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Viewing Preamble for Euclidean space as a manifold

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% this is the default PlanetMath preamble. as your knowledge
% of TeX increases, you will probably want to edit this, but
% it should be fine as is for beginners.

% almost certainly you want these
\usepackage{amsmath}
\usepackage{amsfonts}
\usepackage{amssymb}

\usepackage{bbm}

\newcommand{\En}{\mathbbmss{E}^n}
\newcommand{\V}{\mathbbmss{V}}
\newcommand{\R}{\mathbbmss{R}}
\newcommand{\T}{\operatorname{T}}