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Diffstat (limited to 'header.tex')
| -rw-r--r-- | header.tex | 27 |
1 files changed, 27 insertions, 0 deletions
diff --git a/header.tex b/header.tex new file mode 100644 index 0000000..0c654ab --- /dev/null +++ b/header.tex @@ -0,0 +1,27 @@ +% 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} |