\mathscr{#1}}
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\newcommand{\bb}[1]{\mathbb{#1}}
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\renewcommand{\bf}[1]{\mathbf{#1}}
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\renewcommand{\sf}[1]{\mathsf{#1}}
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\renewcommand{\tt}[1]{\texttt{#1}}
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\newcommand{\inv}{^{-1}}
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\newcommand{\conj}{^{\ast}}
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\newcommand{\trans}{^\top}
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\newcommand{\cross}{^\times}
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\newcommand{\op}{^\rm{op}}
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\newcommand{\bs}{\setminus}
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\newcommand{\nsub}{\unlhd}
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\newcommand{\pnsub}{\lhd}
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\newcommand{\floor}[1]{\left\lfloor #1 \right\rfloor}
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\newcommand{\ceil}[1]{\left\lceil #1 \right\rceil}
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\newcommand{\round}[1]{\left\lfloor #1 \right\rceil}
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\newcommand{\norm}[1]{\left\lVert #1 \vphantom{l} \right\rVert}
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\newcommand{\abs}[1]{\left\lvert #1 \right\rvert}
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\newcommand{\paren}[1]{\left( #1 \right)}
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\newcommand{\braces}[1]{\left\{ #1 \right\}}
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\renewcommand{\span}[1]{\left\langle #1 \right\rangle}
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\renewcommand{\bar}[1]{\overline{#1 \vphantom{l}}}
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\newcommand{\lcm}{{\rm lcm}}
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\newcommand{\ra}{\rightarrow}
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\newcommand{\longra}{\longrightarrow}
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\newcommand{\la}{\leftarrow}
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\newcommand{\longla}{\longleftarrow}
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\newcommand{\lra}{\leftrightarrow}
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\newcommand{\imp}{\implies}
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\newcommand{\pll}{\parallel}
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\newcommand{\N}{\mathbb{N}}
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\newcommand{\Z}{\mathbb{Z}}
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\newcommand{\Q}{\mathbb{Q}}
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\newcommand{\R}{\mathbb{R}}
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\newcommand{\C}{\mathbb{C}}
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\newcommand{\F}{\mathbb{F}}
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\newcommand{\Adv}[2][]{\mathrm{Adv}_{\mathrm{#1}}[#2]}
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\DeclareMathOperator{\im}{im}
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\DeclareMathOperator{\ch}{char}
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\DeclareMathOperator{\quotient}{/}
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\newcommand{\Aut}{\mathrm{Aut}}
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\newcommand{\Gal}{\mathrm{Gal}}
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\newcommand{\irr}{\mathrm{irr}}
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\newcommand{\GF}{\mathrm{GF}}
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\let\oldexists\exists
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\renewcommand{\exists}{\oldexists\,}
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\let\oldtilde\tilde
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\renewcommand{\tilde}[1]{\widetilde{#1}}
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\let\oldhat\hat
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\renewcommand{\hat}[1]{\widehat{#1}}
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