upper half planeUpperHalfPlane2003-05-12 11:59:462007-06-05 10:03:57DefinitionUHP% 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 hereThe \emph{upper half plane} in the complex plane, abbreviated UHP, is defined as $\{ z \in {\mathbb C}: \operatorname{Im}(z)>0 \}$.