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-% Macros
-\definecolor{darkred}{rgb}{.7,0,0}
-\newcommand{\real}[0]{\mathbf R}
-\newcommand{\nat}[0]{\mathbf N}
-\newcommand{\op}[0]{\mathcal}
-\newcommand{\grad}[0]{\nabla}
-\newcommand{\dive}[0] {\,\nabla\,\cdot\,}
-\newcommand{\ip}[2]{\left \langle #1,#2 \right\rangle}
-\newcommand{\norm}[1]{\left\| #1 \right\|}
-\newcommand{\pard}[2]{\partial_{#2} #1}
-\newcommand{\pardl}[2]{\frac{\partial #1}{\partial #2}}
-\newcommand{\pardd}[2]{\partial_{#2}^2 #1}
-\newcommand{\parddl}[2]{\frac{\partial^2 #1}{\partial #2^2}}
-\newcommand{\dd}[0]{\,\mathrm d}
-\newcommand{\hermite}[0]{\mathcal}
-\newcommand{\gaussian}[1]{g_{#1}}
-\newcommand{\stdgaussian}[0]{g}
-\newcommand{\test}[1]{C^\infty_c(#1)}
-\newcommand{\flp}[2]{L^{#1}(#2)}
-\newcommand{\wlp}[3]{L^{#1}(#2,#3)}
-\newcommand{\sobolev}[2]{H^{#1}(#2)}
-\newcommand{\wsobolev}[3]{H^{#1}(#2, #3)}
-\newcommand{\red}[1]{\textcolor{darkred}{#1}}
-\newcommand{\HRule}{\rule{\linewidth}{0.5mm}}
-\newcommand{\smooth}[1]{C^\infty(#1)}
-\newcommand{\cont}[2]{C^{#1}(#2)}
-\newcommand{\Space}[0]{\mathscr}