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30A99-UpperHalfPlane.tex
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48 lines (42 loc) · 1.34 KB
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\documentclass[12pt]{article}
\usepackage{pmmeta}
\pmcanonicalname{UpperHalfPlane}
\pmcreated{2013-03-22 13:37:49}
\pmmodified{2013-03-22 13:37:49}
\pmowner{brianbirgen}{2180}
\pmmodifier{brianbirgen}{2180}
\pmtitle{upper half plane}
\pmrecord{9}{34278}
\pmprivacy{1}
\pmauthor{brianbirgen}{2180}
\pmtype{Definition}
\pmcomment{trigger rebuild}
\pmclassification{msc}{30A99}
\pmrelated{UnitDisk}
\pmrelated{Complex}
\pmrelated{UnitDiskUpperHalfPlaneConformalEquivalenceTheorem}
\pmrelated{ConvertingBetweenThePoincareDiscModelAndTheUpperHalfPlaneModel}
\pmdefines{UHP}
\endmetadata
% 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{amssymb}
\usepackage{amsmath}
\usepackage{amsfonts}
% used for TeXing text within eps files
%\usepackage{psfrag}
% need this for including graphics (\includegraphics)
%\usepackage{graphicx}
% for neatly defining theorems and propositions
%\usepackage{amsthm}
% making logically defined graphics
%%%\usepackage{xypic}
% there are many more packages, add them here as you need them
% define commands here
\begin{document}
The \emph{upper half plane} in the complex plane, abbreviated UHP, is defined as $\{ z \in {\mathbb C}: \operatorname{Im}(z)>0 \}$.
%%%%%
%%%%%
\end{document}