84 lines
3.2 KiB
TeX
84 lines
3.2 KiB
TeX
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% BB shortcuts (for number spaces, etc)
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\newcommand{\C}{\mathbb{C}}
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\newcommand{\D}{\mathbb{D}}
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\newcommand{\E}{\mathbb{E}}
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\newcommand{\I}{\mathbb{I}}
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\newcommand{\J}{\mathbb{J}}
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\newcommand{\N}{\mathbb{N}}
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\newcommand{\Q}{\mathbb{Q}}
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\newcommand{\R}{\mathbb{R}}
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\newcommand{\V}{\mathbb{V}}
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\newcommand{\Z}{\mathbb{Z}}
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% Caligraphic
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\newcommand{\cA}{\mathcal{A}}
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\newcommand{\cB}{\mathcal{B}}
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\newcommand{\cC}{\mathcal{C}}
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\newcommand{\cD}{\mathcal{D}}
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\newcommand{\cE}{\mathcal{E}}
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\newcommand{\cF}{\mathcal{F}}
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\newcommand{\cG}{\mathcal{G}}
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\newcommand{\cH}{\mathcal{H}}
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\newcommand{\cI}{\mathcal{I}}
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\newcommand{\cJ}{\mathcal{J}}
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\newcommand{\cK}{\mathcal{K}}
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\newcommand{\cL}{\mathcal{L}}
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\newcommand{\cM}{\mathcal{M}}
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\newcommand{\cN}{\mathcal{N}}
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\newcommand{\cO}{\mathcal{O}}
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\newcommand{\cP}{\mathcal{P}}
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\newcommand{\cQ}{\mathcal{Q}}
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\newcommand{\cR}{\mathcal{R}}
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\newcommand{\cS}{\mathcal{S}}
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\newcommand{\cT}{\mathcal{T}}
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\newcommand{\cU}{\mathcal{U}}
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\newcommand{\cV}{\mathcal{V}}
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\newcommand{\cW}{\mathcal{W}}
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\newcommand{\cX}{\mathcal{X}}
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\newcommand{\cY}{\mathcal{Y}}
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\newcommand{\cZ}{\mathcal{Z}}
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% other useful shortcuts
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\newcommand{\8}{\infty}
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\newcommand{\dx}{\text{ d}}
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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{\hastoeq}{\overset{!}{=}}
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\newcommand{\Leftrightarrowequiv}{\overset{\cdot}{\Leftrightarrow}}
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\newcommand{\Longleftrightarrowequiv}{\overset{\cdot}{\Longleftrightarrow}}
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\newcommand{\Rightarrowequiv}{\overset{\cdot}{\Rightarrow}}
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\newcommand{\Leftarrowequiv}{\overset{\cdot}{\Leftarrow}}
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\newcommand{\defAs}{\overset{\text{def}}{=}}
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\newcommand{\der}[1]{\frac{\mbox{d}}{\mbox{d}#1}}
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\newcommand{\dern}[2]{\frac{\mbox{d}^{#2}}{\mbox{d}^{#2}#1}}
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\newcommand{\parder}[1]{\frac{\partial}{\partial #1}}
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\newcommand{\pardern}[2]{\frac{\partial^{#2}}{\partial^{#2} #1}}
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\newcommand{\defEquiv}{\overset{\text{def}}{\Leftrightarrow}}
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\newcommand{\defImplies}{\overset{\text{def}}{\Rightarrow}}
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\newcommand{\divides}{\hspace{0.25em}|\hspace{0.25em}}
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\newcommand{\mbeq}{\overset{!}{=}}
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\newcommand{\lcm}{\text{lcm}}
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\newcommand{\limit}[2]{\lim_{#1 \rightarrow #2}}
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\newcommand{\seq}[1]{(#1_n)_{n \geq 1}}
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\newcommand{\ser}[2]{\sum_{k = 1}^{#2} #1_k}
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\newcommand{\limni}{\limit{n}{\infty}}
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\newcommand{\limnz}{\limit{n}{0}}
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\newcommand{\limxz}{\limit{x_0}{0}}
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\newcommand{\limhz}{\limit{h}{0}}
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\newcommand{\liminfni}{\liminf_{n \rightarrow \infty}}
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\newcommand{\limsupni}{\limsup_{n \rightarrow \infty}}
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\newcommand{\elementstack}[2]{\genfrac{}{}{0pt}{}{#1}{#2}}
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\DeclareMathOperator\arctanh{arctanh}
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\DeclareMathOperator\arccosh{arccosh}
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\DeclareMathOperator\arcsinh{arcsinh}
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